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. MSD: NHW :: OAE : LZV :: NIP:?
- (a)MQK
- (b)MRK
- (c)NRL
- (d)NSL
Answer
Why
Correct — B. Rule: every letter is replaced by its opposite in the alphabet — A with Z, B with Y, and in general position n becomes position 27 − n.
MSD: M(13) → N(14), S(19) → H(8), D(4) → W(23) = NHW.
OAE: O(15) → L(12), A(1) → Z(26), E(5) → V(22) = LZV.
Now apply it to NIP:
N(14) → 27 − 14 = 13 = M
I(9) → 27 − 9 = 18 = R
P(16) → 27 − 16 = 11 = K
That gives MRK — option (b).
Why the others are wrong
- (a)MQK — M and K are right, but the middle letter is Q (17). I sits at 9 and its opposite is 27 − 9 = 18, which is R, so Q is one place short.
- (c)NRL — R is right, but N and L each sit one place beyond the opposite: 27 − 14 is M rather than N, and 27 − 16 is K rather than L.
- (d)NSL — Every letter is one place past its opposite — exactly what 28 − n produces instead of 27 − n, giving N, S and L for M, R and K.
Concept
The opposite-letter map pairs the alphabet from both ends: A with Z, B with Y, C with X, on to M with N in the middle.
Every pair satisfies position(first) + position(second) = 27, which is the only thing you need to remember. The map is its own inverse, so applying it twice returns the original letter.
Watch for it because a shift rule and an opposite rule can look alike on a single letter.
M → N is the trap in this stem: 13 → 14 reads like a simple +1 shift until S → H makes that impossible. The analogy gives two worked pairs precisely so a wrong rule fitted to one of them can be discarded.
Key facts
- Opposite letters satisfy n + (27 − n) = 27, so A–Z, D–W, M–N and S–H are all pairs.
- M and N are the middle pair, at positions 13 and 14, and are opposites of each other.
- The EJOTY anchors E5, J10, O15, T20, Y25 put every letter within four counts of a known position.
Study next
Common traps
- Using 28 − n or 26 − n, which moves every letter one place and lands on a near-miss option
- Deriving the rule from MSD → NHW alone and never testing it on OAE → LZV
- Reading M → N as a +1 shift, since 13 → 14 looks like one until the second letter contradicts it
The stem gives two worked analogies, so the rule can be confirmed before it is applied to the third cluster. Alphabet-position arithmetic also drives Reasoning Q.7 of this paper, where every letter is coded as its position plus 2.
Related PYQs
No directly related past PYQ was found.