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. RATE : SCWI : : HIGH : IKJL : : OPEN : ?
- (a)PQHR
- (b)PRHR
- (c)PRIS
- (d)PSIR
Answer
Why
Correct — B. Rule: the four letters shift forward by +1, +2, +3, +4.
RATE → SCWI: R+1=S, A+2=C, T+3=W, E+4=I.
HIGH → IKJL: H+1=I, I+2=K, G+3=J, H+4=L.
Apply the same run to OPEN:
O+1=P, P+2=R, E+3=H, N+4=R.
PRHR is option (b).
Why the others are wrong
- (a)PQHR — PQHR shifts the second letter by only +1, P to Q, where the run calls for P+2 = R. The first and last letters being right makes the slip easy to miss.
- (c)PRIS — PRIS starts correctly and then over-shifts the tail: E+4 = I and N+5 = S, where the third and fourth steps are +3 and +4.
- (d)PSIR — PSIR takes the middle letters out of step — P+3 = S and E+4 = I — where the second letter takes +2 and the third takes +3.
Concept
Letter-cluster analogies are settled by writing alphabet positions under both clusters and subtracting.
RATE to SCWI gives +1, +2, +3, +4, and HIGH to IKJL gives the same run. Two independent confirmations make the rule safe to apply to the third cluster.
The one thing to watch is wrap-around: a letter near the end of the alphabet plus 4 runs past Z and restarts at A. OPEN needs no wrap, but a cluster ending in X or Y would.
All four options open with P, so the first letter decides nothing. The item is settled on the second, third and fourth letters, which is exactly where the three wrong options break the run.
Key facts
- R, A, T, E shifted by +1, +2, +3, +4 gives S, C, W, I.
- O, P, E, N shifted by +1, +2, +3, +4 gives P, R, H, R.
- H is the 8th letter and L the 12th, which confirms the +4 step on the second given pair.
Study next
Common traps
- Checking only the first analogy and never confirming the run on the second
- Counting from A each time instead of stepping forward from the letter itself
- Losing a step in the middle and producing +1, +1, +3, +4
The five-cluster wording — two solved analogies, then a third to complete — also runs at 9 Sep 2024, 9:00, Reasoning Q.11 and at 9 Sep 2024, 16:00, Reasoning Q.1.
Related PYQs
No directly related past PYQ was found.