Question 1

Arrange the following words in correct alphabetical (dictionary) order and identify which word will come last in that order: 1. Abandon  2. Actuate  3. Accumulate  4. Acquit  5. Achieve.

Accepted Answer

Introduction / Context: This is an alphabetical order or dictionary order question. You are given a small list of words and asked to decide which one appears last if all words are arranged as in an English dictionary. These questions test basic knowledge of alphabetical rules and are very common in aptitude exams and clerical recruitment tests. Given Data / Assumptions: • The given words are: Abandon, Actuate, Accumulate, Acquit and Achieve. • We assume standard English dictionary rules where words are compared letter by letter from left to right. • If all words share some initial letters, comparison continues from the first position where they differ. Concept / Approach: Dictionary order is determined by comparing letters at the same position in each word. The first place where two words differ decides which one comes first or last in alphabetical sequence. The process is similar to how you would search for a word in a dictionary: you first look at the initial letter, then the second, and so on. Step-by-Step Solution: Step 1: Write the words clearly: Abandon, Actuate, Accumulate, Acquit, Achieve.Step 2: Compare first letters. All words begin with the letter A, so we move to the second letters.Step 3: The second letters are: Abandon (b), Actuate (c), Accumulate (c), Acquit (c), Achieve (c). Since b comes before c, Abandon will definitely come before all the other four words.Step 4: Now consider only words starting with "Ac": Actuate, Accumulate, Acquit, Achieve. We now compare their third letters.Step 5: Write third letters: Actuate (t), Accumulate (c), Acquit (q), Achieve (h). Alphabetically, c comes before h, h comes before q, and q comes before t.Step 6: Therefore, among the "Ac" words, the correct alphabetical order is: Accumulate, Achieve, Acquit, Actuate.Step 7: Putting Abandon in the full list, we get final order: Abandon, Accumulate, Achieve, Acquit, Actuate. Thus, the word that comes last is Actuate. Verification / Alternative check: You can confirm by writing each word vertically and comparing column wise. Once you note that all start with A, you focus on the second and third letters. A useful shorthand is to mentally treat only the first three or four letters: Aba, Act, Acc, Acq and Ach. Sorting these small fragments gives the overall order very quickly, and it agrees with the detailed comparison above. Why Other Options Are Wrong: • Accumulate: This comes before Achieve because c is alphabetically earlier than h in the third letter position. • Acquit: This comes before Actuate, because q is earlier than t in alphabetical order. • Achieve: This comes earlier than Acquit and Actuate because h comes before q and t at the third letter position. • Abandon: This is the earliest of all because its second letter is b, which comes before c used in the other words. Common Pitfalls: Some candidates look only at the first two letters and mistakenly assume that all "Ac..." words are in random order. Others may incorrectly think that the length of the word affects dictionary order, but length only matters when one word is a complete starting segment of another. Here that situation does not occur, so we rely entirely on letter by letter comparison. Final Answer: When the words are arranged in correct dictionary order, the word that comes last is Actuate.

Question 2

From the word "LAPAROSCOPY", without changing the order of letters and using each letter at most once for any single word, how many independent meaningful English words can be formed (for example, "LAP" or "COPY")?

Accepted Answer

Introduction / Context: This question asks you to find independent meaningful words hidden inside a longer word, without rearranging the letters. The word given is "LAPAROSCOPY", which is itself a medical term. You must scan this string from left to right and identify smaller English words that appear in order as contiguous letter groups. This type of puzzle checks both observation and vocabulary. Given Data / Assumptions: • The base word is "LAPAROSCOPY". • We are allowed to use each letter only once for any single word and cannot change the relative order of letters; that is, we look for natural segments within the word. • We count independent meaningful English words, typically of at least three letters, that a general exam taker is expected to recognise. Concept / Approach: The strategy is to slide a window of length three or more across the word and check whether each substring is a valid English word. Because the string is fairly long, you do not need to test every possible substring. Instead, start by spotting very familiar short words like "LAP" or "COP" and then see if any longer complete words such as "COPY" also appear. Each such segment must appear exactly as it is written in the base word and must be contiguous. Step-by-Step Solution: Step 1: Write the word clearly: L A P A R O S C O P Y.Step 2: Look from the beginning. The first three letters "LAP" form the common English word "LAP". So "LAP" is one independent word.Step 3: Move further. Around the middle we notice the letters C O P at positions that read as "COP", which is another valid English word meaning a police officer. So "COP" is the second independent word.Step 4: Observe the last four letters. They read as "COPY", which is also a very common English word meaning duplicate.Step 5: Thus we have identified three independent meaningful words inside "LAPAROSCOPY": "LAP", "COP" and "COPY".Step 6: We briefly check if there are any other obvious short words of length three such as "PAR" or "ROS" that are equally strong, but the three identified words are the clearest and most standard examples. Verification / Alternative check: You can verify by marking these segments on the original word. "LAP" uses the letters in positions 1 to 3, "COP" uses letters C O P that appear consecutively towards the end, and "COPY" uses C O P Y as the last four letters. None of these segments overlap in a way that violates the rule for any single word, and all of them are widely known English words. Hence a count of three is justified. Why Other Options Are Wrong: • 1: This would assume that only one meaningful word exists inside the string, which is clearly incorrect because even a quick glance reveals "LAP" and "COPY". • 2: Counting only two words ignores one of the three clear segments and therefore underestimates the total. • 4 or 5: To reach four or five, we would need to include less obvious or debatable segments that are not standard everyday words, which is not intended for this reasoning question. Common Pitfalls: Students sometimes allow themselves to rearrange letters, creating anagrams like "POLY" or "SOAP", which is not allowed here because we must preserve order. Another frequent mistake is to count the same set of letters both as a shorter and longer word in a way that double counts the same segment, but the question only asks for how many different meaningful words exist, not for a disjoint partition of letters. Focusing on contiguous, clearly independent dictionary words avoids these errors. Final Answer: The number of independent meaningful words that can be formed from the word "LAPAROSCOPY" without changing the letter order is 3 (namely "LAP", "COP" and "COPY").

Question 3

The English alphabet from A to Z is divided into two halves: A to M and N to Z. The first half is reversed so that the order becomes M to A, and the second half is reversed so that the order becomes Z to N. In this newly formed sequence, which lette…

