‘WISK’ is related to ‘DRHP’ in a certain way based on the English alphabetical order. In the same way, ‘LENT’ is related to ‘OVMG’. To which of the following is ‘BANG’ related, following the same logic?
- (a)ZYNS
- (b)YZMT
- (c)ZYLU
- (d)YZNU
Answer
Why
Correct — B. The code is built on opposite letters, not on a shift.
Rule: A pairs with Z, B with Y, C with X … — the two position numbers always add to 27.
Check WISK → DRHP: W(23) + D(4) = 27, I(9) + R(18) = 27, S(19) + H(8) = 27, K(11) + P(16) = 27.
LENT → OVMG does the same: L→O, E→V, N→M, T→G.
Now BANG:
B(2) → Y(25)
A(1) → Z(26)
N(14) → M(13)
G(7) → T(20)
That spells YZMT — option (b).
Why the others are wrong
- (a)ZYNS — ZYNS never holds the sum: B + Z = 28, A + Y = 26, N + N = 28, G + S = 26. Only a constant 27 gives the opposite letter.
- (c)ZYLU — ZYLU opens with the pair reversed and then misses twice more: N + L = 26 and G + U = 28. Every position has to land on 27 exactly.
- (d)YZNU — YZNU gets B → Y and A → Z right, then slips one place on the second half: N + N = 28 and G + U = 28, where the code demands 27.
Concept
Opposite-letter coding is the second common alphabet trick after a plain shift. Each letter is replaced by its partner counted from the far end: A with Z, B with Y, C with X, down to M with N.
The arithmetic test is a single line — the position numbers of a letter and its opposite always add to 27. That one sum checks any pair in a second, with no reciting of the alphabet.
Learn the position numbers in both directions, forwards from A and backwards from Z.
The stem gives you two worked examples before it asks anything. Test your rule on the second one (LENT → OVMG) before you apply it to BANG; a shift rule dies there.
Key facts
- A letter and its opposite have position numbers adding to 27, as A(1) with Z(26) and M(13) with N(14).
- WISK maps to DRHP and LENT maps to OVMG under that single rule.
- BANG maps to YZMT: B to Y, A to Z, N to M, G to T.
Study next
Common traps
- Writing Z for B and Y for A, which is the right rule on the wrong letters.
- Assuming a fixed shift because the first mapped pair looks like a jump of a few places.
- Leaving N unchanged because M and N sit together in the middle of the alphabet.
The same opposite-letter code is set at 17 Sep 2024, 12:30, Reasoning Q.21 (ACKO : ZXPL) and at 25 Sep 2024, 16:00, Reasoning Q.1 (LISP : ORHK). The wording is identical each time, so recognise the frame and test the 27-sum first.
Related PYQs
No directly related past PYQ was found.