In an examination, 80% passed in English, 70% in Mathematics, and 10% failed in both. If 144 students passed in both, total students: MCQ with Answer and Explanation

Question

In an examination, 80% passed in English, 70% in Mathematics, and 10% failed in both. If 144 students passed in both, total students:

A. 200

B. 220

C. 240

D. 260

Answer: Option C

Solution (By JKSSB Mock Tests)

Failed English=20%, Maths=30%. Passed both = 100 - (20+30-10) = 60%. 60% = 144 → total=240.

This question belongs to: Maths Percentage

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Question #1

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If the numerator of a fraction is increased by 200% and the denominator is increased by 300%, the resultant fraction is 15/26. What was the original fraction?

A. 10/13

B. 8/11

C. 12/15

D. 11/14

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Correct Answer: Option A

Explanation:
Let original fraction be x/y. New numerator = x + 2x = 3x. New denominator = y + 3y = 4y. So, (3x / 4y) = 15/26. x/y = (15 * 4) / (26 * 3) = 60 / 78 = 10/13.

This question belongs to: Maths Percentage