CUET UG 2025 — General Test Arithmetic

2025mcqmedium

In a school bus, there are 54 students, the ratio of boys to girls is 5:4. If 3 boys leave the bus at their stop, the ratio of boys to girls would be ?

Official previous-year question

Held on 13 May 2025 · Verified 13 Jul 2026.

Options

A
1:1
B
4:5
C
3:7
D
9:8

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Solution

The total number of students is 54, with an initial ratio of boys to girls of 5:4.

The ratio 5:4 means there are 5 parts boys and 4 parts girls.

Total parts $= 5 + 4 = 9$

Number of boys initially:

$\text{Boys} = \frac{5}{9} \times 54$

$\text{Boys} = 5 \times 6$

$\text{Boys} = 30$

Number of girls initially:

$\text{Girls} = \frac{4}{9} \times 54$

$\text{Girls} = 4 \times 6$

$\text{Girls} = 24$

After 3 boys leave the bus:

Boys remaining $= 30 - 3 = 27$

Girls remaining $= 24$

The new ratio of boys to girls:

$\text{Ratio} = 27 : 24$

To simplify, divide both by their common factor 3:

$27 \div 3 = 9$

$24 \div 3 = 8$

Therefore, the new ratio of boys to girls is $9:8$ .

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Solution

The total number of students is 54, with an initial ratio of boys to girls of 5:4.

The ratio 5:4 means there are 5 parts boys and 4 parts girls.

Total parts $= 5 + 4 = 9$

Number of boys initially:

$\text{Boys} = \frac{5}{9} \times 54$

$\text{Boys} = 5 \times 6$

$\text{Boys} = 30$

Number of girls initially:

$\text{Girls} = \frac{4}{9} \times 54$

$\text{Girls} = 4 \times 6$

$\text{Girls} = 24$

After 3 boys leave the bus:

Boys remaining $= 30 - 3 = 27$

Girls remaining $= 24$

The new ratio of boys to girls:

$\text{Ratio} = 27 : 24$

To simplify, divide both by their common factor 3:

$27 \div 3 = 9$

$24 \div 3 = 8$

Therefore, the new ratio of boys to girls is $9:8$ .

CUET UG 2025 — General Test Arithmetic

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Solution

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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