Question 1

In this letter analogy question, CGK is related to DHL, so you must select the set of letters that stands in the same relation to UYC from the given alternatives.

Accepted Answer

Introduction / Context: This is a straightforward letter analogy that involves shifting each letter in the alphabet by a fixed number of positions. The given pair "CGK : DHL" shows how each letter of the first group is transformed to obtain the second group. Your task is to identify and apply the same transformation to the letters UYC and select the correct result from the options. Given Data / Assumptions: - First pair: CGK becomes DHL. - Second pair to complete: UYC becomes ?. - Alphabet positions: A = 1, B = 2, ..., Z = 26. - Options: VZD, WZD, WZA, VAE and UXF. - The transformation must be uniform for all three letters in each group. Concept / Approach: We convert each letter in CGK and DHL into its alphabetical position and find the shift. If the shift is the same for C to D, G to H and K to L, then we can apply the same fixed increment to U, Y and C. The result must correspond exactly to one of the given options. Step-by-Step Solution: Step 1: Determine positions for CGK. C is 3, G is 7 and K is 11. Step 2: Determine positions for DHL. D is 4, H is 8 and L is 12. Step 3: Compute shifts: C (3) to D (4) is +1, G (7) to H (8) is +1, and K (11) to L (12) is also +1. Step 4: Conclude that each letter in the first group is shifted one step forward in the alphabet to form the second group. Step 5: Apply the same +1 rule to UYC. U is 21, Y is 25 and C is 3. Step 6: U (21) shifted by +1 becomes 22, which is V. Y (25) shifted by +1 becomes 26, which is Z. C (3) shifted by +1 becomes 4, which is D. Step 7: Therefore, UYC becomes VZD after applying the same transformation. Verification / Alternative check: To verify, compare VZD with the options. Option A is VZD, which matches our computed letters exactly. The other options differ in at least one letter. Because the shift is consistently +1 for all letters in CGK to DHL, any valid answer must involve a uniform +1 shift from UYC. Only VZD satisfies that requirement, confirming that it is the correct answer. Why Other Options Are Wrong: WZD would require a +2 shift for U to become W, but the original example used only a +1 shift, so this is inconsistent. WZA changes different letters by different amounts and does not preserve the uniform +1 pattern. VAE introduces letters that cannot be obtained by a simple +1 shift from UYC. UXF keeps U the same and alters Y and C by different steps, breaking the consistent shift rule. Common Pitfalls: A common mistake is to only check the first or second letter and ignore whether the same rule applies to all letters in the group. Another pitfall is forgetting the alphabet order near the end (especially around Y and Z), which can cause errors when shifting letters close to Z. Always verify each letter transformation and ensure the shift is uniform. Final Answer: Using a consistent +1 shift for all letters, UYC is transformed into VZD.

Question 2

In this letter analogy question, BCD is related to DEG, so you must select the set of letters that stands in the same relation to FIJ from the given alternatives.

Accepted Answer

Introduction / Context: This is a three-letter analogy that requires careful observation of how each letter in one group is transformed to produce the corresponding letter in the next group. The pair "BCD : DEG" suggests a pattern of forward shifts in the alphabet, but not all shifts are identical. Your task is to detect the structure of these shifts and then apply a similar pattern to "FIJ" to find the correct related group from the options. Given Data / Assumptions: - First pair: BCD becomes DEG. - Second pair to complete: FIJ becomes ?. - Alphabet positions: A = 1, B = 2, ..., Z = 26. - Options: HKN, JLN, FGH, KLN and HKM. - The pattern relies on differences in positions of corresponding letters. Concept / Approach: The method is to convert letters into their numeric positions and examine the increments for each position from the first group to the second group. In "BCD : DEG", the shifts are not all equal, but they follow a particular numeric pattern. We then compute the shifts from FIJ to each option and look for the one that reflects a similar structure of increasing steps, especially in terms of relative differences between smallest and largest shifts. Step-by-Step Solution: Step 1: Convert BCD to numbers. B = 2, C = 3 and D = 4. Step 2: Convert DEG to numbers. D = 4, E = 5 and G = 7. Step 3: Calculate the shifts: 2 to 4 is +2, 3 to 5 is +2 and 4 to 7 is +3. So the shifts are +2, +2 and +3. The smallest shift is 2 and the largest is 3, with a difference of just 1 between them. Step 4: Now convert FIJ to numbers. F = 6, I = 9 and J = 10. Step 5: For each option, compute the shifts from FIJ to that option and check whether the pattern of shifts resembles the structure seen in BCD to DEG, where the largest and smallest shifts differ by exactly 1. Step 6: For JLN, J = 10, L = 12 and N = 14. The shifts are 6 to 10 (+4), 9 to 12 (+3) and 10 to 14 (+4). Here the smallest shift is 3 and the largest is 4, again differing by exactly 1. Step 7: Other options either have larger gaps between their smallest and largest shifts or use unequal and inconsistent steps, so they do not mirror the pattern of small, closely spaced increments found in BCD to DEG. Verification / Alternative check: We can verify by explicitly checking other options. For HKN, the shifts from FIJ would be +2, +2 and +4, which gives a difference of 2 between smallest and largest shift. For FGH, the shifts include zero or negative movements. For KLN, the shifts are +5, +3 and +4, giving a range of 2. Only JLN has shifts of +4, +3 and +4, where the difference between the largest and smallest shift is 1, paralleling the pattern +2, +2 and +3 seen in the original pair. This structural similarity confirms that JLN is the correct completion. Why Other Options Are Wrong: HKN has shifts that jump from +2 to +4, giving a wider spread than in the original example and breaking the delicate pattern of near-equal increments. FGH does not represent a consistent forward movement from FIJ and introduces smaller or negative changes, unlike the strictly forward shifts in BCD to DEG. KLN uses shifts that vary too widely (+5, +3, +4) and does not match the small range of step sizes seen in the original pair. HKM, though not one of the original options, similarly would not preserve the compact incremental structure if considered. Common Pitfalls: Many students try to find a single fixed shift for all letters, which does not exist in this question. Others may focus only on approximate numerical similarities without checking relative differences between the smallest and largest shifts. In multi-letter analogies, it is important to pay attention not only to the absolute values of the shifts but also to the overall pattern formed by those shifts. Final Answer: The letter group that most closely mirrors the pattern of shifts in the original pair is JLN.

Question 3

In this numerical analogy question, 56 is related to 72, so you must select the number that stands in the same relation to 90 from the given alternatives.

