NIMCET 2025 — Reasoning PYQ

Q: How do I solve NIMCET 2025 Reasoning questions?

Practice NIMCET 2025 Reasoning previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

Q: What is the difficulty level of NIMCET Reasoning questions?

NIMCET Reasoning questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Q: Are NIMCET previous year papers available for free?

Yes. Mathem Solvex provides free access to NIMCET previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

Question

NIMCET 2025 — Reasoning PYQ

NIMCET | Reasoning | 2025

A group of $630$ children is arranged in rows for a group photograph. Each row contains three fewer children than the row in front of it. What number of rows is not possible?

Choose the correct answer:

Explanation

1. Equation Setup:

Let $n$ be the number of rows and $a$ be the number of children in the front row.

The number of children in each row forms an Arithmetic Progression (AP):

First row: $a$
Second row: $a - 3$
Third row: $a - 6$
Common difference ( $d$ ) = $-3$

2. Sum of AP Formula:

S_n = \frac{n}{2} [2a + (n-1)d]

630 = \frac{n}{2} [2a + (n-1)(-3)]

1260 = n [2a - 3n + 3]

\frac{1260}{n} = 2a - 3n + 3

3. Condition for Feasibility:

For a row arrangement to be possible:

$n$ must be a factor of $1260$ .
$a$ (number of children) must be a positive integer ( $a > 0$ ).
The last row must have at least one child: $a - (n-1)3 > 0$ .

4. Testing Options:

If $n = 3$ :

$\frac{1260}{3} = 420 \implies 2a - 9 + 3 = 420 \implies 2a = 426 \implies a = 213$

(Possible)
If $n = 4$ :

$\frac{1260}{4} = 315 \implies 2a - 12 + 3 = 315 \implies 2a = 324 \implies a = 162$

(Possible)
If $n = 5$ :

$\frac{1260}{5} = 252 \implies 2a - 15 + 3 = 252 \implies 2a = 264 \implies a = 132$

(Possible)
If $n = 6$ :

$\frac{1260}{6} = 210 \implies 2a - 18 + 3 = 210 \implies 2a = 225$

$a = 112.5$

Since the number of children ( $a$ ) cannot be a fraction, $6$ rows is not possible.

Correct Answer: Option D

Choose the correct answer:

Explore More