# Quantitative Aptitude

1. A rectangular tank is 225 m by 162 m at the base. With what speed must water flow into it through an aperture 60 cm by 45 cm that the level may be raised 20 cm in 5 hours? (5400 m/hr)
2. At a point on level ground, the angle of elevation of a vertical tower is found to be such that its tangent is 5/12. On walking 192 metres towards the tower, the tangent of the angle of elevation is 3/4.The height of the tower is: (180 m)
3. A school has 4 sections of chemistry in Class X having 40, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student. (52.25)
4. The average score of boys in an examination of a school is 71 and that of girls is 73.The average score of the school in that examination is 71.8.Find the ratio of the number of boys to the number of girls that appeared in the examination. (3 : 2)
5. Company C sells a line of 25 products with an average retail price of Rs.1, 200. If none of these products sells for less than Rs 420 and exactly 10 of the products sell for less than Rs.1, 000, what is the greatest possible selling price of the most expensive products? (Rs. 11,800)
6. A sink contains exactly 12 litres of water. If water is drained from the sink until it holds exactly 6 litres of water less than the quantity drained away, how many litres of water were drained away? (2)
7. A company received two shipments of ball bearings. In the first shipment,1 per cent of the ball bearings were defective. In the second shipment, which was twice as large as the first, 4.5 per cent of the ball bearings were defective. If the company received a total of 100 defective ball bearings, how many ball bearings were there in the first shipment? (1,000)
8. Population of a district is 2, 96,000 out of which1, 66,000 are male.50% of the population is literate. If 70% male are literate, the number of women who are literate, is? (31,800)
9. A train covers 180 km distance in 4 hours. Another train covers the same distance in 1 hour less. What is the difference covered by these trains in one hour? (None of these)
10. A monkey climbs an 80 m pole at the rate of 5 m in 1 minute. But the monkey slips 2 m in the next minute. How much time the monkey takes to reach the top? (51 minute)