Select the combination of letters that when sequentially placed in the blanks of the given series will complete the series. LM_O_NPMRO_KU_TI
- (a)RPMO
- (b)PNOR
- (c)NORP
- (d)NOPR
Answer
Why
Correct — C. Rule: the 16 characters lay out as four rows of four, and each column is its own alphabet progression.
L M _ O
_ N P M
R O _ K
U _ T I
Column 1: L(12), ?, R(18), U(21) — +3 each, so the blank is O.
Column 2: M(13), N(14), O(15), ? — +1 each, so the blank is P.
Column 3: ?, P(16), ?, T(20) — +2 each, so the blanks are N and R.
Column 4: O(15), M(13), K(11), I(9) — -2 each, already complete.
Read the four blanks in the order the series prints them and you get N, O, R, P — option (c).
Why the others are wrong
- (a)RPMO — Putting R in the first blank wrecks column 3, which has to read N, P, R, T. R above P would make that column fall before it rises.
- (b)PNOR — P in the first blank puts two P's in column 3, and a column stepping by a fixed gap cannot repeat a letter.
- (d)NOPR — The first two blanks are right and then P and R are exchanged: column 3 needs R in its third row and column 2 needs P in its fourth.
Concept
A blank-filling letter series can hide its rule in a grid rather than in a straight left-to-right reading, so counting the characters is the first move. Sixteen characters lay out as four rows of four.
Once the letters sit in a grid, each column runs its own arithmetic progression on alphabet positions. Here the four columns step +3, +1, +2 and -2.
Filling the blanks is then ordinary series work, one column at a time, and the options only have to be checked against letters you have already derived.
The options list the blanks in the order the series prints them, left to right, not column by column. Fill the grid first, then read the blanks off in printing order.
Key facts
- The series carries 16 characters, which lay out as a 4 by 4 grid.
- Down the columns the alphabet steps are +3, +1, +2 and -2.
- Alphabet positions used here: I=9, K=11, L=12, M=13, N=14, O=15, P=16, R=18, T=20, U=21.
Study next
Common traps
- Reading all 16 characters as one sequence and hunting for a single step.
- Filling the blanks column by column and then reporting them in that order rather than in print order.
- Choosing option (d), which carries the same four letters as the key with the last two exchanged.
The same instruction with a differently shaped series appears at 9 Sep 2024, 16:00, Reasoning Q.14 (P _ A A _ _ Z A _ V _ _ A _ _) and at 11 Sep 2024, 09:00, Reasoning Q.10, which runs on just three letters, q, p and r.
Related PYQs
No directly related past PYQ was found.