Accepted Answer

Introduction / Context: This is a numerical analogy where the relationship between the first pair of numbers needs to be understood and then applied to the second number to find the correct partner. The pair "56 : 72" suggests a pattern involving products of consecutive integers. Once that pattern is uncovered, it can be applied to 90 to obtain the required number. Given Data / Assumptions: - First pair: 56 and 72. - Second pair to complete: 90 and ?. - Options: 96, 97, 100, 110 and 120. - We assume standard arithmetic operations and knowledge of basic multiplication tables. Concept / Approach: We look for a factorisation pattern in 56 and 72. Notice that 56 can be written as 7 * 8, the product of two consecutive integers. Similarly, 72 is 8 * 9, again the product of two consecutive integers, with 8 being the common factor. Thus, the transformation from 56 to 72 can be seen as shifting from 7 * 8 to 8 * 9. We will check if 90 can also be expressed as a product of consecutive integers and then advance that pattern by one step. Step-by-Step Solution: Step 1: Factorise 56. 56 = 7 * 8, where 7 and 8 are consecutive integers. Step 2: Factorise 72. 72 = 8 * 9, where 8 and 9 are consecutive integers. Step 3: Observe the pattern: the first number is n * (n + 1) with n = 7, and the second number is (n + 1) * (n + 2) with n = 7, so we move from 7 * 8 to 8 * 9. Step 4: Factorise 90. 90 = 9 * 10, again the product of two consecutive integers. Step 5: Apply the same pattern by increasing the factors by 1. After 9 * 10, the next consecutive product is 10 * 11. Step 6: Compute 10 * 11. The result is 110. Step 7: Therefore, 90 is related to 110 in the same way 56 is related to 72. Verification / Alternative check: We can verify by thinking of the sequence of such products: 7 * 8 = 56, 8 * 9 = 72, 9 * 10 = 90, 10 * 11 = 110. Clearly, the numbers 56, 72, 90 and 110 form a simple pattern where each is the product of two successive integers, and the second element in each pair uses the next consecutive product. None of the other options (96, 97, 100 or 120) can be expressed as the immediate next product of consecutive integers following 9 * 10. Why Other Options Are Wrong: 96 is 12 * 8 or 16 * 6, but neither factor pair is a pair of consecutive integers directly following 9 and 10. 97 is a prime number and cannot be expressed as a product of two natural numbers greater than 1, so it clearly breaks the pattern. 100 is 10 * 10, which uses equal factors, not consecutive integers like 9 and 10 or 10 and 11. 120, although equal to 10 * 12, has factors that differ by 2, so it does not fit the simple consecutive product rule. Common Pitfalls: Some candidates attempt to find patterns in differences or ratios, such as adding a fixed number or multiplying by a constant, but those do not work neatly here. Others may notice that 72 is 56 plus 16 and then try to add the same difference to 90, which yields 106, not an option. The clean factor pattern is much more consistent and leads directly to the correct answer. Final Answer: Following the product-of-consecutive-integers pattern, 90 is correctly paired with 110.

Question 4

In this analogy question about animals and their homes, Lion is related to Den, so you must select the pair that stands in the same relation from the given alternatives.

Accepted Answer

Introduction / Context: This question checks your basic general knowledge of animals and the places where they live or are kept. The pair "Lion : Den" associates an animal with its natural home or dwelling. You must choose the option where the same kind of relationship exists between the animal and its place of residence. Given Data / Assumptions: - A lion usually lives in a den in the wild. - A horse is often kept in a stable. - A cow eats grass; it is a type of food, not its home. - A rabbit eats carrots; again, this is food, not the dwelling place. - A dog eats bones; these are also food items. - The options: Horse : Stable, Cow : Grass, Lion : Carnivorous, Rabbit : Carrot and Dog : Bone. Concept / Approach: The relationship in the first pair can be summarised as "animal : typical home". We must find another pair where the second word denotes the place where the animal lives or is kept. Any option that merely expresses diet or type of organism will not parallel the original relationship, because "den" is not the food of the lion, but its dwelling place. Step-by-Step Solution: Step 1: Interpret "Lion : Den". The den is the resting and living place of a lion. Step 2: Examine "Horse : Stable". A stable is the place where horses are kept and taken care of, so this pair is animal to home. Step 3: Examine "Cow : Grass". Grass is food for cows, not a dwelling place, so this is animal to food. Step 4: Examine "Lion : Carnivorous". Carnivorous describes the diet type; this is animal to its nature or diet, not home. Step 5: Examine "Rabbit : Carrot" and "Dog : Bone". Both carrots and bones are foods, not homes. Step 6: Only "Horse : Stable" matches the animal to home relationship seen in the original pair. Verification / Alternative check: We can verify by forming natural language sentences. "A lion lives in a den" is equivalent in structure to "A horse lives in a stable". Sentences such as "A cow lives in grass" or "A rabbit lives in carrot" make no sense, confirming that those options represent food, not habitats. Similarly, "A lion is carnivorous" describes diet type, which is a different kind of relationship from the one in the original pair. Why Other Options Are Wrong: Cow : Grass expresses an animal and its food, not its dwelling place, so it does not match the lion and den relationship. Lion : Carnivorous links an animal to its dietary habit, not to a physical location where it lives. Rabbit : Carrot and Dog : Bone both relate animals to things they eat and therefore cannot be considered analogues of the animal-home relationship. Common Pitfalls: Some candidates may focus only on the idea of association without noting whether the association type is the same. Every option involves an animal, but the relationship category differs: home versus food versus nature. Analogy questions require you to match the precise type of linkage, not just any connection between the two words. Final Answer: The pair that correctly mirrors "Lion : Den" is Horse : Stable.

Question 5

In this analogy question about authors and their works, The Time Machine is related to H. G. Wells, so you must select the author who stands in the same relation to Julius Caesar from the given alternatives.

Accepted Answer

Introduction / Context: This question examines your awareness of English literature and famous authors. The pair "The Time Machine : H. G. Wells" links a well known novel to its author. You must identify the author who stands in the same relationship to "Julius Caesar", which in this context refers to a famous play typically studied in English literature courses. Given Data / Assumptions: - "The Time Machine" is a science fiction novel written by H. G. Wells. - "Julius Caesar" is a well known historical play in the English literary canon. - Options: Rabindranath Tagore, William Shakespeare, Charles Dickens and Leo Tolstoy and George Orwell. - We assume we are matching each literary work with its correct original author. Concept / Approach: The relationship in the first pair is "book or literary work : its author". Using this pattern, we must determine who wrote the play "Julius Caesar". Although Julius Caesar was a real Roman leader, in the context of English literature the title refers to a play written by William Shakespeare. Therefore, we focus on Shakespeare among the options and confirm that none of the other authors fit this work. Step-by-Step Solution: Step 1: Recognise that "The Time Machine" is a novel by H. G. Wells, giving the relationship of work to author. Step 2: Identify "Julius Caesar" as the title of a tragedy that belongs to the body of plays written by William Shakespeare. Step 3: Cross-check the options. Rabindranath Tagore is known for works like "Gitanjali". Charles Dickens wrote novels such as "Oliver Twist" and "David Copperfield". Leo Tolstoy wrote "War and Peace" and "Anna Karenina". George Orwell wrote works like "1984" and "Animal Farm". Step 4: None of these authors is associated with a play titled "Julius Caesar" except William Shakespeare, whose authorship is widely accepted and taught. Step 5: Therefore, the correct pair is "Julius Caesar : William Shakespeare". Verification / Alternative check: We can verify from general knowledge of English drama that "Julius Caesar" is one of Shakespeare's Roman plays, along with works such as "Antony and Cleopatra" and "Coriolanus". In contrast, the other authors are associated with different languages, genres or periods. For instance, Tagore wrote largely in Bengali, Dickens was a Victorian novelist, Tolstoy was a Russian novelist and Orwell wrote political allegories and dystopian fiction. This confirms that only Shakespeare fits the pattern. Why Other Options Are Wrong: Rabindranath Tagore did not write the play "Julius Caesar"; his major works belong to Indian and Bengali literature. Charles Dickens focused on novels set in Victorian England, not on historical plays about ancient Rome. Leo Tolstoy was a Russian writer best known for long novels and philosophical works, not Shakespearean drama. George Orwell is famous for modern political and social commentary, with no connection to the play "Julius Caesar". Common Pitfalls: Sometimes, candidates confuse the historical figure Julius Caesar with the author, but the question clearly uses the pattern work to author, as shown in the first pair. Another pitfall is guessing an author based merely on fame rather than verifying which specific works they wrote. In high level exams, accurate pairing of authors and their major works is a common and important theme. Final Answer: The author that correctly completes the analogy is William Shakespeare, giving the pair "Julius Caesar : William Shakespeare".

