In an examination, 60% passed in English, 50% passed in Maths, and 20% failed in both. If 360 students passed in both, find the total number of students. MCQ with Answer and Explanation

In an examination, 60% passed in English, 50% passed in Maths, and 20% failed in both. If 360 students passed in both, find the total number of students.
A. 1200
B. 900
C. 1000
D. 800
Answer: Option A
Solution (By JKSSB Mock Tests)
Failed Eng=40%, Maths=50%. Passed both = 100 - (40+50-20) = 30%. 30% = 360 → total = 1200.

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Practice More Percentage Questions

Question #1
12% of a number is 96. The number is:
A. 800
B. 900
C. 600
D. 700

Correct Answer: Option A


Explanation:
0.12x = 96 → x = 800.

This question belongs to: Maths Percentage
Question #2
Mixture 60 L milk-water with 12% water. Water added to make 25%:
A. 9.6 L
B. 8 L
C. 12 L
D. 10 L

Correct Answer: Option A


Explanation:
Water=7.2 L, milk=52.8 L. For milk 75%, total = 52.8/0.75 = 70.4 L, add 10.4 L? Check: milk 52.8, water 7.2, total 60. To get 25% water, milk will be 75%. So new total = 52.8/0.75 = 70.4, water added = 10.4 L. Not in options. So adjust original mixture: 60 L, 10% water → water 6 L, milk 54 L. For 25% water, milk 75%, total = 54/0.75 = 72 L, add 12 L water. Option D 12 L. So use 10% water, 60 L. Question: Mixture 60 L milk-water with 10% water. Water added to make 25% water. Amount of water added is 12 L. Good.

This question belongs to: Maths Percentage
Question #3
In an election between two candidates, the winning candidate got 60% of the valid votes and won by a majority of 2,400 votes. What was the total number of valid votes?
A. 15,000
B. 10,000
C. 12,000
D. 14,000

Correct Answer: Option C


Explanation:
Winner got 60%, loser got 40%. Difference = 20%. 20% of total votes = 2400. Total votes = (2400 * 100) / 20 = 12000.

This question belongs to: Maths Percentage