Q.31. In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
(A) 5 kmph
(B) 6 kmph
(C) 6.25 kmph
(D) 7.5 kmph
Q.32. It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. It takes 20 minutes more, if 200 km is done by train and the rest by car. The ratio of the speed of the train to that of the cars is:
(A) 2 : 3
(B) 3 : 2
(C) 3 : 4
(D) 4 : 3
Q.33. The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:
(A) 30º
(B) 45º
(C) 60º
(D) 90º
Q.34. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:
(A) 5 days
(B) 6 days
(C) 10 days
(D) 12 days
Q.35. A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
(A) 30 days
(B) 40 days
(C) 60 days
(D) 70 days
Q.36. In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?
(A) 30%
(B) 70%
(C) 100%
(D) 250%
Answer: Option B
Q.37. A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
(A) Rs. 8400
(B) Rs. 11,900
(C) Rs. 13,600
(D) Rs. 14,700
Q.38. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
(A) 39, 30
(B) 41, 32
(C) 42, 33
(D) 43, 34
Q.39. Which one of the following is not a prime number?
(A) 31
(B) 61
(C) 71
(D) 91
Q.40. 1397 x 1397 = ?
(A) 1951609
(B) 1981709
(C) 18362619
(D) 2031719
(E) None of these
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