1. P and Q can complete a work in 15 days and 10 days respectively. They started the work together and then Q left after 2 days. P alone completed the remaining work. The work was finished in__________days.

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A. 12
B. 15
C. 22
D. 20
✅ The correct answer is option A. 12.
Work done by P in 1 day = 1/15

Work done by Q in 1 day = 1/10

Work done by P and Q in 1 day = 1/15 + 1/10 = 1/6

Work done by P and Q in 2 days = 2 × (1/6) = 1/3

Remaining work = 1 – 1/3 = 2/3

Time taken by P to complete the remaining work 2/3 = (2/3) / (1/15) = 10 days

Total time taken = 2 + 10 = 12 days

36. Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

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A. 2 : 3 : 4
B. 6 : 7 : 8
C. 6 : 8 : 9
D. None of these
✅ The correct answer is option A. 2 : 3 : 4.
5:7:8 = 50:70:80

50*140/100=70 ; 70*150/100=105 ; 80*175/100=140

70: 105: 140 or

14: 21: 28 or

2: 3: 4

30. Candidates in a competitive examination consisted of 60% men and 40% women 70% men and 75% women cleared the qualifying test and entered the final test where 80% men and 70% women were successful? Which of the following statements is correct?

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A. Success rate is higher for women
B. Overall success rate is below 50%
C. More men cleared the examination than women
D. Both ‘A’ and ‘B’
✅ The correct answer is option C. More men cleared the examination than women.