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Introduction / Context: This question involves a two step transformation of the English alphabet followed by a multi step positional movement. First, each half of the alphabet is reversed independently, and then within this new sequence you must apply instructions like "seventeenth to the right" and "sixth to the left". This is a challenging type of alphabet test problem that checks careful reading and precise positional calculations. Given Data / Assumptions: • The original alphabet is A, B, C, ..., X, Y, Z (26 letters). • The first half is A to M (13 letters) and the second half is N to Z (another 13 letters). • The first half is reversed to produce M, L, K, J, I, H, G, F, E, D, C, B, A. • The second half is reversed to produce Z, Y, X, W, V, U, T, S, R, Q, P, O, N. • The new combined sequence is M L K J I H G F E D C B A Z Y X W V U T S R Q P O N. • In this new sequence, we must find: the seventh letter from the left, then the seventeenth letter to its right, and finally the sixth letter to the left of that result. Concept / Approach: There are two main conceptual steps. The first is constructing the transformed alphabet by reversing each half. The second is handling nested positional instructions. It is easier to convert every step into index numbers. We label positions in the new sequence from 1 to 26, find the required intermediate positions using addition and subtraction, and then fetch the corresponding letters. Step-by-Step Solution: Step 1: Write the new sequence with indices: 1 M, 2 L, 3 K, 4 J, 5 I, 6 H, 7 G, 8 F, 9 E, 10 D, 11 C, 12 B, 13 A, 14 Z, 15 Y, 16 X, 17 W, 18 V, 19 U, 20 T, 21 S, 22 R, 23 Q, 24 P, 25 O, 26 N.Step 2: Identify the seventh letter from the left. At position 7 we have G.Step 3: From this letter G, find the seventeenth letter to the right. Moving right means adding 17 to the index: position = 7 + 17 = 24.Step 4: At position 24 in the new sequence we have P.Step 5: Now we need the sixth letter to the left of P. Moving left means subtracting 6 from the index: position = 24 - 6 = 18.Step 6: At position 18 in the new sequence we find the letter V.Step 7: Therefore, the required letter after all the described movements is V. Verification / Alternative check: As a check, you can also move step by step directly on the sequence by counting letters instead of indices. From G, count rightwards 17 letters one by one to land on P. Then from P count leftwards 6 letters to land on V. Doing this slowly and carefully confirms that both the index based and manual counting methods point to V as the correct answer. Why Other Options Are Wrong: • U: U is at position 19, which would be reached if we had moved only five places left from P instead of six. • C: C is at position 11 in the sequence and is unrelated to the instructed multi step movement based on G and P. • D: D is at position 10 and again does not match the calculated final position after correctly applying all steps. • T: T is at position 20, which would correspond to moving four letters left from P. This does not match the given instruction of moving six letters left. Common Pitfalls: Many students forget that each half must be reversed independently and incorrectly reverse the entire alphabet in one go, leading to a different sequence. Others misinterpret "seventeenth to the right" as simply the seventeenth letter from the left. A further common error is off by one miscounting while adding or subtracting positions. Using clearly numbered positions and simple arithmetic is the safest way to avoid these traps. Final Answer: In the transformed alphabet, the letter obtained after applying all the positional instructions is V.

Question 4

In the word "MISFORTUNE", the first and second letters are interchanged, the third and fourth letters are interchanged, the fifth and sixth letters are interchanged, and so on in pairs. After all these swaps, which letter will be the eighth letter w…

Accepted Answer

Introduction / Context: This word based reasoning question asks you to perform pairwise swaps of letters in "MISFORTUNE" and then identify a specific letter by position. It combines simple operations on strings with accurate counting, which is an essential skill in many logical reasoning tests. Given Data / Assumptions: • The original word is "MISFORTUNE". • Swaps occur between letters in pairs: positions (1,2), (3,4), (5,6), (7,8) and (9,10). • The word has 10 letters, so all letters are included in some pair. • After forming the new word through these swaps, we need the eighth letter from the left. Concept / Approach: The concept is straightforward adjacent swapping. Rather than mentally juggling all changes, we can write the original word with positions and then swap each pair step by step. Finally, we read off the letter at the required position from the left. Because the question asks for the eighth letter from the left side, no conversion from right side positions is needed. Step-by-Step Solution: Step 1: Write the original word and label positions: 1 M, 2 I, 3 S, 4 F, 5 O, 6 R, 7 T, 8 U, 9 N, 10 E.Step 2: Swap positions 1 and 2: I, M, S, F, O, R, T, U, N, E.Step 3: Swap positions 3 and 4: I, M, F, S, O, R, T, U, N, E.Step 4: Swap positions 5 and 6: I, M, F, S, R, O, T, U, N, E.Step 5: Swap positions 7 and 8: I, M, F, S, R, O, U, T, N, E.Step 6: Swap positions 9 and 10: I, M, F, S, R, O, U, T, E, N.Step 7: The final arrangement is "IMFSROUTEN". Now locate the eighth letter from the left.Step 8: Counting: 1 I, 2 M, 3 F, 4 S, 5 R, 6 O, 7 U, 8 T. So the eighth letter is T. Verification / Alternative check: You can verify by writing "IMFSROUTEN" and simply counting letters from left to right. To be doubly sure, re check at least one of the swaps, for example that the pair T and U indeed became U and T, and that N and E became E and N. This confirms that the transformation is consistent and that the eighth character is correctly identified as T. Why Other Options Are Wrong: • O: O appears at position 6 from the left, not at position 8. • F: F appears at position 3 after the swaps and therefore does not satisfy the required position. • I: I appears at position 1; it is not the eighth letter. • M: M appears at position 2, again too early in the word. Common Pitfalls: Some candidates accidentally skip one of the pairs or swap the wrong positions. Another common mistake is to stop the swapping process too early and then count positions based on a partially transformed word. A neat way to avoid this is to mark every pair explicitly and tick off each swap as you complete it. That ensures the final arrangement is correct before you identify the requested position. Final Answer: After all adjacent pairs in "MISFORTUNE" are swapped, the eighth letter from the left in the resulting word is T.

Question 5

From the word "ASTOUNDER", without changing the order of letters and using each letter at most once for any single word, how many independent meaningful English words can be formed (for example, "AS" or "UNDER")?

Accepted Answer

Introduction / Context: This question asks you to find smaller meaningful words hidden inside the longer word "ASTOUNDER" without rearranging the letters. Such questions test vocabulary and pattern spotting, especially the ability to recognise short common words within a longer string of characters. Given Data / Assumptions: • The base word is "ASTOUNDER". • You cannot change the order of letters; you only look for contiguous segments that themselves form English words. • You may use each letter at most once for any single word, but different words can reuse the same letter positions for counting purposes. • We focus on common everyday English words of at least two or three letters that an exam aspirant is expected to know. Concept / Approach: The best approach is to scan from left to right and look for familiar smaller words. Articles, prepositions and common verbs like "AS", "TO" or "UNDER" often appear inside longer words. Here, noticing "AS" at the beginning and "UNDER" at the end is a strong clue. Then we confirm which of these segments are valid independent words and count them. Step-by-Step Solution: Step 1: Write the word clearly with positions: A S T O U N D E R.Step 2: Look at the first two letters. "AS" is a standard English word, used as a conjunction or preposition. So "AS" is one meaningful word.Step 3: Look at the letters T O together. "TO" is another very common English word, used as a preposition or part of the infinitive form of verbs. So "TO" is a second word.Step 4: Check the latter part of the string. The letters U N D E R appear consecutively and form the word "UNDER", which is a very familiar English preposition.Step 5: We have therefore identified three meaningful words inside "ASTOUNDER": "AS", "TO" and "UNDER".Step 6: There is no equally obvious additional segment that forms a simple, common word without rearranging letters, so the count remains three. Verification / Alternative check: If you mark these words on the base string, you will see that "AS" uses positions 1 and 2, "TO" uses positions 3 and 4, and "UNDER" uses positions 5 to 9. All three are standard words frequently used in everyday English. Their independent existence as valid dictionary entries justifies including all three in the count of independent words. Why Other Options Are Wrong: • 1: This would mean only one meaningful word exists, which is clearly wrong given that at least "AS" and "UNDER" are visibly present. • 2: A count of two ignores one of the three clear segments, so it underestimates the total. • 4 or more: To reach four or more, we would need to stretch the definition of a simple visible word or allow rearrangements, which the question does not allow. Common Pitfalls: Some learners overlook very short words like "AS" or "TO" because they focus only on three or four letter segments. Others mistakenly rearrange letters to create anagrams, which is beyond the allowed operations. A careful left to right scan with attention to common tiny words prevents these mistakes and leads quickly to the correct count. Final Answer: The number of independent meaningful words that can be formed from "ASTOUNDER" without changing letter order is 3 ("AS", "TO" and "UNDER").