Question 6

In the following letter analogy question, LK is related to OP in a particular way. Using the same pattern, which pair of letters should complete the analogy LK : OP :: ? : UV?

Accepted Answer

Introduction / Context: This question is a letter based analogy where we must discover the alphabetic pattern that links one pair of letters to another. Once we understand how LK is related to OP, we apply the same rule to find the pair that will be related to UV in an identical way. Letter analogy questions like this test understanding of letter positions and consistent shifts in the English alphabet. Given Data / Assumptions: We are given the pair LK : OP. We must choose a pair ? so that LK : OP :: ? : UV. All letters are capital English letters from A to Z. The same relationship must hold between both pairs. Concept / Approach: A reliable method is to convert letters to their numerical positions in the alphabet. Then we look for how many steps forward we move from the first letter pair to the second. When we identify a simple, consistent shift, we use that shift again to construct the missing pair that will correspond to UV. The aim is to find a rule that works neatly and symmetrically for both pairs. Step-by-Step Solution: Step 1: Write down positions for L and K. L is the 12th letter, K is the 11th letter. Step 2: Write down positions for O and P. O is the 15th letter, P is the 16th letter. Step 3: Observe the shifts. L (12) to O (15) is a shift of +3. K (11) to P (16) is a shift of +5. The key idea is that the two letters of the first pair are consecutive in reverse order (L, K), while the two letters of the second pair are consecutive in normal order (O, P) and are three positions ahead in the alphabet. Step 4: Now focus on the second pair involving UV. U and V are consecutive letters in the normal forward order, just like O and P. To match the pattern, the unknown pair should also be two consecutive letters that appear three positions before U and V. Step 5: Move three steps back from U and V. U is the 21st letter. Three positions back gives 18, which is R. V is the 22nd letter. Three positions back gives 19, which is S. Therefore the required pair is RS. Verification / Alternative check: If we now check RS and UV: R and S are consecutive letters, just like L and K, and U and V are also consecutive letters, just like O and P. Additionally, U and V are exactly three positions after R and S in the alphabet, which mirrors the three step forward shift seen from L to O. This shows that the structure of the relation is consistent across both pairs, so RS is the only pair that satisfies the requirement. Why Other Options Are Wrong: KL are consecutive letters, but if we move three positions forward from K and L, we do not arrive at U and V. QR are consecutive, but three positions ahead of Q and R are T and U, not U and V. WX are consecutive letters located after U and V, so they cannot generate UV by shifting forward. PQ are consecutive letters, but three positions ahead of P and Q are S and T, which again does not match UV. Common Pitfalls: Many learners only check whether both pairs contain consecutive letters and ignore the exact number of positions between them. Others may try to apply a single constant shift to both letters without considering that the pattern can involve relative placement of pairs in the alphabet. It is important to look at both consecutiveness and the distance between the pairs. Checking the pattern carefully for all letters helps avoid incorrect guesses based on partial similarities. Final Answer: The pair of letters that correctly completes the analogy is RS.

Question 7

In the following number analogy, 16 is related to 50 in a particular way. Using the same pattern, which number should replace the question mark in 16 : 50 :: 24 : ?

Accepted Answer

Introduction / Context: This is a number analogy problem where the relation between 16 and 50 must be discovered and then applied to 24 to obtain the missing number. Such questions typically use simple arithmetic operations like multiplication and addition, and they test your ability to detect and extend numeric patterns quickly and accurately. Given Data / Assumptions: We are given the pair 16 : 50. We must find the number that completes 16 : 50 :: 24 : ?. All values are positive integers. The same arithmetic transformation must apply in both pairs. Concept / Approach: The first step is to look for a direct arithmetic relation between 16 and 50. We may test multiplication by a constant followed by the addition or subtraction of a small number. Once a simple and consistent operation is identified for the first pair, we use that identical rule for 24. The pattern should be one that is natural for exam questions and does not require complicated formulas. Step-by-Step Solution: Step 1: Check possible multipliers. 16 * 2 = 32, which is too small. 16 * 3 = 48, which is close to 50. Step 2: Bridge from 48 to 50. We notice that 48 + 2 = 50. So, 50 can be written as 16 * 3 + 2. Step 3: Treat this as the rule. Transformation rule: multiply the given number by 3 and then add 2. Step 4: Apply the same rule to 24. 24 * 3 = 72. 72 + 2 = 74. Therefore, the required number is 74. Verification / Alternative check: To verify, we can restate the pattern as: output = 3 * input + 2. For the first pair, 3 * 16 + 2 = 48 + 2 = 50, which is correct. For the second pair, 3 * 24 + 2 = 72 + 2 = 74, which matches our derived value. No other option can be expressed using exactly the same operation applied to 24, so the pattern is consistent and unique. Why Other Options Are Wrong: 75 is 24 * 3 + 3, so it fails to follow the +2 part of the pattern. 70 would require subtracting 2 after tripling 24, which contradicts the rule established by 16 and 50. 79 does not correspond to 24 multiplied by any simple integer followed by a constant addition in the same way as the first pair. 68 is less than 3 * 24 and does not fit the add 2 rule either. Common Pitfalls: A common mistake is to jump directly to guesswork with squares, cubes, or digit sums when a simple linear relation is present. Another pitfall is to assume that the same difference will always be added, ignoring the possibility of multiplication first. The safest strategy is to test small integer multipliers and then check whether adding or subtracting a small constant yields the second number. Once the right operation is found, apply it consistently to the second pair without modification. Final Answer: The number that correctly completes the analogy is 74.

Question 8

In the following word analogy, Pacific is related to Ocean in a particular way. Using the same pattern, which word should complete the analogy Pacific : Ocean :: Nile : ?

