Select the letter-cluster from among the given options that can replace the question mark (?) in the following series: B E Y B I U B M Q B Q M ?
- (a)BCA
- (b)BVA
- (c)BUI
- (d)BHA
Answer
Why
Correct — C.
Rule: first letter fixed at B, second letter +4, third letter −4.
Second letters: E(5), I(9), M(13), Q(17), each +4 → U(21)
Third letters: Y(25), U(21), Q(17), M(13), each −4 → I(9)
B + U + I = BUI → option (c).
Why the others are wrong
- (a)BCA — BCA keeps B but puts C (3) second. The second letters climb by 4 from Q, so the next is U (21), not C.
- (b)BVA — BVA has V (22) second and A (1) third. Q + 4 is U, one short of V, and M − 4 is I, not A.
- (d)BHA — BHA puts H (8) second and A (1) third. The second letter must rise from Q to U and the third must fall from M to I, and neither matches.
Concept
A letter-cluster series is several letter series written side by side. Split the clusters into columns and read each column on its own, using alphabet positions (A = 1 … Z = 26).
Here the first column never changes: B. The second climbs E, I, M, Q by +4, and the third falls Y, U, Q, M by −4. The fifth cluster is B, U, I.
A second check: the second and third letters of every cluster add up to 30 (E + Y = 5 + 25, I + U = 9 + 21). BUI keeps that total, 21 + 9, while BCA, BVA and BHA do not.
Key facts
- E = 5, J = 10, O = 15, T = 20 and Y = 25 are quick anchors for letter positions.
- In this series the second and third letters of every cluster add up to 30.
- BQM is followed by BUI: Q + 4 = U and M − 4 = I.
Study next
Common traps
- Reading the clusters as one long letter string instead of separate columns
- Adding 4 to the third letter as well, which turns M into Q instead of I
14 Sep 2025, 12:30, Reasoning Q.2 uses the same frame: RXD, RUJ, RRP, ROV with R fixed, the second letter −3 and the third +6, keyed RLB (option d), where V + 6 wraps past Z to B.
Related PYQs
No directly related past PYQ was found.