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 sum of money was divided into 2 parts in the ratio 2:5. First part was invested for 2 years at the annual interest rate of 20% compounded annually. At what rate of simple interest per annum the second part must be invested for 2 years, so that the interest earned in both cases is the same?

Choose the correct answer:

Explanation

1. Calculate Compound Interest ( $CI$ ) on the first part:

Principal $(P_1) = 2x$
Rate $(R_1) = 20\%$
Time $(T) = 2$ years

$\text{Effective CI Rate} = \left( R + R + \frac{R^2}{100} \right) \% = \left( 20 + 20 + \frac{400}{100} \right) \% = 44\%$

$\text{Interest}_1 = 44\% \text{ of } 2x = \frac{44}{100} \times 2x = 0.88x$

2. Calculate Simple Interest ( $SI$ ) on the second part:

Principal $(P_2) = 5x$
Rate $(R_2) = R$ (to be found)
Time $(T) = 2$ years

$\text{Interest}_2 = \frac{P \times R \times T}{100} = \frac{5x \times R \times 2}{100} = 0.1xR$

3. Equate both interests:

According to the question, $\text{Interest}_1 = \text{Interest}_2$ :

0.1xR = 0.88x

0.1R = 0.88

R = \frac{0.88}{0.1}

R = 8.8\%

Correct Option: C) 8.8%