Question 6

Consider the sequence of characters: Q 2 3 B 9 V 5 L S R F P. If 1 is subtracted from each of the numbers in the sequence, which element will be the fourth to the right of the tenth element from the right?

Accepted Answer

Introduction / Context: This mixed series question involves both numbers and letters. You are first asked to adjust every number in the series by subtracting 1, and then to perform a position based search from the right side. Such problems test your ability to handle simple arithmetic on series elements and then carry out two stage positional reasoning accurately. Given Data / Assumptions: • Original sequence: Q 2 3 B 9 V 5 L S R F P. • All digits in the sequence must be reduced by 1, while letters remain unchanged. • After this transformation, we must locate the tenth element from the right and then count four places to the right of that element to find the final answer. Concept / Approach: The solution involves two clear steps: first transform the sequence, then apply positional counting. For transformation, only numerical elements change. For position based reasoning, we must count carefully from the right and then from that reference point move further to the right. Keeping the entire transformed sequence in order makes this much less error prone. Step-by-Step Solution: Step 1: Start with the original sequence: Q, 2, 3, B, 9, V, 5, L, S, R, F, P.Step 2: Subtract 1 from each number: 2 becomes 1, 3 becomes 2, 9 becomes 8, and 5 becomes 4. Letters remain the same.Step 3: The transformed sequence is: Q, 1, 2, B, 8, V, 4, L, S, R, F, P.Step 4: Now count from the right to find the tenth element from the right. From the right, the elements are: P (1st), F (2nd), R (3rd), S (4th), L (5th), 4 (6th), V (7th), 8 (8th), B (9th), 2 (10th), 1 (11th), Q (12th).Step 5: Hence, the tenth element from the right is the number 2.Step 6: We must now find the fourth element to the right of this reference element 2 in the transformed sequence (counted from the left).Step 7: From the left, the sequence is Q (1), 1 (2), 2 (3), B (4), 8 (5), V (6), 4 (7), L (8), S (9), R (10), F (11), P (12). The element 2 is at position 3.Step 8: Four to the right of position 3 means position 3 + 4 = 7. The seventh element from the left is 4. Verification / Alternative check: You can verify more directly by marking the tenth from right in the list of transformed elements and then shifting four steps right from that position. As there are 12 total elements, the tenth from right is the third from left, which we already identified as 2. Counting four places right from that point clearly takes you to the number 4. Both the index based and direct counting methods agree. Why Other Options Are Wrong: • 8: The number 8 is the fifth element from the left and also the eighth from the right, not the fourth to the right of the tenth from the right. • 2: This is the reference element itself, not the element four positions to its right. • 1: This is the second element from the left and cannot satisfy the given positional condition. • Q: Q is the first element from the left (twelfth from the right) and is far away from the target position. Common Pitfalls: Some candidates forget to apply the subtraction to all digits before starting the positional work, and others miscount from the right side. Another frequent mistake is to misunderstand "fourth to the right of the tenth from the right" and start counting from the left instead of from the located reference element. Careful two phase reasoning avoids these errors. Final Answer: After subtracting 1 from each number and applying the positional instructions, the required element is the number 4.

Question 7

In the group of three-letter English words LAP, BUT, CAR, SON and HID, each word has its first and third letters interchanged (for example, LAP becomes PAL). After this interchange in every word, which of the given words (if any) becomes a meaningfu…

Accepted Answer

Introduction / Context: This problem is a simple test of letter position manipulation and vocabulary. You are asked to swap the first and third letters of each three letter word and then decide which resulting words are still meaningful English words. It checks both your ability to carry out positional changes correctly and your recognition of common short words. Given Data / Assumptions: • The given three letter words are: LAP, BUT, CAR, SON and HID. • For each word, the first and third letters are interchanged while the middle letter remains unchanged. • After this swap, we must see which resulting words are valid English words with standard meanings. Concept / Approach: Because all words are exactly three letters long, interchanging the first and third letters simply reverses the outer letters. So ABC becomes CBA. We can therefore apply this operation to each word and then check whether the new form appears as a common English word in everyday usage. There is no need for complex reasoning; careful transformation and basic vocabulary are sufficient. Step-by-Step Solution: Step 1: Transform LAP. Swapping first and third letters (L and P) gives P A L, that is "PAL". "PAL" is a common English word meaning friend.Step 2: Transform BUT. Swapping B and T gives T U B, that is "TUB". "TUB" is a familiar word that refers to a large container, often for washing or bathing.Step 3: Transform CAR. Swapping C and R gives R A C, which forms "RAC". This is not a standard common English word in this context.Step 4: Transform SON. Swapping S and N gives N O S, that is "NOS", which is not used as a common English word here.Step 5: Transform HID. Swapping H and D gives D I H, that is "DIH", which again is not a recognised English word.Step 6: Hence, only LAP and BUT become meaningful words after this operation, giving PAL and TUB respectively. Verification / Alternative check: You can quickly verify PAL and TUB by recalling their meanings or by mentally placing them in simple sentences such as "He is my pal" and "Fill the tub with water". In contrast, RAC, NOS and DIH do not fit easily into any normal English usage. This confirms our classification of meaningful and non meaningful outputs after the swap. Why Other Options Are Wrong: • HID: After swapping, we get DIH, which is not an English word, so HID alone cannot be the correct answer. • SON: After the swap, SON becomes NOS, which is again not a commonly accepted word. • Both CAR and LAP: CAR becomes RAC (not meaningful), so including CAR in the correct group would be wrong. • None of these: This would imply that no word becomes meaningful after swapping, which is false because PAL and TUB are both valid words. Common Pitfalls: Sometimes students mistakenly change the order of all three letters instead of swapping only the first and third, or they misread the words during transformation. Others may think of abbreviations or specialised terms to justify RAC or NOS, but aptitude questions generally focus on standard vocabulary. Being strict about the swap rule and checking only well known words keeps your reasoning accurate. Final Answer: After interchanging the first and third letters of each word, the words derived from LAP and BUT are meaningful, so the correct choice is Both LAP and BUT.

Question 8

The word "HEARTLESS" can be split into smaller independent English words without changing the order of letters and using each letter only once in the entire split. Into how many such independent meaningful words can "HEARTLESS" be divided?

Accepted Answer

Introduction / Context: This question tests your ability to segment a longer word into a sequence of smaller meaningful English words, without reordering any letters. The base word is "HEARTLESS". You must partition it so that every letter is used exactly once and each segment is itself a valid word. This involves both pattern spotting and vocabulary knowledge. Given Data / Assumptions: • The base word is "HEARTLESS". • We must split this word into several contiguous segments that together use all letters exactly once. • Each segment must be a valid, commonly used English word. • The order of letters inside the base word cannot be changed; we only decide where to place the splits. Concept / Approach: The natural approach is to scan from left to right and see where meaningful segments appear. Because "HEARTLESS" starts with "HEAR" and contains "ART" and "LESS", a good strategy is to experiment with segment points around these obvious portions. We then choose the splitting scheme that uses all letters and yields the maximum number of valid words. Step-by-Step Solution: Step 1: Write the word with positions: H E A R T L E S S.Step 2: Examine the start. The first two letters "HE" form a familiar pronoun and are a complete word by themselves.Step 3: After "HE", the next letters are A R T, which together form "ART", another clear English word.Step 4: The remaining letters are L E S S, which form the word "LESS", again a very common English word meaning a smaller amount.Step 5: Combining these observations, we can split "HEARTLESS" as HE / ART / LESS.Step 6: All letters of the base word are used exactly once, and each segment is a clear, independent English word. Verification / Alternative check: We can check if any other partition yields more than three words. For example, trying "HEAR / T / LESS" is not valid because "T" is not an independent word. "HE / A / RTLESS" or similar splits also fail because "A" is a valid word but "RTLESS" is not, and we must use all letters. Therefore, the best valid segmentation is HE, ART, and LESS, giving exactly three independent words. Why Other Options Are Wrong: • 2: This would require that there are only two segments such as "HEART" and "LESS". Although "HEARTLESS" can be conceptually seen as HEART + LESS, we are asked to count how many words it can be divided into, and HE + ART + LESS shows that three is possible. • 4 or 5: These larger counts would require including non words or one letter segments like "T" that do not qualify as meaningful words here. • 1: This would treat "HEARTLESS" as the only word, which contradicts the existence of valid internal segments such as HE, ART and LESS. Common Pitfalls: Some candidates try to over segment the word into too many pieces, including letters that are not words on their own. Others may miss the internal word "ART" and think only of HEART and LESS as two parts. A systematic scan for common small words, especially at the start and end, usually reveals the most natural partitioning. Final Answer: The word "HEARTLESS" can be divided into 3 independent meaningful words: "HE", "ART" and "LESS".

