In an examination, 35% students failed in English, 30% failed in Mathematics and 20% failed in both. If the total number of students passing in both subjects is 550, find the total number of students. MCQ with Answer and Explanation

In an examination, 35% students failed in English, 30% failed in Mathematics and 20% failed in both. If the total number of students passing in both subjects is 550, find the total number of students.
A. 1000
B. 800
C. 900
D. 1100
Answer: Option A
Solution (By JKSSB Mock Tests)
Failed in at least one = 35+30-20 = 45%. Passed in both = 55% = 550 → total = 550/0.55 = 1000.

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Practice More Percentage Questions

Question #1
A number is 20% less than another number. If the smaller number is 120, the larger number is:
A. 160
B. 140
C. 144
D. 150

Correct Answer: Option D


Explanation:
Smaller = 80% of larger → 120 = 0.8L → L = 150.

This question belongs to: Maths Percentage
Question #2
A train 200 m long passes a platform 300 m long in 25 seconds. Find the speed of the train in kmph.
A. 66 kmph
B. 72 kmph
C. 54 kmph
D. 60 kmph

Correct Answer: Option B


Explanation:
Total distance = 200+300=500 m, time 25 sec, speed = 500/25 = 20 m/s = 20 × 18/5 = 72 kmph.

This question belongs to: Maths Percentage
Question #3
The price of a product increases by 20%, and then again by 20%. What is the net percentage increase?
A. 42%
B. 40%
C. 44%
D. 48%

Correct Answer: Option C


Explanation:
Successive percentage formula: 20 + 20 + (20 * 20 / 100) = 40 + 4 = 44%.

This question belongs to: Maths Percentage