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. 1000
B. 900
C. 1200
D. 800
Answer: Option C
Solution (By JKExamLibrary)
Failed Eng=40%, Maths=50%. Passed both = 100 - (40+50-20) = 30%. 30% = 360 → total = 1200.

This question belongs to: Maths Percentage

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Practice More Percentage Questions

Question #1 Report Error
A shopkeeper sells an article at 10% profit. Had he bought it at 20% less and sold it for Rs. 12 less, he would have gained 25%. The cost price is:
A. Rs. 100
B. Rs. 140
C. Rs. 120
D. Rs. 150

Correct Answer: Option C


Explanation:
CP=x, SP=1.1x. New CP=0.8x, new SP=1.1x-12 = x → 0.1x=12 → x=120.

This question belongs to: Maths Percentage
Question #2 Report Error
A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation?
A. 40%
B. 36%
C. 64%
D. 60%

Correct Answer: Option C


Explanation:
True value = 5/3x. False value = 3/5x. Error = (5/3 - 3/5)x = (16/15)x. % Error = ((16/15) / (5/3)) * 100 = (16/25) * 100 = 64%.

This question belongs to: Maths Percentage
Question #3 Report Error
Radius of circle decreased 20%. Area decreases by:
A. 32%
B. 36%
C. 38%
D. 34%

Correct Answer: Option B


Explanation:
Area multiplier = 0.8² = 0.64, decrease 36%.

This question belongs to: Maths Percentage