Question 9

In the sequence C U B A E D E D A B E B A U C D B C A D B D U B C A C B E D A, all the letters A are removed. In the resulting sequence without any A, which letter will be the eleventh letter from the left end?

Accepted Answer

Introduction / Context: This question checks your ability to filter a sequence based on a condition and then perform position counting in the resulting sequence. The original sequence contains many letters, including several As, and you must mentally remove all As and then identify which letter appears at a specified position from the left. Given Data / Assumptions: • Original sequence: C U B A E D E D A B E B A U C D B C A D B D U B C A C B E D A. • Every A in the sequence must be removed completely. • After removing all As, we must find the eleventh letter from the left within the shortened sequence. Concept / Approach: This is a simple filtering followed by indexing problem. The process is to first create a new sequence that contains only the letters that are not A, while preserving their original relative order. Once that is done, we just count the letters from left to right until we reach the eleventh position. Breaking the original series into manageable chunks makes this easier. Step-by-Step Solution: Step 1: Write the original sequence and mark all As for removal: C, U, B, A, E, D, E, D, A, B, E, B, A, U, C, D, B, C, A, D, B, D, U, B, C, A, C, B, E, D, A.Step 2: Remove every A to form the filtered sequence, preserving the order of the other letters.Step 3: The filtered sequence becomes: C, U, B, E, D, E, D, B, E, B, U, C, D, B, C, D, B, D, U, B, C, C, B, E, D.Step 4: Now count the letters from the left in this new sequence. Position wise: 1 C, 2 U, 3 B, 4 E, 5 D, 6 E, 7 D, 8 B, 9 E, 10 B, 11 U.Step 5: The eleventh letter from the left in the filtered sequence is U. Verification / Alternative check: As a check, you can recount the filtered sequence carefully to ensure there are 25 letters and then confirm that the eleventh indeed corresponds to U. Another safe approach is to write the new sequence in a neat row and mark each counted position until you reach the required rank, avoiding any skipping or double counting. Why Other Options Are Wrong: • E: Letters E appear at positions 4, 6 and 9, but not at the eleventh position. • C: C appears at positions 1, 13, 21 and 22 in the filtered series, but none coincide with position 11. • D: D appears at positions 5, 7, 14, 16 and 25 in the new sequence, not at 11. • B: B appears at several positions (3, 8, 10, 15, 17, 20 and 23), but again not at the eleventh place. Common Pitfalls: A common mistake is to miscount while removing As, either skipping a letter or accidentally leaving an A in the new sequence. Another error is counting positions using the original unfiltered sequence instead of the new one. The correct method is to first perform the removal completely, then work only with the cleaned sequence for any positional counting. Final Answer: After removing all As from the given sequence, the eleventh letter from the left in the resulting sequence is U.

Question 10

In the word "DOCUMENTATION", the positions of certain letters are changed as follows: the third and tenth letters are interchanged, the fourth and seventh letters are interchanged, and the second and sixth letters are interchanged. After performing …

Accepted Answer

Introduction / Context: This question on letter arrangement involves specific position based swaps within the longer word "DOCUMENTATION". After making all the given interchanges, you must find the letter that stands at a particular position from the right. Such puzzles check your ability to follow multi step instructions without losing track of intermediate changes. Given Data / Assumptions: • The original word is "DOCUMENTATION". • Swaps to be made are: third with tenth letter, fourth with seventh letter, and second with sixth letter. • After these swaps, we must find the eleventh letter counted from the right in the resulting word. Concept / Approach: Because the swaps involve specific positions, the safest method is to index each letter and perform the swaps in a controlled way. Once the final arrangement is known, we can convert the position from the right to the equivalent position from the left by using the length of the word. Remember that for a word of length n, the kth from the right is the (n - k + 1)th from the left. Step-by-Step Solution: Step 1: Write "DOCUMENTATION" with positions: 1 D, 2 O, 3 C, 4 U, 5 M, 6 E, 7 N, 8 T, 9 A, 10 T, 11 I, 12 O, 13 N.Step 2: Swap the third and tenth letters. Positions 3 and 10 are C and T. After swapping, we have T at position 3 and C at position 10.Step 3: Swap the fourth and seventh letters. Positions 4 and 7 are U and N. After swapping, N goes to position 4 and U goes to position 7.Step 4: Swap the second and sixth letters. Positions 2 and 6 are O and E. After swapping, E goes to position 2 and O goes to position 6.Step 5: Writing the final arrangement after all swaps gives: 1 D, 2 E, 3 T, 4 N, 5 M, 6 O, 7 U, 8 T, 9 A, 10 C, 11 I, 12 O, 13 N. So the new word is "DETNMOUTACION".Step 6: The word has 13 letters. The eleventh letter from the right is the (13 - 11 + 1) = 3rd letter from the left.Step 7: The third letter from the left in the new arrangement is T. Verification / Alternative check: We can verify by listing letters from the right. From the right side, the order is N (1st), O (2nd), I (3rd), C (4th), A (5th), T (6th), U (7th), O (8th), M (9th), N (10th), T (11th), E (12th), D (13th). Clearly, the eleventh letter from the right is T, confirming our earlier calculation. Why Other Options Are Wrong: • U: U is the seventh letter from the right, not the eleventh. • C: C is fourth from the right and tenth from the left, so it does not satisfy the required position. • I: I is the third from the right, not the eleventh. • N: N appears at several positions but none of them correspond to being eleventh from the right. Common Pitfalls: Some candidates accidentally swap letters in the wrong order or overwrite earlier changes while performing later swaps. Others miscalculate the conversion from right side position to left side index. It is important to perform swaps on a fixed list of positions and then separately compute positions from the right after the final arrangement is clear. Final Answer: After applying all the given interchanges in "DOCUMENTATION", the eleventh letter from the right in the resulting word is T.

Question 11

In the word "HORIZON", how many distinct pairs of letters are there such that the number of letters between them in the word is the same as the number of letters between them in the English alphabet?

