‘MPQO’ is related to ‘KNSQ’ in a certain way based on the English alphabetical order. In the same way, ‘DGHF’ is related to ‘BEJH’. To which of the following is ‘EINW’ related, following the same logic?
- (a)CHQY
- (b)BHQX
- (c)BGPX
- (d)CGPY
Answer
Why
Correct — D.
Rule: the first two letters move back 2, the last two move forward 2.
MPQO → KNSQ: M−2=K, P−2=N, Q+2=S, O+2=Q.
DGHF → BEJH: D−2=B, G−2=E, H+2=J, F+2=H.
Apply the same split to EINW:
E−2=C, I−2=G, N+2=P, W+2=Y.
That gives CGPY, which is option (d).
Why the others are wrong
- (a)CHQY — CHQY gets the outer letters right but not the inner pair. H is I moved back only one, and Q is N moved forward three, where the rule needs G and P.
- (b)BHQX — None of B, H, Q, X matches the −2, −2, +2, +2 shifts. B is E moved back three and X is W moved forward only one.
- (c)BGPX — The middle pair G and P is correct, but the outer letters are not: B is E moved back three, and X is W moved forward only one.
Concept
Four-letter analogies are position arithmetic. Convert to alphabet numbers, take the difference letter by letter, and the rule falls out in one pass.
The shape here is a split rule: the first half moves back, the second half moves forward. Check all four positions before committing — a rule that fits the first letter and fails on the third is the usual way these are lost.
Two worked pairs are given rather than one, and the rule has to fit both. MPQO → KNSQ on its own would leave a uniform shift open as a reading.
Every option here begins with B or C and ends with X or Y, so the first and last letters cannot separate them. The decision sits on the two middle letters.
Key facts
- M−2=K, P−2=N, Q+2=S and O+2=Q, so MPQO gives KNSQ.
- D−2=B, G−2=E, H+2=J and F+2=H, so DGHF gives BEJH.
- E−2=C, I−2=G, N+2=P and W+2=Y, so EINW gives CGPY.
Study next
Common traps
- Applying the first half's −2 to all four letters, which gives CGLU and matches no option.
- Losing count near the end of the alphabet, where W+2 must land on Y and not Z.
The same alphabet-position arithmetic builds the series at Reasoning Q.21 in this shift, where HDLB becomes LBPZ on shifts of +4 and −2.
Related PYQs
No directly related past PYQ was found.