Accepted Answer

Introduction / Context: This is a verbal analogy that checks your knowledge of world geography and your ability to recognise category relationships. The word Pacific refers to the Pacific Ocean, which is a specific example of the general category Ocean. In the same way, the word Nile refers to a specific geographical feature, and we must identify the correct category for it from the options given. Given Data / Assumptions: We are given the pair Pacific : Ocean. We must complete the pair Nile : ?. All words are geographical terms used in their standard meanings. The relationship in both pairs should be of the same type, ideally name to category. Concept / Approach: In the first pair, Pacific is the proper name of a specific water body, and Ocean is the general category to which the Pacific belongs. Therefore, the relationship is particular to general or example to class. To maintain a consistent analogy, we must treat Nile as another specific example and select the word that expresses its general category. Knowing that the Nile is among the world's longest rivers is the key to answering this correctly. Step-by-Step Solution: Step 1: Analyse the first pair. The Pacific is one of the five major oceans on Earth. Therefore, it belongs to the category Ocean. Step 2: Identify the pattern. The pattern is specific geographical name to general type of geographical feature. Step 3: Apply the pattern to Nile. The Nile is a long natural stream of water that flows across parts of Africa and empties into the Mediterranean Sea. The general category for such a water body is River. Step 4: Match with the options. Among Waterfall, River, Mountain, Lake, and Sea, the only correct general category for the Nile is River. Verification / Alternative check: We can restate both pairs as descriptive sentences. The Pacific is an ocean. The Nile is a river. Both sentences have the same structure: a specific proper noun followed by its category noun. Other combinations like The Nile is a waterfall or The Nile is a lake are factually wrong. The pattern of particular to general is therefore preserved only when we select River as the missing word. Why Other Options Are Wrong: Waterfall refers to water dropping over a vertical edge, which does not describe the Nile as a whole. Mountain is a raised landform and has no direct relation to the Nile as a river. Lake describes a large body of water surrounded by land, not a flowing watercourse. Sea is a large salt water body connected to an ocean, again not a river. Common Pitfalls: Some learners might focus only on words associated with water and overlook the precise type of feature represented by the Nile. It is also easy to confuse seas, oceans, and rivers if you do not recall basic geography. The safest approach is to first state clearly what the given proper noun represents in the real world and then select the category that exactly matches that description. This habit leads to accurate reasoning in many world knowledge analogies. Final Answer: The word that correctly completes the analogy is River.

Question 9

In a certain code language, the word DEMONSTRATE is written as ETARTSNOMED by reversing all its letters. Using the same coding pattern, how is CORRUPT written in that code?

Accepted Answer

Introduction / Context: This analogy question is based on a simple coding rule applied to English words. The given example shows how DEMONSTRATE is written in code, and we must detect the rule and then apply it to another word, CORRUPT. Questions like this are common in reasoning tests and measure your ability to recognise and manipulate patterns in strings of letters. Given Data / Assumptions: The word DEMONSTRATE becomes ETARTSNOMED in the code language. We must find the coded form of CORRUPT. All letters are kept the same, only their order changes. No extra letters are added and none are removed. Concept / Approach: When a coded word uses exactly the same letters as the original but in reverse order, the natural suspicion is that the rule is reversal of the entire string. Therefore, we need to check whether ETARTSNOMED is simply the original word DEMONSTRATE written backwards. If it is, then the same reverse operation must be performed on CORRUPT to find its coded form. Step-by-Step Solution: Step 1: Write DEMONSTRATE normally and then in reverse. Normal order: D E M O N S T R A T E. Reversed order: E T A R T S N O M E D. Step 2: Compare the reversed form to the code. The reversed form ETARTSNOMED matches the given coded word exactly. Step 3: Conclude the coding rule. The code for any word is obtained by writing all its letters in reverse order. Step 4: Apply this rule to CORRUPT. Normal order: C O R R U P T. Reverse the sequence of letters. Reversed order: T P U R R O C. This gives us the coded form TPURROC. Verification / Alternative check: To verify, we can reverse TPURROC again. Writing it backwards, we obtain CORRUPT, which is the original word. This confirms that the transformation is perfectly reversible and is indeed a full reversal of the letter order. The same rule works consistently for both DEMONSTRATE and CORRUPT, which means our identified pattern is correct and stable. Why Other Options Are Wrong: ORCRUPT rearranges some letters but does not represent the exact reverse of CORRUPT. ROCRTPU is a jumbled version and cannot be obtained by simply reversing CORRUPT. ROCRUPT also places letters in a different order and breaks the strict left to right reversal rule. CTRUPRO is another unrelated arrangement that does not correspond to the original word written backwards. Common Pitfalls: A frequent error is to assume that a more complicated coding rule is in use, such as swapping in pairs or shifting letters, when in fact a simple full reversal is enough. Another mistake is to reverse only part of the word, such as the first or last four letters, instead of the entire string. To avoid such mistakes, always check whether a complete reversal reproduces the given code exactly, and then apply that same clear rule to the new word in a careful, step by step manner. Final Answer: Using the same reverse coding pattern, CORRUPT is written as TPURROC in the code language.

Question 10

In the following letter analogy, MN changes to NM by reversing the order of letters. Using the same pattern, which pair of letters should complete the analogy MN : NM :: JK : ?

Accepted Answer

Introduction / Context: This question is a simple letter analogy based on reversing the order of two letters. We are shown how MN becomes NM, and we must apply the same idea to JK. Letter reversal analogies like this test attention to the direction and sequence of symbols rather than any complex arithmetic pattern. Given Data / Assumptions: First pair: MN : NM. Second pair: JK : ?. Only the order of letters changes; the letters themselves are not replaced by others. The relationship must be identical in both pairs. Concept / Approach: In the pair MN : NM, the two letters are exactly the same but appear in reversed order in the second term. There is no shifting forward or backward in the alphabet; only the positions of the letters are swapped. Therefore, the pattern is simply reversal of the pair. To complete the analogy, we must reverse the pair JK in exactly the same way, creating a new pair with the letters in opposite order. Step-by-Step Solution: Step 1: Observe what happens from MN to NM. The first letter M becomes the second letter in the new pair. The second letter N becomes the first letter in the new pair. Thus MN is reversed to become NM. Step 2: Apply the same reversal to JK. Start with the pair JK. The first letter J should become the second letter in the new pair. The second letter K should become the first letter in the new pair. Therefore JK becomes KJ. Step 3: Match this result with the options. KJ appears among the options, so KJ is the correct completion of the analogy. Verification / Alternative check: We can restate the pattern in words: the second pair is obtained by writing the first pair backwards. This works exactly for MN and NM, and it also works for JK and KJ. Any option that does not simply reverse the original pair breaks this clear rule. Therefore choosing KJ preserves the relationship in a consistent and straightforward manner. Why Other Options Are Wrong: RS and SR use entirely different letters and are not simple reversals of JK. PQ and QP again use different letters and ignore the fact that the original pair JK must be preserved, only reversed. Common Pitfalls: Some students may be tempted by pairs such as PQ, QP, RS, or SR because they look similar to JK in being consecutive letters. However, the question is not asking for another pair of consecutive letters; it is asking for the same transformation pattern that changed MN into NM. When the transformation is a pure reversal, the safest strategy is to keep the same letters and simply swap their positions. Keeping this principle in mind helps avoid simple but common errors. Final Answer: Using the same reversal pattern, JK should change to KJ.

