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. 1100
B. 1000
C. 800
D. 900
Answer: Option B
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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Question #1
A number divided by 4, quotient increased by 25% then decreased by 20% gives 150. Number:
A. 640
B. 540
C. 560
D. 600

Correct Answer: Option D


Explanation:
(N/4)×1.25×0.8 = (N/4)×1 = 150 → N/4=150 → N=600.

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Question #2
A man's salary is increased by 10% in the first year, by 20% in the second year, and decreased by 10% in the third year. If his final salary is Rs. 35640, find his initial salary.
A. Rs. 32000
B. Rs. 27000
C. Rs. 30000
D. Rs. 25000

Correct Answer: Option C


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Question #3
Cost of 20 items = SP of 15 items. Profit %:
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B. 33.33%
C. 30%
D. 40%

Correct Answer: Option B


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