Q1. A pump can be used for filling as well as for emptying a tank. The capacity of the tank is 2400 m3. The emptying capacity of the tank is 10 m3 per minute higher than its filling capacity and the pump needs 8 minutes lesser to empty the tank than it needs to fill it. What is the filling capacity of the pump?

(a) 50 m3/min (b) 60 m3/min (c) 72 m3/min (d) 85 m3/min (e) None of these

Q2. Aman left for city X from city Y at 5.20 a.m. He travelled at the speed of 80 km/hr for 2 hours 15 minutes. After that the speed was reduced to 60 km/hr. If the distance between two cities is 350 kms, at what time did Aman reach city X ?

(a) 9.20 a.m. (b) 9.25 a.m. (c) 9.35 a.m. (d) 10.05 a.m. (e) None of these

Q3. Two trains, one from Hubli to Patiala and the other from Patiala to Hubli, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is .

(a) 2 : 3 (b) 4 : 3 (c) 6 : 7 (d) 9 : 16 (e) None of these.

Q4. At his usual rowing rate, Rohit can travel 12 miles downstream in river in 6 hours less than it takes him to travel the same distance upstream. But if he could double his usual rowing rate for his 24-miles round trip, the downstream 12 miles would then take only one hour less than the upstream 12 miles. What is the speed of the current in miles per hour?

(a) 1 1/3 (b) 1 2/3 (c) 2 1/3 (d) 2 2/3 (e) None of these

Q5. The difference between the simple interest on a certain sum at the rate of 10% per annum for 2 years and compound interest which is compounded every 6 months is Rs. 124.05. What is the principal?

(a) Rs. 6,000 (b) Rs. 8,000 (c) Rs. 10,000 (d) Rs. 12,000 (e) Rs. 16,000

Q6. 2 metres broad footpath is to be constructed around a rectangular park on the inside. The area of the park is 96 sq. m. The rate of construction is Rs. 50 per square meter. Find the total cost of the construction.

(a) Rs. 2400 (b) Rs. 4000 (c) Rs. 4800 (d) Data inadequate (e) None of these

Q7. A hemispherical bowl is filled to the brim with water. The contents of the bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If the diameter is same for both the bowl and the cylinder, the volume of water in the cylindrical vessel is :

(a) 66 2/3% (b) 78 1/2% (c) 100% (d) More than 100% (i.e.. some liquid will be left in the bowl).

(e) 50%

Q8. A box contains 2 red balls, 3 black balls and 4 white balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

(a) 32 (b) 48 (c) 64 (d) 96 (e) 144

Q9. X speaks truth in 75% cases and Y in 80% of the cases. In what percentage of cases are they likely to contradict each other, narrating the same story?

(a) 5% (b) 15% (c) 35% (d) 45% (e) 55%

Q10. An equilateral triangle, a square and a circle have equal perimeters. If T denotes the area of the triangle, S the area of the square and C the area of the circle, then :

(a) S < T < C (b) T < C < S (c) T < S < C (d) C < S < T (e) S < C < T

Solution