Quantitative Aptitude

1.If a girl walks 20 km at 5 km/hr, she will be late by 40 minutes. If she walks at 8 km per hr, how early from the fixed time will she reach?

(1) 15 minutes

(2) 25 minutes

(3) 50 minutes

(4) 1.5 hours

2.A boy rides his car 10 km at an average speed of 12 km per hr and again travels 12 km at an average speed of 10 km per hr His average speed for the entire trip is approximately:

(1) 10.4 km/hr

(2) 10.8 km/hr

(3) 11.0 km/hr

(4) 12.2 km/hr

3.A train 180 m long moving at the speed of 20 m/sec. over takes a man moving at a speed of 10m / sec in the same direction. The train passes the man in:

(1) 6 sec

(2) 9 sec

(3) 18 sec

(4) 27 sec

4.The distance between two cities A and B is 330 km. A train starts from A at 8 a.m. and travels to wards B at 60 km / hr another train starts from B at 9 a.m. and travels towards A at 75 km/ hr At what time do they meet?

(1) 10 a.m.

(2) 10 :30 a.m.

(3) 11 a.m.

(4) 11 :30 a.m.

5.In covering a certain distance, the speeds of A and B are in the ratio of 3 : 4. A takes 30 minutes more than B to reach the destination. The taken by A to reach the destination is:

(1) 1 hour 

(2) 1.5 hours

(3) 2 hours

(4) 2.5 hours

6.The ratio of the number of students studying in Schools A, B and C is 4 : 8 : 3 respectively. If the number of students studying in each of the schools is increased by 80%, 20% and 60% respectively, what will be the new ratio of the number of students in Schools A, B and C. 

(1)8 : 3 : 4   

(2)4 : 2 : 3  

(3)Can’t say  

(4)None of these

7. A woman  covered some distance in 24 hours. She covered half the distance by rail @ 75 km per hour and the rest by car @ 45 km/hr. The total distance covered by her was

(1)900 km   

(2)1350 km  

(3)675 km 

(4)2700 km   

8.A sum of Rs. 2135 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is

(1) Rs. 420   

(2) Rs. 735  

(3) Rs. 980 

(4) Rs. 1200   

9.A person sold 160 mangoes for the C.P. of 200 mangoes. His gain percent is

(1) 10%   

(2) 15%  

(3) 12½%

(4) 25%   

10. A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

(1) 26 litres

(2) 29.16 litres

(3) 28 litres

(4) 28.2 litres

Answers Key
1.(3)  
2.(2) 
3.(3)
4.(3) 
5.(3) 
6.(4)
7.(2) 
8.(1) 
9.(4)
10.(2)