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Introduction / Context: This type of alphabet test question asks you to compare distances between letters in a word with distances between the same letters in the English alphabet. You must count pairs where the number of letters between them in the word matches the number of letters between them in the standard alphabet sequence from A to Z. Given Data / Assumptions: • The given word is "HORIZON". • We consider ordered pairs of letters taken from positions in the word. • For each pair, we count how many letters lie between them in the word and how many letters lie between their positions in the alphabet. • A pair is counted if these two counts are equal. Concept / Approach: The method is to assign alphabetical positions to each letter (A = 1, B = 2, ..., Z = 26) and also note their positions in the word (1 to 7 for "HORIZON"). For any pair of indices i and j with i < j, the number of letters between them in the word is (j - i - 1). The number of letters between them in the alphabet is the absolute difference of their alphabet positions minus one. We count pairs where these two values match. Step-by-Step Solution: Step 1: Write the word and label positions: 1 H, 2 O, 3 R, 4 I, 5 Z, 6 O, 7 N.Step 2: Record alphabet positions: H = 8, O = 15, R = 18, I = 9, Z = 26, N = 14.Step 3: Check pairs systematically.Example pair 1: (H, N) at positions (1,7): letters between them in the word = 7 - 1 - 1 = 5. Alphabet positions are 8 and 14, so letters between them in the alphabet = |14 - 8| - 1 = 5. This pair matches.Example pair 2: (R, O) at positions (3,6): letters between them in the word = 6 - 3 - 1 = 2. Alphabet positions are 18 and 15, so letters between them in the alphabet = |18 - 15| - 1 = 2. This pair also matches.Example pair 3: (R, N) at positions (3,7): letters between them in the word = 7 - 3 - 1 = 3. Alphabet positions 18 and 14 give |18 - 14| - 1 = 3, another match.Example pair 4: (O, N) at positions (6,7): letters between them in the word = 7 - 6 - 1 = 0. Alphabet positions 15 and 14 give |15 - 14| - 1 = 0, yet another match.Step 4: Therefore, we already have four distinct pairs that satisfy the condition. Verification / Alternative check: You can continue checking other combinations to ensure that there are no additional valid pairs, but even from these four examples it is clear that the number of qualifying pairs is more than three. Since the answer options group all counts above three into a single choice "More than three", we do not need the exact count beyond confirming that there are at least four such pairs. Why Other Options Are Wrong: • One: This would mean only a single pair satisfies the condition, which is contradicted by the four pairs identified above. • Two: The same reasoning shows that two is too small; we have already found more pairs. • Three: Again, this is too low, because four or more examples can be verified. • None: This is clearly incorrect, because even a quick check of (H, N) or (R, O) demonstrates that at least one pair satisfies the distance equality. Common Pitfalls: A common mistake is to forget to subtract one when converting the difference in positions into the number of letters between the pair in either the word or the alphabet. Another is to stop after finding one or two valid pairs and assume that the count is complete. Taking a systematic approach by checking all pairs in an organised way avoids these errors. Final Answer: In the word "HORIZON", the number of pairs of letters that satisfy the equal distance condition is more than three.

Question 12

In the English alphabet written from A to Z, which letter lies exactly in the middle between the 13th letter from the left and the 4th letter from the right?

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Introduction / Context: This question asks you to locate two reference letters in the alphabet based on positional descriptions and then determine which letter lies exactly midway between them. It tests comfort with ordinal positions in the alphabet and simple averaging to find a central position. Given Data / Assumptions: • The alphabet is A, B, C, ..., Y, Z (26 letters). • We need the 13th letter from the left and the 4th letter from the right. • After finding these two letters, we must find the letter that lies in the middle of them in terms of alphabet position. Concept / Approach: The main concepts are position counting and finding a midpoint. The 13th from the left is straightforward. For the 4th from the right, we convert it to a position from the left by using the fact that right position r corresponds to left position 27 - r in a 26 letter alphabet. Once we have the two positions as numbers, their midpoint is simply the average of the two indices. The letter at this average index is the required middle letter. Step-by-Step Solution: Step 1: List positions from left: A (1), B (2), ..., M (13), ..., W (23), X (24), Y (25), Z (26).Step 2: Find the 13th letter from the left. This letter is M.Step 3: Find the 4th letter from the right. The rightmost letter is Z, so 1st from right is Z (26), 2nd from right is Y (25), 3rd from right is X (24) and 4th from right is W (23).Step 4: We now have positions 13 (M) and 23 (W). To find the middle position, compute the average: (13 + 23) / 2 = 36 / 2 = 18.Step 5: The 18th letter from the left in the alphabet is R (A is 1, so R is 18).Step 6: Therefore, R is exactly in the middle between M and W. Verification / Alternative check: You can verify by counting letters between M and W. From M to W, inclusive, the sequence is M (13), N (14), O (15), P (16), Q (17), R (18), S (19), T (20), U (21), V (22), W (23). There are 11 letters in this inclusive range, and the 6th letter in that mini sequence is R. Since it is equidistant from both ends of that sub sequence, it is indeed the middle letter. Why Other Options Are Wrong: • I: I is at position 9 and lies closer to the beginning of the alphabet, far from the midpoint between positions 13 and 23. • J: J is at position 10 and again does not sit halfway between 13 and 23. • S: S is at position 19, one step to the right of R, and would correspond to having unequal distances from M and W. • T: T is at position 20 and lies even further to the right, increasing the imbalance, so it cannot be the exact middle. Common Pitfalls: Students sometimes miscalculate the 4th from the right or forget to convert it to a left position, leading to wrong endpoints. Others take the letter halfway in terms of literal count rather than position, which can create off by one errors. Using numeric positions and averages helps eliminate such confusion. Final Answer: The letter that lies exactly in the middle between the 13th letter from the left and the 4th letter from the right is R.

Question 13

In the sentence "He flew over extensively the pacific last winter", one part contains a grammatical or usage error. Consider the parts as (A) He flew, (B) over extensively, (C) the pacific last winter, and (D) No error. Which part contains the error?

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Introduction / Context: Error spotting questions test your knowledge of English grammar, word order, and correct usage. Here, you are given a sentence split into three parts, and you need to identify the part that contains an error. Recognising natural word order in English and correct placement of adverbs is important to solve this question. Given Data / Assumptions: • The sentence given is: "He flew over extensively the pacific last winter". • It is split as: (A) He flew, (B) over extensively, (C) the pacific last winter, and (D) No error. • We must identify which labelled segment contains the error based on standard written English usage. Concept / Approach: We focus on two main issues: word order, particularly the position of the adverb "extensively", and correct capitalization and prepositional phrase structure. In natural English, adverbs like "extensively" are usually placed immediately before the verb, immediately after the auxiliary verb, or at the end of the clause, but rarely between a preposition ("over") and its object in such a way that it splits the phrase unnaturally. Step-by-Step Solution: Step 1: Look at part (A) "He flew". This is grammatically correct and forms a proper subject verb structure.Step 2: Examine part (B) "over extensively". The preposition "over" generally should attach directly to its object "the Pacific", forming the prepositional phrase "over the Pacific". Placing "extensively" between "over" and its object sounds awkward and unnatural.Step 3: A more natural and correct placement would be "He flew extensively over the Pacific last winter" or "He flew over the Pacific extensively last winter".Step 4: Part (C) "the pacific last winter" has a minor issue of capitalization; the proper noun "Pacific" should be capitalized, but the main structural placement error highlighted in typical exam keys usually lies in the adverb placement in part (B).Step 5: Since the question typically targets the incorrect phrase "over extensively", the incorrect part is (B). Verification / Alternative check: Consider rewriting the sentence in correct English: "He flew extensively over the Pacific last winter." In this corrected sentence, the phrase "extensively over the Pacific" flows smoothly. This confirms that the original placement of "extensively" between "over" and its object was the problem. Thus, the error is in the segment which contained "over extensively". Why Other Options Are Wrong: • A: "He flew" is a correct and complete subject verb combination, so this part has no error. • C: While "pacific" should be capitalized to "Pacific", many exam questions focus on one major highlighted error; the key structural error targeted here is in part (B). In the context of this specific pattern of questions, part (C) is generally treated as acceptable. • D: Marking "No error" would ignore the unnatural splitting of the prepositional phrase and so is incorrect. • None of these: Since part (B) clearly contains a usage error, this option is not valid. Common Pitfalls: Some students might focus only on lexical items and miss out on word order problems. Others may get distracted by the capitalization of "pacific" and mark part (C), but typical exam patterns emphasise the misplacement of adverbs near prepositions in this question. Paying attention to natural sounding phrasing and standard grammatical structures helps in selecting the correct erroneous segment. Final Answer: The incorrect part is the phrase "over extensively", so the error lies in segment B.

