Find the group of letters that best completes the analogy. Use alphabetical positions and reverse position logic where necessary. DINS : WRMH :: EKPT : ?
- (a)VJOG
- (b)VJNF
- (c)VPKG
- (d)VJOF
Answer
Why
Correct — C.
Rule: each letter becomes its opposite, the letter whose position adds with it to 27.
D(4) → W(23), I(9) → R(18), N(14) → M(13), S(19) → H(8).
Every pair sums to 27, and the order is kept.
E(5) → V(22), K(11) → P(16), P(16) → K(11), T(20) → G(7).
That gives VPKG → option (c).
Why the others are wrong
- (a)VJOG — VJOG gets V and G right but not the middle. K's opposite is P (11 + 16 = 27), not J, and P's opposite is K, not O.
- (b)VJNF — VJNF gets V right and nothing else. K pairs with P, P pairs with K, and T pairs with G (20 + 7 = 27), not F.
- (d)VJOF — VJOF has V right, then J, O and F, none of which adds to 27 with K, P or T. Those opposites are P, K and G.
Concept
Opposite letters are the pairs that meet from both ends of the alphabet: A and Z, B and Y, C and X. Their positions always add to 27, so the opposite of the letter at position n sits at 27 − n.
The stem's hint, 'reverse position logic', points here. EKPT holds K and P, which are each other's opposites, so in the answer they swap places.
All four options start with V, the opposite of E, so the first letter decides nothing. The second letter does: VPKG is the one option with P.
Key facts
- Opposite letters add to 27: E(5) and V(22), K(11) and P(16), T(20) and G(7).
- The opposite of the letter at position n is at 27 − n.
- M(13) and N(14) are opposites, the middle pair of the alphabet.
Study next
Common traps
- Using 26 − n instead of 27 − n, which puts every letter one place off
- Reversing the order of the letters as well, which the DINS pair does not do
12 Sep 2024, 09:00, Reasoning Q.16 uses the same opposite-letter rule: WISK is related to DRHP, and BANG is keyed YZMT.
17 Sep 2024, 12:30, Reasoning Q.21 keys KFPV for PUKE, where K and P trade places exactly as they do in EKPT.
Related PYQs
No directly related past PYQ was found.