Question 11

In the following number analogy, 85 becomes 58 by reversing the order of its digits. Using the same pattern, which number should complete the analogy 85 : 58 :: 64 : ?

Accepted Answer

Introduction / Context: This is a simple numerical analogy where the relationship between the numbers in the first pair is based on reversing the digits. Once we figure out how 85 changes to 58, we apply exactly the same digit reversal rule to 64. Such questions are designed to test careful observation of digit patterns and positional changes rather than complex arithmetic operations. Given Data / Assumptions: First pair: 85 : 58. Second pair: 64 : ?. All numbers are two digit positive integers. Digits are rearranged but not altered individually. Concept / Approach: From 85 to 58, we notice that the digits 8 and 5 remain the same but swap their positions. This suggests that the transformation rule is reversing the order of the digits. No addition, subtraction, or multiplication is needed. Therefore, to find the number corresponding to 64, we will reverse its digits in the same manner and then select the matching option. Step-by-Step Solution: Step 1: Analyse the first pair. The original number is 85. The first digit is 8 and the second digit is 5. The new number is 58, where the first digit is 5 and the second digit is 8. Thus, the digits have been reversed. Step 2: Apply the same reversal to 64. The original number is 64. The first digit is 6 and the second digit is 4. Reversing the digits gives 46. Step 3: Look for 46 among the options. 46 is present as one of the choices, so it is the correct answer. Verification / Alternative check: If we attempted any other pattern such as adding a constant, multiplying, or subtracting digits, the neat symmetry observed in 85 : 58 would not be preserved. For example, 64 plus any constant would not obviously mimic 85 turning into 58. However, the reversal rule works perfectly for the first pair and produces a clean and unambiguous result for the second pair. Therefore, 46 is the only number that satisfies the same transformation. Why Other Options Are Wrong: 42, 36, and 26 involve different digits or unexplained digit changes and do not result from merely reversing 64. 64 is the original number itself; leaving the digits unchanged would not follow the pattern shown by 85 and 58. Common Pitfalls: Sometimes test takers look for unnecessary arithmetic operations when the correct rule is simply positional, such as reversing digits. Another common oversight is to misread the pair and assume it indicates subtraction or some difference rather than reversal. The best strategy is to first check whether a straightforward rearrangement of digits explains the transformation. If it does, then use that same rearrangement rule consistently for the next number. Final Answer: Following the same digit reversal pattern, 64 should change to 46.

Question 12

In this sports related word analogy, Goal is associated with Football. Using the same pattern, which word should complete the analogy Goal : Football :: Basket : ?

Accepted Answer

Introduction / Context: This analogy problem is based on common sports terminology. A goal is a unit of scoring and a defining feature in the game of football. In the same way, a basket is a unit of scoring and an essential feature in another sport. The task is to identify that sport by recognising how specific scoring terms relate to the games in which they occur. Given Data / Assumptions: First pair: Goal : Football. Second pair: Basket : ?. All given words are names of sports or scoring terms used in familiar games. The relation in both pairs must be of the same type, ideally scoring method to sport. Concept / Approach: In the first pair, Goal refers to the score that is made when the ball completely crosses the goal line between the posts in football. Thus, Goal is a scoring term and Football is the sport in which this scoring term is central. To maintain a parallel relationship, Basket should relate to the sport where scoring is normally achieved by shooting the ball into a basket mounted on a backboard. Recognising this common pairing allows us to choose the correct option. Step-by-Step Solution: Step 1: Analyse the first pair. In football, players score by kicking or heading the ball into the opponent's goal. Therefore, Goal is the specific scoring term, and Football is the sport. Step 2: Understand the meaning of Basket. Basket refers to a goal scored by throwing a ball through an elevated hoop or ring with a net, usually attached to a backboard. Step 3: Connect Basket to its sport. This scoring action is characteristic of the game of Basketball. Step 4: Examine the options. Polo, Cricket, Volleyball, and Hockey are all different sports, but their standard scoring terms are not called Baskets. Only Basketball uses the term Basket as a natural and central scoring concept. Verification / Alternative check: We can restate both pairs in sentence form: A player scores a goal in football. A player scores a basket in basketball. The structure of these two sentences is parallel and highlights the direct relationship between scoring unit and sport. None of the other options produce such a clean and universally recognised pairing, which confirms that Basketball is the correct choice. Why Other Options Are Wrong: Polo uses goals, not baskets, for scoring. Cricket uses runs and wickets, not baskets, as the central scoring and dismissal terms. Volleyball uses points won through rallies, not baskets. Hockey also uses the term goal, similar to football, but not basket. Common Pitfalls: Some learners may focus only on the presence of a ball and casually associate Basket with any ball game. However, analogy questions usually rely on a very specific and standard association, not a vague connection. The best strategy is to recall the exact scoring terminology used in major sports. When you see the word Basket, it should immediately suggest Basketball, just as Goal typically suggests Football or Hockey. Matching that clear association is the key to answering correctly. Final Answer: The word that correctly completes the analogy is Basketball.

Question 13

In a certain letter code, OFFICIAL is written as QHHKEKCN by shifting each letter forward in the alphabet. Using the same code, how is LANGUAGE written?

Accepted Answer

Introduction / Context: This problem is a classic example of a letter coding question using a Caesar cipher type shift. The word OFFICIAL is encoded as QHHKEKCN, and we must identify the pattern of shifting applied to each letter. Then we use that same pattern to encode the word LANGUAGE. Such questions test precision in counting letter positions and applying a constant shift through the alphabet. Given Data / Assumptions: Original word: OFFICIAL. Coded word: QHHKEKCN. We must encode LANGUAGE using the same rule. All letters are capital English letters A to Z. Concept / Approach: We convert each letter of OFFICIAL into its alphabet position and compare it with the corresponding letter in QHHKEKCN. If we see a constant increment for every letter, we can conclude that the coding uses a fixed forward shift. Once the size of this shift is confirmed, we apply it consistently to each letter of LANGUAGE to derive its coded form. Step-by-Step Solution: Step 1: Find positions for the letters in OFFICIAL and QHHKEKCN. O is 15, Q is 17. F is 6, H is 8. F is 6, H is 8 again. I is 9, K is 11. C is 3, E is 5. I is 9, K is 11. A is 1, C is 3. L is 12, N is 14. Step 2: Observe the shifts. In each case, the coded letter is 2 positions ahead of the original: 15 to 17, 6 to 8, 9 to 11, 3 to 5, 1 to 3, and 12 to 14. Thus the rule is: add 2 to the letter's alphabet position. Step 3: Apply the +2 shift to LANGUAGE. L is 12, plus 2 gives 14 which is N. A is 1, plus 2 gives 3 which is C. N is 14, plus 2 gives 16 which is P. G is 7, plus 2 gives 9 which is I. U is 21, plus 2 gives 23 which is W. A is 1, plus 2 gives 3 which is C. G is 7, plus 2 gives 9 which is I. E is 5, plus 2 gives 7 which is G. So LANGUAGE becomes NCPIWCIG. Verification / Alternative check: We can verify by reversing the rule for the coded word NCPIWCIG. Subtracting 2 from each coded letter should bring us back to LANGUAGE. For example, N (14) minus 2 is L (12), C (3) minus 2 is A (1), P (16) minus 2 is N (14), and so on. Performing this for all letters reconstructs LANGUAGE exactly, proving that the shift of +2 is correct and consistently applied. Why Other Options Are Wrong: NCPWICIG and the other variants alter the order of letters or place the W in a different position, which does not match the exact +2 shift applied letter by letter. Any option that changes the relative positions of letters or uses a different final letter cannot come from a uniform +2 Caesar type shift. Common Pitfalls: A common mistake is to test only the first few letters and then guess at the rest, which can be dangerous when options are very similar. Another pitfall is to forget that the same shift must work for every letter, not just some of them. Always compute the alphabet positions carefully and verify the rule for all letters in the sample word before applying it to the target word. This careful approach prevents confusion among nearly identical coded options. Final Answer: Using the same +2 letter shift, LANGUAGE is written as NCPIWCIG in the code language.