Question 14

In the sequence B M N G O P C Q R H S T F L U V W X Y A K Z D I E J, consider the letters at the 3rd and 5th positions from the left and the letter at the 3rd position from the right. Using the 3rd and 5th letters from the left at least twice each a…

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Introduction / Context: This is a slightly more involved word formation puzzle that uses positions of letters within a sequence and a condition on how many times certain letters should be used. You are required to extract three specific letters from a long sequence and check whether, using them with stated frequency constraints, you can form a meaningful English word. Finally, you must give the first letter of that word as the answer. Given Data / Assumptions: • The sequence is: B M N G O P C Q R H S T F L U V W X Y A K Z D I E J (26 items). • We need the 3rd and 5th letters from the left, and the 3rd letter from the right. • The 3rd and 5th letters from the left must each be used at least twice, and the 3rd letter from the right exactly once, to form a meaningful word. • If exactly one such meaningful word exists, we answer with its first letter; if more than one exists, we answer with "M"; if none, we answer with "X". Concept / Approach: First, identify the required letters by positional counting. Next, interpret the condition about usage frequency as describing the multiset of letters that should be used to form the word. Finally, search for a common English word that uses exactly those letters with the specified repetitions. This puzzle is designed so that a very familiar word emerges once the letters are correctly identified. Step-by-Step Solution: Step 1: Count from the left to find the 3rd and 5th letters. The sequence from the left is B (1), M (2), N (3), G (4), O (5), P (6), ... so the 3rd letter is N and the 5th letter is O.Step 2: Count from the right to find the 3rd letter from the right. From the right side the sequence is J (1st from right), E (2nd from right), I (3rd from right), so the 3rd letter from the right is I.Step 3: According to the condition, the 3rd and 5th letters from the left (N and O) must each be used at least twice, and the 3rd from the right (I) exactly once.Step 4: This gives a letter multiset of N, N, O, O and I, which is five letters in total.Step 5: Try to form a meaningful English word from N, N, O, O and I. A very familiar word that uses exactly these letters is "ONION", which is spelled O N I O N.Step 6: "ONION" uses O twice, N twice and I once, perfectly matching the given frequency requirements.Step 7: The first letter of this word "ONION" is O. Verification / Alternative check: We can check whether any other standard English word can be formed from exactly these letters while respecting the specified counts. In practice, "ONION" is the only common word that matches the pattern N, N, O, O, I. Since there is exactly one such standard word, we do not use the special output "M" and instead use the first letter of this unique word. Why Other Options Are Wrong: • M: This option would be chosen only if more than one meaningful word could be formed from the letters, which is not the case here. • X: This would be correct only if no meaningful word could be formed. However, "ONION" is a very familiar word, so this is false. • I: I is one of the letters used inside the word "ONION" but it is not the first letter of the word, so it cannot be the answer. • N: N is used in the word "ONION" but again is not the first letter. Common Pitfalls: Some students misread the frequency condition and either use too many or too few of one of the letters. Others may overlook "ONION" because they do not immediately think of it when looking at the letters N, O and I. A systematic approach of writing all letters clearly, checking counts, and trying well known five letter words that fit the pattern helps avoid such errors. Final Answer: The only meaningful word satisfying the conditions is "ONION", whose first letter is O, so the correct response is O.

Question 15

If the English alphabet is written in reverse order, which letter is seventh to the left of the second vowel from the right end in the new alphabet series?

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Introduction / Context: This question tests your understanding of alphabetical order when the usual A to Z sequence is reversed. Many competitive exams include such letter ranking problems to check speed and accuracy with simple but layered reasoning. By carefully tracking positions from both ends of the alphabet, you can avoid common traps and arrive at the correct letter. This type of pattern based aptitude question also helps you become more comfortable with visualising sequences mentally. Given Data / Assumptions: We use the standard English alphabet with 26 letters. We are told to reverse the entire alphabet, so Z becomes the first letter and A becomes the last letter in the new series. We then need to identify the second vowel from the right end of this reversed series. After that, we must move seven positions to the left of that identified vowel in the same reversed sequence. No letters are skipped or removed in this process. Concept / Approach: First write or mentally picture the reversed alphabet sequence from Z on the left to A on the right. Next identify which vowels appear in this reversed order and focus especially on the rightmost end where the question directs our attention. Once we know which letter is the second vowel from the right, we can find its exact position number in the reversed series. Finally, moving seven steps to the left simply means subtracting seven from that position number and reading off the corresponding letter. Step-by-Step Solution: Write the reversed alphabet: Z Y X W V U T S R Q P O N M L K J I H G F E D C B A. From the right end we see vowels in the order A, then E, then I, then O, then U as we move leftwards. The first vowel from the right is A, and the second vowel from the right is E. In the reversed series, E occupies position 22 from the left (Z is 1, Y is 2, and so on up to A at 26). To find the letter seven places to the left of E, move from position 22 back by 7 positions: 22 - 7 = 15. The 15th letter in the reversed alphabet is L (Z1, Y2, X3, W4, V5, U6, T7, S8, R9, Q10, P11, O12, N13, M14, L15). Therefore the required letter is L. Verification / Alternative check: A quick check is to mark only vowel positions in the reversed sequence and confirm that A and E are indeed the two rightmost vowels. Then count directly on your fingers or by small ticks from Z to make sure that E is at position 22. Subtracting seven again gives 15, which is clearly L when you list the reversed letters carefully. Doing this second pass helps to avoid miscounting in the middle of the sequence. This verification builds confidence that no step in the reasoning chain has been skipped. Why Other Options Are Wrong: U and V are much earlier in the reversed sequence and do not sit exactly seven positions to the left of E. M is the 14th letter in the reversed order, which is only six positions to the left of E, not seven. E itself is the reference vowel and therefore cannot be the required answer. Each distractor is close in position to increase the chance of a counting error, but only L satisfies the precise condition given in the question. Common Pitfalls: A common mistake is to count vowels from the normal A to Z order instead of from the reversed series specified in the problem. Another error is to confuse left and right once the alphabet is reversed, leading to counting in the wrong direction. Many students also miscount positions because they rush and skip letters while moving seven places to the left. Writing at least the crucial part of the sequence on paper is often safer than relying entirely on mental calculation. Paying attention to the phrase second vowel from the right is essential to avoid picking the first vowel instead. Final Answer: The letter that is seventh to the left of the second vowel from the right end in the reversed alphabet is L.

Question 16

When the words Savage, Savour, Save and Saviour are arranged alphabetically as in an English dictionary, which word will appear in the second position?

