NIMCET 2026 — Reasoning PYQ

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Question

NIMCET 2026 — Reasoning PYQ

NIMCET | Reasoning | 2026

The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of the second to the third is 5:8, then the second number is?

Choose the correct answer:

Explanation

To find the second number, we need to express the three numbers in a combined ratio.

Step 1: Combine the ratios

Let the three numbers be $A, B,$ and $C$ .

The ratio of $A : B$ is $2 : 3$ .
The ratio of $B : C$ is $5 : 8$ .

To combine these, we equate the value of $B$ in both ratios by multiplying $A : B$ by 5 and $B : C$ by 3:

$A : B = (2 \times 5) : (3 \times 5) = 10 : 15$

$B : C = (5 \times 3) : (8 \times 3) = 15 : 24$

Thus, the combined ratio $A : B : C$ is $10 : 15 : 24$ .

Step 2: Solve for the numbers

Let the numbers be $10 x, 15 x,$ and $24 x$ .

Given that their sum is 98:

$10 x + 15 x + 24 x = 98$

$49 x = 98$

$x = \frac{98}{49} = 2$

Step 3: Calculate the second number

The second number is represented by $15 x$ :

$Second number = 15 \times 2 = 30$

Conclusion:

The second number is 30, which corresponds to option 2.