NIMCET 2017 — Reasoning PYQ

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Question

NIMCET 2017 — Reasoning PYQ

NIMCET | Reasoning | 2017

The number of square in the following 4 × 6 grid is

Choose the correct answer:

Explanation

Formula to find the number of squares is:
$4 × 6$ is written as $d_{2} × d_{1}$
Formula:
$d_{1} - (n - 1) \times d_{2} - (n - 1)$
n is the no of the box we are considering: $1 × 1 (n = 1)$
$2 × 2 (n = 2)$
$3 × 3 (n = 3)$
$4 × 4 (n = 4)$
$5 × 5$ is not possible because there are only 4 rows.
$1 × 1 (n = 1)$ putting in formula
$6 - (1 - 1) \times 4 - (1 - 1)$ ;
$6 \times 4 = 24$
Similarly,
$2 × 2 (n = 2)$ putting in formula
$6 - (2 - 1) \times 4 - (2 - 1)$ ;
$5 \times 3 = 15$

and,
$3 \times 3$ (n = 3) putting in formula
$6 - (3 - 1) \times 4 - (3 - 1);$
$4 \times 2 = 8$
also,
$4 \times 4$ (n = 4) putting in formula
$6 - (4 - 1) \times 4 - (4 - 1);$
$3 \times 1 = 3$
Total number of square is 24 + 15 + 8 + 3 = 50
Hence, 50 is the number of square.