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Introduction / Context: This problem checks your understanding of dictionary or alphabetical order for words that share a common starting pattern. Such questions are common in verbal reasoning sections to ensure that you can compare words letter by letter. The subtle differences after the shared prefix make the ranking non obvious at first glance. Practising this type of question improves your speed in arranging names or terms in systematic order for exams and day to day tasks. Given Data / Assumptions: We are given four English words: Savage, Savour, Save and Saviour. We must imagine arranging these words in strict dictionary order as used in an English dictionary. The question specifically asks for the word that will come in the second position after sorting. We assume standard English spelling and that all words are considered in lowercase for ordering, even though they are written with an initial capital letter here. Concept / Approach: Dictionary order is determined by comparing words letter by letter from left to right. Whenever letters match, we move to the next letter, and the first place where letters differ decides which word comes earlier. Shorter words can come earlier if one word is a prefix of another, provided all earlier letters are identical. We therefore expand each word mentally as a sequence of characters and compare them systematically instead of relying on intuition. Step-by-Step Solution: All four words start with the same three letters: S A V. Compare the fourth letter of each word: Savage has A, Save has E, Saviour has I, Savour has O. In the alphabet the order of these letters is A, then E, then I, then O. So the dictionary order of the full words becomes: Savage (A), Save (E), Saviour (I) and Savour (O). From this ordered list, Savage is first, Save is second, Saviour is third and Savour is fourth. The question asks for the word in the second position, which is Save. Verification / Alternative check: As a quick check, you can imagine writing the four words one below the other and underlining the first differing letter. Once you see A, E, I and O aligned in a column, it is easy to confirm that A is smallest and O is largest in alphabetical order. Another practical method is to pretend you are scanning down dictionary pages and ask which word you would encounter first, second, third and fourth. Both checks should give the sequence Savage, Save, Saviour, Savour, confirming that Save is indeed second. Any different order would contradict the standard alphabet sequence. Why Other Options Are Wrong: Savage clearly comes first because its fourth letter A is alphabetically before E, I and O. Saviour and Savour come later since I and O appear after E in the alphabet, so they cannot occupy the second position. The option None of these is not correct because one of the listed words, namely Save, clearly fits the required second place. Each distractor is a valid English word but does not satisfy the specific positional requirement given in the question. Common Pitfalls: A frequent mistake is to look only at word length or meaning, assuming that shorter or more familiar words come earlier in a dictionary. Another pitfall is to stop comparing after the common prefix SAV and to guess randomly among the remaining words. Some learners mix up the order of vowels A, E, I, O, U when they appear in the same position, which changes the final ranking. Taking a moment to write A E I O in order prevents this confusion. Always compare words letter by letter until you reach the first point of difference, and only then decide the order. Final Answer: When arranged alphabetically like in a dictionary, the word in the second position is Save.

Question 17

Which of the following best describes a tract of land that is used primarily for raising crops or livestock?

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Introduction / Context: This question belongs to the vocabulary and one word substitute category within aptitude and verbal reasoning. It asks you to identify the most accurate English term for a specific description of land use. Knowing precise meanings of such everyday words is very useful for competitive exams as well as for reading newspapers and reports. Here, the nuance between similar sounding words like field and farm becomes important for choosing the single best answer. Given Data / Assumptions: We are told about a tract of land that is used for raising crops or livestock. The options include a field, a farm, both a field and a farm, none of the above and a ranch. The question expects a standard dictionary style meaning rather than a casual or regional usage. We assume ordinary modern English usage where these terms have fairly well established definitions. Our task is to match the description to the closest and most complete term. Concept / Approach: A key concept here is the difference between a particular plot of land and an entire agricultural establishment. The word field usually refers to an open piece of land, often used for growing a single crop or for sports and other activities. A farm, on the other hand, is an agricultural unit where crops are grown and or animals are raised for food or other products. A ranch is more specialised for raising grazing animals, especially cattle and horses, and is not primarily associated with crop cultivation. We need the option that covers both crops and livestock in one standard definition. Step-by-Step Solution: Read the description carefully: it clearly mentions raising crops or livestock on a tract of land. Recall that a farm is commonly defined as an area of land and its buildings used for growing crops and rearing animals. A field is only a specific open area, often used for crops, sports or pasture, but not the entire agricultural establishment. A ranch focuses mainly on large scale grazing animals and is less commonly used for mixed crop and livestock operations in standard definitions. Among the given options, farm is the single term that naturally includes both crop cultivation and livestock rearing on a tract of land. Therefore, the most precise choice is farm. Verification / Alternative check: You can cross check by thinking about typical phrases such as farm house, farm animals and dairy farm, all of which clearly involve animals and crops. In contrast, the phrase football field or corn field shows that field can be used in many contexts and usually refers only to the physical area where something is done. A ranch is strongly associated with cattle and horse rearing, especially in American English, and is not the default term when crops are also included. This conceptual check confirms that farm best matches the provided description. No other option fully captures both crops and livestock in one standard word. Why Other Options Are Wrong: A field may be used for crops or grazing but does not itself refer to the complete agricultural operation with buildings, equipment and multiple activities. The option Both a field and a farm is misleading because the question asks for a single one word substitute, not a combination. None of the above is incorrect because farm clearly fits the description. A ranch is primarily for ranching livestock over large open areas and does not inherently include crop growing facilities. As a result, farm remains the only fully appropriate term here. Common Pitfalls: Many learners quickly pick field because they often hear about crop fields in daily life. Some may also be tempted by the both option, thinking that fields exist inside farms, so both must be right. However the exam expects the most precise one word answer that directly matches the given definition. Another error is to treat ranch as a generic word for any land with animals, ignoring the fact that the description also mentions crops. To avoid such mistakes, always focus on the exact wording of the description and compare it with standard dictionary style meanings of each option. Final Answer: The most appropriate word for a tract of land used for raising crops or livestock is farm.

Question 18

Using each letter only once, how many meaningful English words can be formed from the letters E, O, P and R?

Accepted Answer

Introduction / Context: This question checks your vocabulary and ability to mentally permute letters to form real English words. Such problems are a mix of verbal skill and simple combinatorics, often appearing in banking and aptitude exams. You are required not just to count letter arrangements but to filter them for meaningful words. This encourages you to recall common words and recognise familiar patterns quickly under time pressure. Given Data / Assumptions: We are given four letters: E, O, P and R. Each letter must be used exactly once in forming a word. We must find all different meaningful English words that can be formed using these four letters. The options suggest that there might be zero, one, two, three or more than three such words. We assume standard everyday English vocabulary that a typical exam taker would know, not obscure abbreviations or technical codes. Concept / Approach: First mentally list or imagine all possible four letter permutations of the given letters. Then, from that set of permutations, identify which ones correspond to commonly accepted English words. Standard words should appear in dictionaries and in normal usage. We ignore rare acronyms or very technical terms that are unlikely to be expected in a general aptitude exam. The key is to systematically visualise typical word patterns like consonant vowel consonant vowel and related structures. Step-by-Step Solution: Start by trying to put a consonant at the beginning to see if any familiar word emerges. Using R first, one arrangement is R O P E which spells ROPE, a very common English noun. Using P first, one arrangement is P O R E which spells PORE, another common English word meaning a tiny opening. Other permutations like O P E R, E P O R, O R E P, and so on do not form standard everyday words. Some sequences may look like abbreviations or rare terms, but they are not expected answers in a general reasoning test. Thus the two clearly meaningful words are ROPE and PORE. Verification / Alternative check: To double check, you can systematically count all 4 factorial permutations of the letters, which gives 24 possible sequences. Then you quickly scan each arrangement to see whether it looks like a valid English word. In practice, only ROPE and PORE stand out as very common dictionary words. You might recognise REPO as a short form for repurchase agreement, but that is an abbreviation rather than a standard word expected here. Since no other arrangement clearly qualifies as a normal English word, it is safe to confirm that there are exactly two words. This matches what we already reasoned informally. Why Other Options Are Wrong: None and One are wrong because we have explicitly identified at least two valid words, ROPE and PORE. Three and More than three are incorrect because, after checking all permutations, no additional everyday words appear beyond those two. The exam is not expecting arcane abbreviations or slang terms. Therefore any option suggesting fewer than two or more than two meaningful words does not match the actual possibilities. Only the count of two fits the logic of the problem. Common Pitfalls: One pitfall is to stop after spotting only ROPE and assume that there is only one word, without searching further. Another mistake is to count non standard combinations as words simply because they resemble abbreviations seen in news or finance. Some students also ignore vowel placement rules and waste time on patterns that seldom form real English words. To avoid these issues, always take a systematic approach: try different starting consonants, look for familiar word endings like E or ER, and cross check quickly. With practice your mind will automatically recognise valid words among scrambled letters. Final Answer: Exactly two meaningful English words, ROPE and PORE, can be formed using the letters E, O, P and R, so the correct count is Two.

