CUET UG 2025 — General Test Arithmetic

Total students = 480

Girls' pass rate = 85%

Boys' pass rate = 70%

Overall pass rate = 75%

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Total students who passed = 75% of 480

$$= \frac{75}{100} \times 480$$=10075​×480

$= 360$=360 students

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Let the number of boys = $B$B

Let the number of girls = $G$G

Total students:

$G + B = 480$G+B=480 ... (1)

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Students who passed:

70% of boys passed = $0.70B$0.70B

85% of girls passed = $0.85G$0.85G

Total who passed = 360

$0.85G + 0.70B = 360$0.85G+0.70B=360 ... (2)

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From equation (1):

$$G = 480 - B$$G=480−B

Substituting into equation (2):

$$0.85(480 - B) + 0.70B = 360$$0.85(480−B)+0.70B=360

$$408 - 0.85B + 0.70B = 360$$408−0.85B+0.70B=360

$$408 - 0.15B = 360$$408−0.15B=360

$$0.15B = 408 - 360$$0.15B=408−360

$$0.15B = 48$$0.15B=48

$$B = \frac{48}{0.15}$$B=0.1548​

$$B = 320$$B=320

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Therefore, 320 boys appeared for the examination.