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. 800
D. 1000
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
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. 12,000
C. 10,000
D. 14,000

Correct Answer: Option B


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
Question #2
A train 250 m long passes a man running at 5 kmph in the same direction in which the train is going, in 10 seconds. Find the speed of the train.
A. 80 kmph
B. 95 kmph
C. 90 kmph
D. 85 kmph

Correct Answer: Option B


Explanation:
Relative speed = (250/10) m/s = 25 m/s = 90 kmph. Speed of train = relative speed + man's speed = 90 + 5 = 95 kmph. (Man running same direction, so train overtakes, relative speed = train speed - man speed). So train speed = 25 m/s + 5 kmph? 25 m/s = 90 kmph, man 5 kmph, so train 95 kmph. Yes.

This question belongs to: Maths Percentage
Question #3
If 50% of a number is added to another, second becomes 140% of itself. Ratio of first to second:
A. 4:5
B. 5:4
C. 3:5
D. 2:5

Correct Answer: Option A


Explanation:
0.5F + S = 1.4S → 0.5F = 0.4S → F/S = 0.4/0.5 = 4/5.

This question belongs to: Maths Percentage