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Examoogle • User • info@examoogle.com • EE-2024-8821
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If AB 25 is related to DE 16 in a certain way, and GH 49 is related to JK 36, then to which of the following is MN 81 related?
PQ 64
OP 64
PQ 72
QR 64
PQ 64
Observe the sequence of alphabet pairs in steps of +2 and square the alphabetical position of the first letter of the next set.
Observe the sequence of alphabet pairs in steps of +2 and square the alphabetical position of the first letter of the next set.
Analyze Letter Sequence
Look at the starting letters of each pair: A(1), D(4), G(7), J(10), M(13). The jump between starting letters is +3 (A to D, D to G, G to J, J to M). Therefore, the next starting letter must be M + 3 = 16th letter, which is P.
Analyze Second Letter Sequence
Look at the second letters: B(2), E(5), H(8), K(11), N(14). The jump is also +3 (B to E, E to H, H to K, K to N). The next letter must be N + 3 = 17th letter, which is Q. So, the letter pair is PQ.
Analyze Number Pattern
The numbers are squares: 25(5 squared), 16(4 squared), 49(7 squared), 36(6 squared), 81(9 squared). The logic is that the number is the square of the position of the letter following the first letter of the preceding pair's second letter. More simply, observe the pattern: (A=1) → 5 squared. (D=4) → 4 squared. (G=7) → 7 squared. (J=10) → 6 squared. (M=13) → 9 squared. The pattern follows: (n) squared where n decreases by 1, then increases by 3. Or simply: 5², 4², 7², 6², 9², 8². Thus, 8 squared = 64.
B: OP 64 is incorrect because the letter sequence requires P and Q. C: PQ 72 is incorrect because 72 is not a perfect square. D: QR 64 is incorrect because the letter sequence following MN must start with PQ.
A is correct because the letter pattern follows a +3 shift (MN → PQ) and the number pattern follows a series of squares of decreasing/increasing integers resulting in 8 squared = 64.
In analogy questions involving alphanumeric strings, always split the problem into two distinct parts: letters and numbers, then identify the transformation rule for each independently before combining them.