One-half of a certain number is equal… - CUET UG 2025 General Test PYQ

CUET UG 2025 — General Test Arithmetic

2025mcqmedium

One-half of a certain number is equal to 65% of the second number. What is the ratio of the first number to second number?

Official previous-year question

Held on 16 May 2025 · Verified 13 Jul 2026.

Options

A
13:10
B
8:13
C
13:8
D
10:13

Did you get this right?

Solution

Let the first number = $x$

Let the second number = $y$

One-half of the first number equals 65% of the second number:

$\frac{x}{2} = 65\% \text{ of } y$

$\frac{x}{2} = \frac{65}{100} \times y$

Simplifying $\frac{65}{100}$ :

$\frac{65}{100} = \frac{13}{20}$

So:

$\frac{x}{2} = \frac{13}{20} \times y$

Multiply both sides by 2:

$x = 2 \times \frac{13}{20} \times y$

$x = \frac{26}{20} \times y$

$x = \frac{13}{10} \times y$

Finding the ratio:

$\frac{x}{y} = \frac{13}{10}$

Therefore, the ratio of the first number to the second number is $13:10$ .

Your note

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