65% passed an exam. Failures = 420. Total examinees: MCQ with Answer and Explanation

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65% passed an exam. Failures = 420. Total examinees:

A. 1300

B. 1000

C. 1200

D. 1100

Answer: Option C

Solution (By JKSSB Mock Tests)

35% = 420, total = 420/0.35 = 1200.

This question belongs to: Maths Percentage

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Question #1

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Fresh grapes contain 68% water while dry grapes contain 20% water. How many kilograms of dry grapes can be obtained from 100 kg of fresh grapes?

A. 50 kg

B. 32 kg

C. 80 kg

D. 40 kg

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Correct Answer: Option D

Explanation:
Quantity of pulp in fresh grapes = 100% - 68% = 32%. So, pulp = 32 kg. In dry grapes, pulp is 100% - 20% = 80%. Let dry grapes be D kg. 80% of D = 32 implies D = (32 / 0.8) = 40 kg.

This question belongs to: Maths Percentage

Question #2

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In an examination, 70% passed in English, 65% in Maths and 15% failed in both subjects. If 300 students passed in both, total number of students was:

A. 600

B. 550

C. 650

D. 500

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Correct Answer: Option A

Explanation:
Failed Eng=30%, Maths=35%. Passed both = 100 - (30+35-15) = 50%. 50% of total = 300 → total = 600.

This question belongs to: Maths Percentage

Question #3

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A number is erroneously multiplied by 5/3 instead of 3/5. Percentage error in calculation:

A. 180%

B. 166.67%

C. 150%

D. 177.78%

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Correct Answer: Option D

Explanation:
Correct = (3/5)x, wrong = (5/3)x. % error = [(5/3 - 3/5)/(3/5)]×100 = (16/9)×100 ≈ 177.78%.

This question belongs to: Maths Percentage

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