Two matrices are provided: Matrix I uses row and column numbers 0 to 4. Matrix II uses row and column numbers 5 to 9. A letter is represented by row number, column number (for example, 23 means row 2, column 3 in Matrix I; 66 means row 6, column 6 in Matrix II). From the matrices, find the row-column codes for each letter in DUNG in sequence, and select the correct option from the given alternatives. Matrix-I | 0 | 1 | 2 | 3 | 4 0 | M | A | E | L | M 1 | C | G | M | J | K 2 | F | B | I | C | F 3 | F | A | L | J | I 4 | C | L | D | K | F Matrix-II | 5 | 6 | 7 | 8 | 9 5 | V | Y | U | S | S 6 | P | X | Q | O | R 7 | N | V | V | O | Q 8 | S | Q | U | T | U 9 | Q | X | S | V | Z
- (a)33, 68, 31, 75
- (b)31, 76, 24, 96
- (c)20, 59, 41, 88
- (d)42, 57, 75, 11
Answer
Why
Correct — D.
Rule: code = row number, then column number (Matrix I: 0–4, Matrix II: 5–9).
D: row 4, column 2 of Matrix I → 42
U: row 5, column 7 of Matrix II → 57
N: row 7, column 5 of Matrix II → 75
G: row 1, column 1 of Matrix I → 11
DUNG = 42, 57, 75, 11 → option (d).
Why the others are wrong
- (a)33, 68, 31, 75 — 33 is row 3, column 3 = J, not D. The four codes spell J, O, A, N, and just the last, 75 for N, is a letter of DUNG.
- (b)31, 76, 24, 96 — 31 is row 3, column 1 = A. The four codes read A, V, F, X, and none of them is a letter of DUNG.
- (c)20, 59, 41, 88 — 20 is row 2, column 0 = F. The codes read F, S, L, T, while the D of DUNG sits at 42, not 20.
Concept
Matrix coding gives every letter a two-digit address: first digit the row, second the column. The two grids use different digit ranges, so the first digit also tells you which grid to read — 0–4 is Matrix I, 5–9 is Matrix II.
Start from the rarest letter. D sits in a single cell, 42, so any option that does not open with 42 is out before you check the rest.
A letter can sit in more than one cell: U is at 57, 87 and 89, and any of those codes is valid for U. That is why you test each option's codes against the grid rather than hunting for one fixed answer.
Key facts
- A code is row digit first, column digit second: 42 = row 4, column 2.
- Matrix I covers rows and columns 0–4, Matrix II covers 5–9.
- Here D = 42, U = 57 (also 87 or 89), N = 75, G = 11.
Study next
Common traps
- Reading column first: 57 and 75 are different letters here, U and N
- Rejecting a correct string because its U code, 57, differs from the U you found first at 87 or 89
Here both grids sit in the stem and each option is a string of four codes. Settle it from D, which has one address, before reading the rest of the word.
Related PYQs
No directly related past PYQ was found.