(a) 3
(b) 11
(c) 8
(d) 6
Q2. If the number 13915 can be factorized as xy^2 z, where x, y and z are prime numbers, then what is the value of x + y + z?
(a) 28
(b) 39
(c) 49
(d) None of these
Q3. I have to pack some apples into some boxes. If I pack 3 or 4 or 5 or 6 apples in a box, I am left with one apple in each of the cases. However, if I pack 7 apples in a box, I am left with none. What is the minimum number of apples that I have?
(a) 301
(b) 604
(c) 61
(d) 436
Q4. Average score of Rahul Dravid after 25 innings is 46 runs per innings. If after the 26th inning his average runs increased by 2 runs, then what is his score in the 26th inning?
(a) 98
(b) 102
(c) 96
(d) can’t be determined
Q5. How many litres of fresh water should by mixed with 30 litres of 60% milk solution so that resultant solution is a 20% milk solution.
(a) 30 litres
(b) 60 litres
(c) 15 litres
(d) 45 litres
Q6. There is a sequence of 11 consecutive odd numbers. If the average of first 7 numbers is X, then find the average of all the 11 integers.
(a) X + 3
(b) X + 4
(c) X + 5
(d) X + 7
Q7. Two shopkeepers sell some article for Rs. 4000 each. A shopkeeper calculates his profit % on his CP and another calculates his profit % wrongly on SP. What is the difference in their actual profit if both claim to have a profit of 20%?
(a) Rs. 132.33
(b) Rs. 136.33
(c) Rs. 133.33
(d) Rs. 130.33
Q8. A reduction of 20% in the price of sugar enables a person to obtain 40 kg more for Rs. 210. What is the reduced price per kg?
(a) Re. 1
(b) Rs. 1.10
(c) Rs. 1.150
(d) None of these
Q9. A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes 10 min for the angle of elevation to change from 45° to 60°. After how much more time will this car reach the base of the tower?
(a) 5(√3 + 1)
(b) 6(√3 + √2)
(c) 7(√3 – 1)
(d) 8(√3 – 1)
Q13. A 6-ft-tall man finds that the angle of elevation of the top of a 24-ft-high tower and the angle of depression of its base are complementary angles. The distance of the man from the pillar is
(a) 2√3 ft
(b) 8√3 ft
(c) 6√3 ft
(d) 6√2 ft
Q14. A and B invested in the ratio 5 : 4 in a business. If 10% of the total profit goes to charity and A’s share is Rs. 900, find the total profit.
(a) Rs. 1600
(b) Rs. 1400
(c) Rs. 1500
(d) Rs. 1800
Q15. The weights of four rowers of a boat are respectively 71kg, 72 kg, 75 kg and 74 kg and the average weight of whole crew, including the coxswain is 76 kg. Find the weight of the coxswain.
(a) 88 kg
(b) 98 kg
(c) 68 kg
(d) 63 kg
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