Question 14

In a certain letter code, SPINSTER is written as ROHMRSDQ by shifting each letter one step backward in the alphabet. Using the same pattern, how is SEMESTER written in that code?

Accepted Answer

Introduction / Context: This question is based on a simple substitution cipher where each letter in a word is replaced by another letter at a fixed distance in the alphabet. SPINSTER is encoded as ROHMRSDQ, and we need to extend this pattern to encode SEMESTER. Identifying the exact shift applied to each letter and then repeating that shift is the key to solving this problem. Given Data / Assumptions: Original word: SPINSTER. Coded word: ROHMRSDQ. We must encode SEMESTER using the same rule. All letters are capital English letters A to Z. Concept / Approach: The straightforward approach is to convert each letter of SPINSTER into its alphabet position and compare it with the corresponding letter in ROHMRSDQ. If we see the same negative shift for every letter, the code uses a constant backward movement in the alphabet. Once this uniform backward shift is confirmed, we apply it letter by letter to SEMESTER to determine the coded form. Step-by-Step Solution: Step 1: Determine positions of letters in SPINSTER and ROHMRSDQ. S is 19, R is 18. P is 16, O is 15. I is 9, H is 8. N is 14, M is 13. S is 19, R is 18. T is 20, S is 19. E is 5, D is 4. R is 18, Q is 17. Step 2: Observe the shift. Each coded letter is exactly one position less than the original: 19 to 18, 16 to 15, 9 to 8, 14 to 13, 20 to 19, 5 to 4, and 18 to 17. Thus, the rule is: subtract 1 from the alphabet position of every letter. Step 3: Apply the same -1 shift to SEMESTER. S (19) minus 1 gives 18, which is R. E (5) minus 1 gives 4, which is D. M (13) minus 1 gives 12, which is L. E (5) minus 1 gives 4, which is D. S (19) minus 1 gives 18, which is R. T (20) minus 1 gives 19, which is S. E (5) minus 1 gives 4, which is D. R (18) minus 1 gives 17, which is Q. So SEMESTER becomes RDLDRSDQ. Verification / Alternative check: We can verify by reversing the operation. If we add 1 to each letter of RDLDRSDQ, we should get SEMESTER back. R plus 1 is S, D plus 1 is E, L plus 1 is M, D plus 1 is E, R plus 1 is S, S plus 1 is T, D plus 1 is E, and Q plus 1 is R. This confirms that the uniform -1 shift is correct and that RDLDRSDQ is the correct coded form of SEMESTER. Why Other Options Are Wrong: RDDLRSDQ and the other variants change letters in positions that should remain fixed under the -1 rule, for example repeating D where a different letter is required. Any string that does not come from subtracting 1 from each letter of SEMESTER fails to match the coding pattern demonstrated by SPINSTER and ROHMRSDQ. Common Pitfalls: A common mistake is miscounting alphabet positions or accidentally applying different shifts to different letters. Another error is to assume that vowels and consonants will follow different rules, even though the example clearly shows a uniform shift. The best strategy is to write out the positions explicitly, apply the shift systematically, and always verify by reversing the operation to see if the original word is recovered. Final Answer: Using the same one step backward shift, SEMESTER is written as RDLDRSDQ in the code language.

Question 15

In the following number analogy, 12 is related to 72 in a particular way. Using the same pattern, which number should replace the question mark in 12 : 72 :: 13 : ?

Accepted Answer

Introduction / Context: This numerical analogy asks you to identify the arithmetic pattern that transforms 12 into 72 and then apply the same rule to 13. Reasoning questions of this type often rely on simple multiplication by a constant factor and are designed to test recognition of straightforward numeric relationships under time pressure. Given Data / Assumptions: First pair: 12 : 72. Second pair: 13 : ?. All numbers are positive integers. The same arithmetic rule must connect both pairs. Concept / Approach: We start by checking whether 72 is a simple multiple of 12, because multiplication by a whole number is the most common pattern. If we find such a multiplier, we then test it on 13. The idea is to look for a clean and exact relationship rather than a complicated expression that would be unlikely in a typical aptitude test. Step-by-Step Solution: Step 1: Check if 72 is divisible by 12. 72 / 12 = 6. So 72 can be written as 12 * 6. Step 2: Interpret the pattern. The second number is 6 times the first number. Step 3: Apply the same rule to the second pair. We take 13 and multiply it by 6. 13 * 6 = 78. Step 4: Match the result with the answer options. 78 is present as one of the options, so it is the correct answer. Verification / Alternative check: We can restate the pattern as: second number = first number * 6. For the first pair, 12 * 6 = 72, which is correct. For the second pair, 13 * 6 = 78, which matches our chosen value. No other option satisfies this simple, consistent multiplication rule. Any number other than 78 would either require a different multiplier or an additional operation, which would break the clear pattern shown in the first pair. Why Other Options Are Wrong: 31 is not 6 times 13 and appears unrelated to a simple multiplicative pattern. 84 is 7 times 12, but the first pair clearly uses 6 as the multiplier, not 7. 100 cannot be expressed as 13 multiplied by an integer that also fits the first pair. 65 is 5 times 13, which uses a different multiplier and therefore does not respect the established rule. Common Pitfalls: Some candidates may overcomplicate the problem by trying to involve addition of squares, cubes, or digit manipulations, but the simplest explanation is often best. Another common error is to miscalculate 12 * 6 or 13 * 6 under time pressure. Always verify quick mental multiplication by reversing it through division, and confirm that the same exact rule works for all given pairs before selecting your final answer. Final Answer: The number that correctly completes the analogy is 78.

Question 16

In the following word analogy, Honest is related to Truthful as a pair of synonyms. Using the same idea, which word should complete the analogy Honest : Truthful :: Obdurate : ?

