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 $13:10$ .

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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 $13:10$ .

CUET UG 2025 — General Test Arithmetic

Options

Did you get this right?

Solution

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CUET UG Arithmetic in other years

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CUET UG 2025 — General Test Arithmetic

Options

Did you get this right?

Solution

Your note

CUET UG Arithmetic in other years

More CUET UG Arithmetic questions

Other General Test topics for CUET UG

General Knowledge

Logical Reasoning

Quantitative Reasoning

Geometry

Current Affairs

Keep practicing Arithmetic