Select the option that is related to the fifth letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster and the fourth letter-cluster is related to the third letter-cluster. MEK: NVP :: GYT: TBG :: JWH:?
- (a)QDS
- (b)PCR
- (c)QDT
- (d)PCS
Answer
Why
Correct — A. Every letter is replaced by its opposite letter in the alphabet, the pair of positions always summing to 27 (A with Z, B with Y, and so on).
M(13) → N(14), E(5) → V(22), K(11) → P(16), so MEK → NVP ✓
G(7) → T(20), Y(25) → B(2), T(20) → G(7), so GYT → TBG ✓
Apply it to the fifth cluster:
J(10) → Q(17), W(23) → D(4), H(8) → S(19)
JWH → QDS → option (a)
Why the others are wrong
- (b)PCR — PCR is QDS moved back one letter at every place. The opposite-letter rule fixes each letter by position, so J must give Q, not P.
- (c)QDT — QDT has the last letter wrong. H is the 8th letter and 27 − 8 = 19, which is S, not T.
- (d)PCS — PCS gets only the third letter right. J's opposite is Q rather than P, and W's is D rather than C.
Concept
Letter-cluster analogies are decided by position numbers, so write them down before guessing at a pattern.
Check a constant shift first, because it is the commonest rule. Here M → N looks like +1, but E → V is +17, so the shift is dead and something position-based is at work.
The opposite-letter rule is the next candidate: the letter at position p maps to the letter at position 27 − p. Confirm it on both given pairs before applying it to the fifth cluster.
The rule is its own inverse: applying it twice returns the original cluster. That is a quick way to check your answer, since QDS mapped again gives JWH.
Key facts
- Opposite letters sum to 27: A with Z, B with Y, M with N.
- The EJOTY marks — E is 5, J is 10, O is 15, T is 20, Y is 25 — give positions quickly.
- MEK maps to NVP and GYT maps to TBG under the same single rule.
- J, W and H sit at positions 10, 23 and 8, whose opposites are 17, 4 and 19.
Study next
Common traps
- Testing a fixed +1 shift, which fits M to N and then breaks at E to V
- Getting the opposite of a letter wrong by one, for example writing T for H instead of S
- Reversing the order of the three letters as well as replacing them
Letter positions also decide Reasoning Q.15 (09 Sep 2024, 09:00), which runs a letter-and-number series, and Reasoning Q.22, a four-letter cluster series.
Related PYQs
No directly related past PYQ was found.