Which letter cluster can replace the question mark (?) to complete the given series? AZFX, EWHW, ?, MQLU, QNNT
- (a)IJTV
- (b)JITV
- (c)ITJV
- (d)JTIV
Answer
Why
Correct — C. Treat the four letter positions as four separate series and solve each one.
Rule: 1st letter +4, 2nd letter −3, 3rd letter +2, 4th letter −1 at every step.
1st: A, E, I, M, Q — rising by 4.
2nd: Z, W, T, Q, N — falling by 3.
3rd: F, H, J, L, N — rising by 2.
4th: X, W, V, U, T — falling by 1.
Reading the third column down gives ITJV — option (c).
Why the others are wrong
- (a)IJTV — IJTV has the first and last letters right but swaps the middle two. The second column falls Z, W, T, so T must sit second and J third.
- (b)JITV — JITV starts with J. The first column runs A, E, I, M, Q in steps of 4, which fixes I as the opening letter of the missing cluster.
- (d)JTIV — JTIV keeps the second and fourth letters right and swaps positions 1 and 3: the first column needs I and the third needs J.
Concept
A letter-cluster series is several series stacked side by side. Nothing useful happens if you read a cluster as one unit — the first letters form one arithmetic run, the second letters another, and so on.
Convert to 1-26 numbers and each column becomes plain arithmetic. Here two columns rise and two fall, which is exactly why no single shift describes the cluster as a whole.
The blank sits in the middle rather than at the end, so each column can be checked from both sides. That is a gift: work the missing letter forwards from EWHW and backwards from MQLU and the two answers must agree.
Key facts
- A, E, I, M, Q are positions 1, 5, 9, 13, 17 — an arithmetic run of +4.
- Z, W, T, Q, N are positions 26, 23, 20, 17, 14 — falling by 3.
- X, W, V, U, T is the alphabet read backwards one step at a time.
Study next
Common traps
- Reading the cluster left to right as a single chain instead of splitting it into columns.
- Finding the right four letters and then ordering them wrongly — every wrong option here is a permutation of I, T, J and V.
- Working only forwards when the blank sits in the middle and can be checked from both sides.
SSC places the blank inside the run so the pattern has to be read in both directions. The same column-by-column method decides the letter-cluster analogy on 12 Sep 2024, 16:00, Reasoning Q.8.
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