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. LOI: QTN :: VES:AJX :: AND: ?
- (a)FSJ
- (b)FSI
- (c)FTJ
- (d)FTI
Answer
Why
Correct — B. Rule: every letter moves +5 along the alphabet, wrapping past Z back to A.
LOI to QTN: L+5 = Q, O+5 = T, I+5 = N.
VES to AJX: V+5 = A (22 + 5 = 27, so back round to 1), E+5 = J, S+5 = X.
Both worked pairs give the same shift, so apply it to AND:
A+5 = F, N+5 = S, D+5 = I → FSI, option (b).
Why the others are wrong
- (a)FSJ — FSJ moves the last letter six places, D to J. The shift is a uniform +5 in both worked pairs, so D goes to I.
- (c)FTJ — FTJ shifts the last two letters by six — N to T and D to J. Only the first letter has been given the +5 the pattern actually uses.
- (d)FTI — FTI takes N to T, a six-place move, while F and I are right at +5. One letter off the rule is enough to reject an option.
Concept
Letter-cluster analogies are solved by converting to alphabet positions and subtracting. Write A = 1 through Z = 26 in the margin if the positions are not yet automatic — the arithmetic is trivial once the numbers are visible.
Two worked pairs are given and both must agree. LOI to QTN is +5, +5, +5. VES to AJX looks different only because V runs off the end: 22 + 5 = 27, and 27 − 26 = 1, which is A.
The alphabet is treated as a circle, and the second worked pair, VES to AJX, is where that wrap shows up.
All four options begin with F, so the first letter decides nothing. The item is really a two-letter question about N and D, and the distractor letters T and J are exactly the +6 versions of those two.
Key facts
- L = 12, O = 15, I = 9, and adding 5 gives Q = 17, T = 20, N = 14.
- V = 22 and 22 + 5 = 27, which wraps to 1 = A, the first letter of AJX.
- A + 5 = F, N + 5 = S, D + 5 = I.
Study next
Common traps
- Stopping at the first pair and never checking the wrap inside VES to AJX.
- Counting on fingers and landing one letter past the target, which turns S into T and I into J.
- Subtracting instead of adding when the target cluster starts with an early letter such as A.
The same five-cluster frame is set at 10 Sep 2024, 12:30, Reasoning Q.3 (options UYG, TYG, UXG, TXG) and at 23 Sep 2024, 16:00, Reasoning Q.4 (MQK, MRK, NRL, NSL). In both, neighbouring letters fill the option slots, so a miscount of one still lands on something that looks like an answer.
Related PYQs
No directly related past PYQ was found.