Accepted Answer

Introduction / Context: This analogy is testing your vocabulary and understanding of synonyms. Honest and Truthful have very similar meanings, so the relationship is clearly that of synonym to synonym. The word Obdurate also has close synonyms, and you must choose the option that best captures its meaning. Knowing common synonyms and antonyms is very helpful for solving such verbal reasoning problems quickly and correctly. Given Data / Assumptions: First pair: Honest : Truthful. Second pair: Obdurate : ?. Honest and Truthful are used in their everyday sense of being sincere and not deceptive. Obdurate is taken in its usual sense from English vocabulary questions, meaning stubborn or unyielding. Concept / Approach: In the first pair, Honest and Truthful mean almost the same thing. Someone who is honest speaks the truth, and someone who is truthful is honest. Therefore, the connection between these two words is a synonym relationship. To preserve the analogy, we must find a word among the options that has a meaning very similar to Obdurate. Consulting common usage, Obdurate describes a person who is stubborn, firm in their opinions, and not easily persuaded to change. The closest synonym in the options must match that idea. Step-by-Step Solution: Step 1: Restate the first pair's relationship. Honest and Truthful are synonyms; both describe a person who tells the truth and does not lie. Step 2: Clarify the meaning of Obdurate. Obdurate refers to someone who is very stubborn, hard to convince, and determined not to change their attitude or opinion. Step 3: Examine each option. Adamant describes someone who is firm, unshakable, and unwilling to change a decision or belief. Soft suggests a gentle or mild personality and often indicates the opposite of being stubborn. Yielding means ready to give way or agree to others, again the opposite of stubborn. Submissive refers to someone who tends to obey, comply, or allow others to control them, the opposite of being firm and unyielding. Step 4: Choose the closest synonym. Adamant clearly matches the stubborn and unyielding sense of Obdurate. Verification / Alternative check: We can check the analogy by rewriting it. Honest is to Truthful as Obdurate is to Adamant. Both pairs now read as synonym pairs. If we try to insert Soft or Yielding, the relationship collapses into antonym pairs, because Obdurate people are not soft or yielding. Submissive is also an antonym like that. The only option that makes both pairs synonym to synonym is Adamant, so the analogy is preserved only with this choice. Why Other Options Are Wrong: Soft implies a tendency to bend or be easily influenced, which conflicts directly with the hardness implied by Obdurate. Yielding means ready to give in, the opposite of someone who stubbornly refuses to change. Submissive describes a person who accepts authority or control, not someone who stands firm against persuasion. Gentle indicates kindness or mildness, which again does not capture the sense of stubborn resistance contained in Obdurate. Common Pitfalls: Some students may confuse a difficult or rare word like Obdurate with something negative in general and then pick any negative sounding option, rather than focusing on the exact meaning. Others may think of Adamant only in its informal sense and overlook that it is widely used as a synonym for stubborn and unyielding. Building a strong vocabulary by regularly reviewing synonym lists and example sentences is the best way to handle this type of question accurately. Final Answer: The word that correctly completes the analogy is Adamant.

Question 17

In the following letter analogy, FGH is related to a certain group of letters in the same way that QRS is related to SUW. Using this pattern, which group of letters should complete the analogy FGH : ? :: QRS : SUW?

Accepted Answer

Introduction / Context: This analogy problem involves detecting a pattern of increasing shifts in consecutive letters. The relation between QRS and SUW follows a systematic set of forward jumps in the alphabet. Once we understand that pattern, we apply the same sequence of jumps to FGH to find the missing group of letters. This type of problem tests accurate counting and pattern replication in the alphabet series. Given Data / Assumptions: We know QRS is related to SUW. We must find a group related to FGH so that FGH : ? :: QRS : SUW. All letters are capital English letters from A to Z. The same step pattern is applied position wise in both pairs. Concept / Approach: We first convert the letters in QRS and SUW to their positions in the alphabet, then study the differences between corresponding letters. If we notice a consistent pattern like +2, +3, +4 for the first, second, and third letters, we can adopt that as the transformation rule. We then apply these exact differences to FGH in order to obtain the new group. Consistency across all positions is crucial. Step-by-Step Solution: Step 1: Determine positions for QRS and SUW. Q = 17, R = 18, S = 19. S = 19, U = 21, W = 23. Step 2: Compute the shifts for each position. First letter: 17 to 19 is +2. Second letter: 18 to 21 is +3. Third letter: 19 to 23 is +4. Thus the pattern is +2, then +3, then +4 for the three letters in order. Step 3: Apply the same +2, +3, +4 pattern to FGH. F = 6, plus 2 gives 8, which is H. G = 7, plus 3 gives 10, which is J. H = 8, plus 4 gives 12, which is L. Therefore, FGH transforms into HJL. Step 4: Match HJL with the options. HJL appears as one of the options, so it is the correct answer. Verification / Alternative check: We can verify the correctness of our pattern by applying it in reverse. If we subtract 2, 3, and 4 from the letters of SUW, we should get back QRS. S minus 2 is Q, U minus 3 is R, and W minus 4 is S, which matches perfectly. Likewise, subtracting 2, 3, and 4 from HJL yields FGH, confirming that HJL is the correct corresponding group. No other option would give this exact mirrored behavior. Why Other Options Are Wrong: OPQ, GHI, HIJ, and IKM do not result from applying the +2, +3, +4 shifts to FGH and therefore do not match the pattern derived from QRS to SUW. Some of these options represent simple consecutive sequences that ignore the increasing step structure of the analogy. Common Pitfalls: One common mistake is to assume that the pattern is always +1, +1, +1 or some other constant shift. Another pitfall is to look only at the first and last letters and ignore the middle one, which often carries crucial information about the step pattern. In multi letter analogies, always compare each corresponding position and confirm that the differences are consistent before applying the pattern to the new group. Final Answer: The group of letters that correctly completes the analogy is HJL.

Question 18

In the following letter analogy, CDE is related to XWV in a particular way. Using the same pattern, which group of letters should complete the analogy CDE : XWV :: ? : QPO?

Accepted Answer

Introduction / Context: This analogy is based on a mirror like relationship in the alphabet, where pairs of letters are chosen such that their positions add up to a constant value. In the pair CDE : XWV, each letter in the first group is matched with a letter in the second group so that their positions in the alphabet sum to 27. We must find a group that has the same mirror relationship with QPO. This tests your understanding of symmetric positions in the alphabet. Given Data / Assumptions: First pair: CDE : XWV. Second pair: ? : QPO. All letters are capital English letters. The mapping is assumed to be letter to letter, maintaining order within each group. Concept / Approach: In an alphabet mirror pattern, letters are paired so that the sum of their positions is 27. For example, A (1) is paired with Z (26), B (2) with Y (25), and so on. When C (3) is paired with X (24), their positions add to 27. The idea is to check whether CDE and XWV fit this mirror rule. If they do, we apply the same rule to determine which group must mirror QPO in the same way. Step-by-Step Solution: Step 1: Write positions for CDE and XWV. C = 3, D = 4, E = 5. X = 24, W = 23, V = 22. Step 2: Check sums of corresponding positions. 3 + 24 = 27. 4 + 23 = 27. 5 + 22 = 27. So C pairs with X, D with W, and E with V under the mirror rule. Step 3: Apply the same mirror rule to QPO. Q = 17. The letter that pairs with Q must have position 27 - 17 = 10, which is J. P = 16. The letter that pairs with P must have position 27 - 16 = 11, which is K. O = 15. The letter that pairs with O must have position 27 - 15 = 12, which is L. Therefore, the required group is JKL. Verification / Alternative check: We can verify the pattern by adding positions of JKL and QPO. J (10) plus Q (17) equals 27, K (11) plus P (16) equals 27, and L (12) plus O (15) also equals 27. This confirms that JKL is the exact mirror of QPO under the same rule that connects CDE and XWV. No other option will satisfy this precise and symmetric mapping for all three letters. Why Other Options Are Wrong: KLM, GHI, ABC, and RST do not yield sums of 27 when paired with QPO letter by letter, so they do not satisfy the mirror relationship. Some of these options represent simple alphabetical runs but ignore the symmetric pairing structure demonstrated by CDE and XWV. Common Pitfalls: A common error is to notice only that CDE and XWV move in opposite directions through the alphabet and then guess another group that also appears reversed, without checking exact numeric positions. In mirror type analogies, you must verify the constant sum pattern for each pair of letters. Systematically adding positions helps you avoid misleading visual patterns and ensures that the chosen group truly preserves the underlying rule. Final Answer: The group of letters that correctly completes the analogy is JKL.

