In an examination, 40% of the students failed in Mathematics, 30% failed in English, and 10% failed in both subjects. If 144 students passed in both subjects, what is the total number of students who appeared for the examination? MCQ with Answer and Explanation

In an examination, 40% of the students failed in Mathematics, 30% failed in English, and 10% failed in both subjects. If 144 students passed in both subjects, what is the total number of students who appeared for the examination?
A. 400
B. 480
C. 360
D. 300
Answer: Option C
Solution (By JKSSB Mock Tests)
Total failed percentage = Failed in Math + Failed in English - Failed in Both = 40% + 30% - 10% = 60%. Total passed = 100% - 60% = 40%. 40% of total students = 144. Total students = (144 * 100) / 40 = 360.

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Two alloys have copper 70% and 40%. Mixed to get 55% copper. Ratio of mixing:
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Correct Answer: Option C


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A. 125%
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Correct Answer: Option D


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Let CP = C, SP = S, profit = S - C. New SP = 2S, new profit = 3(S-C) = 2S - C. So 3S - 3C = 2S - C → S = 2C. Profit% = (S-C)/C × 100 = (2C-C)/C × 100 = 100%.

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If 40% of a number is added to another, second becomes 120% of itself. Ratio of first to second:
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