Consider the word BREAK. How many letters in the word BREAK occupy the same position from the beginning of the word as they would occupy from the beginning when the letters of BREAK are arranged in alphabetical order among themselves?

Difficulty: Medium

Correct Answer: One

Explanation:


Introduction / Context:
This question tests your understanding of alphabetical ordering and positional comparison. You are given the word BREAK and asked how many of its letters occupy the same position from the start as they would if the letters of BREAK were rearranged in alphabetical order. This type of reasoning is common in alphabet test sections of bank and government exams.


Given Data / Assumptions:

    The original word is BREAK with letters B, R, E, A, K in that order.
    We need to rearrange these five letters in alphabetical order among themselves.
    After arranging alphabetically, we must compare positions of each letter in the original and sorted versions.
    The count should include only those letters whose positions from the beginning remain the same in both words.


Concept / Approach:
The approach is straightforward. First, we list the letters of BREAK in alphabetical order. Then, we compare each letter position by position between the original sequence and the sorted sequence. A letter qualifies only if it is the same letter at the same position number in both versions. This comparison uses basic alphabet ordering skills and careful attention to relative positions inside the word.


Step-by-Step Solution:

Step 1: Original word positions are: 1 B, 2 R, 3 E, 4 A, 5 K. Step 2: Arrange the letters A, B, E, K, R in alphabetical order to get the ordered word ABEKR. Step 3: Write positions in the alphabetical arrangement: 1 A, 2 B, 3 E, 4 K, 5 R. Step 4: Now compare letter by letter. At position 1 we have B in BREAK but A in ABEKR, so position 1 does not match. Step 5: At position 2 we have R in BREAK but B in ABEKR, so no match. At position 3 we have E in both BREAK and ABEKR, which is a match. Positions 4 and 5 also do not match. So only one letter, E at position 3, satisfies the condition.


Verification / Alternative check:
To verify, you can list the letters and their positions in a small table. Mark any positions where the same letter appears in both the original and the alphabetically ordered versions. Only E appears as the third letter in both BREAK and ABEKR. Since there are exactly five letters, a quick recheck of all positions confirms that no other letter shares this property. Therefore, the count of such letters is reliably one.


Why Other Options Are Wrong:

    Two would imply that two letters occupy the same relative position in both words, which does not occur when we compare the lists carefully.
    Three would require three matching positions, but we clearly see that only the letter E at position 3 is common in both sequences.
    More than three is impossible because the word has only five letters and we have already established that four out of the five positions do not match between the original and alphabetical forms.


Common Pitfalls:
Candidates sometimes confuse alphabetical order of the full alphabet with alphabetical order within the limited set of letters from the given word. Another mistake is mis arranging the letters or miscounting positions after sorting. It is important to alphabetise the letters correctly as A, B, E, K, R and then carry out a calm one by one comparison of positions with the original word BREAK.


Final Answer:
The number of letters in BREAK that remain in the same position after arranging the letters alphabetically is One.

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