Question 19

In the following number analogy, 2 is related to 10 in a particular way. Using the same pattern, which number should replace the question mark in 2 : 10 :: 3 : ?

Accepted Answer

Introduction / Context: This analogy involves a numerical pattern based on a small algebraic expression. The number 2 is related to 10 through a specific formula, and we must apply that same formula to 3. Problems of this sort test your ability to detect patterns involving both multiplication and powers, and then generalise those patterns to new inputs. Given Data / Assumptions: First pair: 2 : 10. Second pair: 3 : ?. All numbers are integers. The same mathematical rule must be used for both pairs. Concept / Approach: We start by experimenting with 2 to see how we can obtain 10 using a reasonable combination of its square or cube and a multiplier. A neat pattern that often appears in such questions is n multiplied by (n^2 + 1). If this works cleanly for 2 and produces 10, we then apply n * (n^2 + 1) to 3 and see whether the resulting value is present among the options. The aim is to find a simple polynomial expression rather than a complicated or irregular rule. Step-by-Step Solution: Step 1: Test the expression n * (n^2 + 1) for n = 2. Compute 2^2 = 4. Then n^2 + 1 = 4 + 1 = 5. Now multiply by n: 2 * 5 = 10. This exactly matches the first pair, so the rule works for 2. Step 2: Apply the same rule to n = 3. Compute 3^2 = 9. Then n^2 + 1 = 9 + 1 = 10. Now multiply by n: 3 * 10 = 30. So the required number is 30. Step 3: Check whether 30 appears among the options. 30 is present, so it is the correct answer. Verification / Alternative check: We can rephrase the pattern as output = n * (n^2 + 1). For n = 2, the formula gives 2 * (4 + 1) = 2 * 5 = 10. For n = 3, the formula gives 3 * (9 + 1) = 3 * 10 = 30. No other simple integer n substituted into this expression will equal 10 for the first pair, which confirms that the rule fits tightly and is not arbitrary. Because 30 is the only option that can be expressed in the form 3 * (3^2 + 1), the analogy is satisfied uniquely by that value. Why Other Options Are Wrong: 25 is 5^2 and does not match 3 * (3^2 + 1). 17 could be approximated by 3^2 + 8, but that does not connect in a clean, parallel way with the transformation from 2 to 10. 35 and 19 also do not arise from multiplying 3 by (3^2 + 1), and they would require different, unrelated rules. Common Pitfalls: Many students will first try very simple rules like multiplying by a constant or adding a fixed number and may give up when those do not work. It is helpful to remember that exam setters often use expressions involving n^2 or n^3 combined with n. When you suspect such a pattern, compute n^2 and n^3 and try small variations like n * (n^2 + 1). Always ensure that the same expression works for every pair given in the question before finalising your answer. Final Answer: The number that correctly completes the analogy is 30.

Question 20

The country nickname Land of the Rising Sun refers to Japan. Using the same type of geographical nickname relationship, which country is known as The Land of the Thunder Dragon?

Accepted Answer

Introduction / Context: This analogy question tests knowledge of famous country nicknames used in geography and general knowledge. Land of the Rising Sun is a well known poetic description of Japan, particularly in English language contexts. In a similar way, The Land of the Thunder Dragon is another evocative nickname, and we must identify which country it refers to from the options. Such questions appear frequently in competitive exams and quizzes that test world awareness. Given Data / Assumptions: We know that Land of the Rising Sun refers to Japan. We must find the country for The Land of the Thunder Dragon. All options are names of countries in South Asia or nearby regions. Nicknames are taken from common general knowledge sources. Concept / Approach: The relationship in the first pair is country nickname to actual country name. Land of the Rising Sun is a metaphorical title used for Japan, often linked to its position to the east of the Asian mainland and its flag symbol showing a rising sun. To preserve the analogy, we must identify which country proudly brands itself as The Land of the Thunder Dragon. This nickname is deeply connected to that country's culture, national symbols, and mythology. Step-by-Step Solution: Step 1: Restate the first pair. Land of the Rising Sun is a nickname for Japan, so the pattern is nickname to country. Step 2: Recall the meaning of The Land of the Thunder Dragon. The phrase is an English rendering of Druk Yul, which literally means Land of the Thunder Dragon. Druk Yul is the name by which the people of Bhutan refer to their own country. Step 3: Link the nickname to the correct country. Bhutan uses the Thunder Dragon symbol on its national flag and in its royal lineage, reflecting the importance of the dragon in its cultural and religious traditions. Therefore, The Land of the Thunder Dragon refers to Bhutan. Verification / Alternative check: We can cross check with commonly known nicknames for the other countries listed. India is often referred to as the Land of Spices or Land of Diversity. Pakistan is sometimes linked with phrases such as Land of the Pure, based on the meaning of its name. Sri Lanka is known as the Pearl of the Indian Ocean. Nepal is famous as the Land of the Himalayas. None of these match The Land of the Thunder Dragon. Only Bhutan aligns with the dragon symbolism and the traditional name Druk Yul. Why Other Options Are Wrong: Pakistan is not associated with a dragon based nickname and is more commonly linked with other phrases. India has many poetic labels, but Thunder Dragon is not one of them. Sri Lanka is better known as the Pearl of the Indian Ocean, not The Land of the Thunder Dragon. Nepal is identified with the Himalayas and Mount Everest, and does not share the dragon theme used by Bhutan. Common Pitfalls: Many learners may not remember the exact nickname and may try to guess based on proximity or region, thinking that any Himalayan or nearby country could fit. However, the key is to memorise at least a few iconic nicknames, such as Land of the Rising Sun for Japan and Land of the Thunder Dragon for Bhutan. Keeping a short list of these in your notes or flashcards can significantly improve performance in general knowledge analogies. Final Answer: The nickname The Land of the Thunder Dragon refers to Bhutan.

Analogy Questions