Difficulty: Medium
Correct Answer: None of these
Explanation:
Introduction / Context:
This alphabet test question requires transforming the alphabet and then finding a letter based on positional instructions from the right and from the left. These problems test careful stepwise reasoning and counting skills. Here, the first half of the alphabet is reversed, and we must track a letter eight positions to the left of another letter defined from the right end of the new sequence.
Given Data / Assumptions:
- Original alphabet: A to Z in order.
- First half (A to M) is reversed; second half (N to Z) remains unchanged.
- The transformed sequence has 26 letters in total.
- We must find the fourteenth letter from the right, and then move eight letters to the left of that position in the new sequence.
Concept / Approach:
The main steps are: construct the new alphabet sequence after reversal, then convert the right side position to a left side index, and finally count eight letters to the left. It is easier and less error prone to explicitly list the transformed sequence and to mark positions rather than trying to do all calculations mentally.
Step-by-Step Solution:
Step 1: Write the first half of the alphabet (A to M) and reverse it: A B C D E F G H I J K L M becomes M L K J I H G F E D C B A.
Step 2: The second half (N to Z) is left as N O P Q R S T U V W X Y Z.
Step 3: Combine both parts to form the new sequence: M L K J I H G F E D C B A N O P Q R S T U V W X Y Z.
Step 4: There are 26 letters in total. The fourteenth letter from the right is at position (26 − 14 + 1) = 13 from the left.
Step 5: Count to the 13th letter from the left: 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. So the fourteenth from the right is A.
Step 6: Now we need the eighth letter to the left of this position. Moving eight spaces left from position 13 gives position 5 (13 − 8 = 5).
Step 7: The 5th letter in the new sequence is I. Therefore, the required letter is I.
Verification / Alternative check:
Recheck the counting: verify that positions 1 to 13 are M, L, K, J, I, H, G, F, E, D, C, B, A, and positions 14 onward begin with N. Confirm that the fourteenth from the right is indeed A by counting from the right side as well. Then confirm that position 5 holds I. Since this letter does not appear among the listed options A, B, C, only the generic option "None of these" can be correct.
Why Other Options Are Wrong:
- "E" corresponds to position 9 in the new sequence, not the required position 5.
- "G" corresponds to position 7, which is three places to the right of the correct position.
- "J" is at position 4, one place to the left of the correct letter I.
None of these matches the calculated eighth letter to the left of the fourteenth from the right.
Common Pitfalls:
Students often miscalculate the conversion from a right side position to a left side index or make off by one errors while counting. Another typical mistake is to assume the answer must be one of the specific letters listed and to ignore the possibility that "None of these" can be correct. Writing out the full transformed sequence and carefully counting positions from both sides helps to avoid such errors and confirms the need for the generic option.
Final Answer:
The required letter is I, which is not one of the named choices, so the correct response is None of these.
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