Question 19

In the word CREATIVE, how many pairs of letters have as many letters between them in the word as they have between them in the English alphabet sequence?

Accepted Answer

Introduction / Context: This is a classic letter pair counting question that appears frequently in reasoning and banking exams. It tests your ability to track relative positions of letters within a word and compare them with positions in the alphabet. You need to be precise while counting the number of letters between two given letters in both the word and the alphabet. Careful systematic checking helps you avoid missing valid pairs or counting invalid ones. Given Data / Assumptions: The given word is CREATIVE. We need to consider all possible pairs of letters taken in the order they appear from left to right. For each pair, we count the letters between them in the word and the number of letters between those same letters in the standard A to Z alphabet. A pair is considered valid if these two counts are equal. The question finally asks for the total number of such valid pairs present in the word CREATIVE. Concept / Approach: Assign each letter in the alphabet a numeric position from 1 to 26. For any two letters, the number of letters between them in the alphabet is the absolute difference of their positions minus one. Within the word, the number of letters between two positions is the index difference minus one. We must check every pair in the word and see where these two counts match. Doing this systematically ensures that no valid pair is overlooked. Step-by-Step Solution: Write CREATIVE with positions: C(1), R(2), E(3), A(4), T(5), I(6), V(7), E(8). First consider C and E: in the word they are at positions 1 and 3, so there is 1 letter between them (R). In the alphabet, C and E also have one letter between them (D). So C E is a valid pair. Next consider A and E at positions 4 and 8: there are 3 letters between them in the word (T, I, V). In the alphabet between A and E we have B, C and D, also 3 letters. So A E is a second valid pair. Now look at T and V at positions 5 and 7: between them in the word is one letter (I). In the alphabet between T and V there is U, which is exactly one letter. So T V is a third valid pair. Checking all other possible pairs in the word shows that no further pair has matching counts. Verification / Alternative check: A quick verification method is to list all pairs explicitly and jot down two numbers next to each: the gap in the word and the gap in the alphabet. When you do this for CREATIVE, only the three pairs C E, A E and T V show equal gaps. Another cross check is to focus on visually promising pairs, such as those whose letters are alphabetically close or obviously far apart, and calculate their differences carefully. Both approaches converge to the same conclusion that exactly three pairs meet the condition. This confirms the total without relying on guesswork. Why Other Options Are Wrong: Option 1 and Option 2 underestimate the count because they ignore at least one of the valid pairs. Option 4 and More than four overestimate the count and include pairs where the word gap and alphabet gap do not match. For example, C and R are adjacent in the word but are far apart in the alphabet, so they do not qualify. Only the three identified pairs satisfy the precise numerical condition, making 3 the only correct total. All other option values conflict with the detailed pair by pair analysis. Common Pitfalls: A frequent mistake is to count only from left to right and forget that any pair of letters within the word must be checked, not just neighbouring ones. Another error is miscounting the number of letters between two positions in the alphabet, especially when the letters are near the start or end. Some students also confuse the requirement and compare the raw alphabet positions instead of comparing gaps. To avoid these errors, work methodically, maybe using a small table where you record each pair and its two gap counts. This disciplined approach greatly reduces the chance of missing or inventing pairs. Final Answer: There are exactly 3 pairs of letters in CREATIVE that have the same number of letters between them in the word and in the alphabet sequence.

Question 20

In the letter series L J H J P D P ? E, which letter should replace the question mark so that the series follows a consistent pattern?

Accepted Answer

Introduction / Context: This problem is a letter series question where you must identify the pattern connecting successive groups of letters. Such series often hide numeric relationships based on alphabetical positions rather than obvious repetition. The goal is to find a consistent rule that applies throughout the sequence and then use that rule to determine the missing term. Developing a habit of translating letters to numbers and looking for patterns greatly helps with this type of reasoning item. Given Data / Assumptions: The given series is L, J, H, J, P, D, P, ?, E. We are asked to find which letter should replace the question mark. The options given are K, L, P, I and M. We assume that there is a single consistent pattern governing all the letters and that only one option fits this pattern correctly. The pattern may involve groupings within the series rather than simple left to right differences. Concept / Approach: A powerful approach is to group the series into equal sized blocks and then look for numeric relationships within each block. Here, grouping the nine letters into three blocks of three gives us L J H, J P D and P ? E. After converting each letter to its position in the alphabet and examining the sums or differences inside each block, a clear pattern can emerge. If we find that two blocks obey a particular rule, we can impose the same rule on the third block to solve for the unknown letter. Step-by-Step Solution: Write the series as three groups of three: (L, J, H), (J, P, D) and (P, ?, E). Convert each letter to its alphabetical position: L = 12, J = 10, H = 8, P = 16, D = 4 and E = 5. Compute the sum of the positions in each known group: L + J + H = 12 + 10 + 8 = 30, and J + P + D = 10 + 16 + 4 = 30. This shows that each complete group of three letters has a total value of 30 in terms of alphabetical positions. For the third group P, ?, E we must therefore have 16 + (position of ?) + 5 = 30. So the missing position is 30 - 21 = 9, which corresponds to the letter I, since I is the ninth letter of the alphabet. Verification / Alternative check: To verify, check that with I as the missing letter, all three groups follow the same total sum rule. The third group P I E gives 16 + 9 + 5 = 30, matching the totals of the first two groups. Now test each of the other option letters in place of the question mark and recompute the sum. Using K (11), L (12), P (16) or M (13) would give sums of 32, 33, 37 or 34 respectively, which break the pattern. Therefore, only I preserves a consistent group total of 30. This confirms that the reasoning is correct and I is uniquely determined. Why Other Options Are Wrong: If K were used, the third group would sum to 32, not matching the required 30. With L the sum becomes 33, while P leads to 37 and M gives 34, all inconsistent with the first two groups. There is no alternate simple pattern that fits all nine letters while using any of these alternatives. Since the series is expected to have one clean numeric rule, any option breaking the total sum of 30 for each group must be rejected. This leaves I as the only viable choice. Common Pitfalls: One common mistake is to look only at consecutive differences between neighbouring letters, which appear irregular and confusing in this series. Another pitfall is to assume repetition based patterns without testing them numerically, leading to random guesses. Students sometimes forget to consider grouping as a strategy, even when the total number of terms divides neatly into equal blocks. To avoid these issues, always try converting letters into numbers and experiment with sums or symmetric patterns. When multiple groups show identical sums, products or differences, that is often the key to unlocking the missing term. Final Answer: The letter that fits the pattern in the series L J H J P D P ? E is I.

Alphabet Test Questions