Quantitative Aptitude Quiz

1. If sum of three numbers is 65. If the ratio of the first to second number is 5 : 3, and that of the second and third number is 7 : 3, then what is the second number?
1) 9
2) 15
3) 21
4) 35
5) None of these

2. There is a certain amount from which A takes 25% then B takes 50% of remaining amount, then C takes 75% of the remaining amount. Now if the amount left is 5,760 then what is the actual sum?
1) Rs 58,220
2) Rs 59,680
3) Rs 60,600
4) Rs 61,440
5) None of these

3. A sells an item to B at a loss of 20% and B sells it to C at a loss of 25%. If C pays Rs 3,000 then what is the original price?
1) Rs 6,000
2) Rs 5,000
3) Rs 8,000
4) Rs 4,500
5) Rs 7,500

4. Two trains A and B are running on parallel tracks in the same direction. Train A which is coming from behind takes 50 seconds to cross B completely. One person in train A observes that he crosses train B in 30 seconds. If the speed of the train A and train B is in the ratio of 2 : 1, what is the ratio of their lengths?
1) 1 : 2
2) 2 : 3
3) 4 : 3
4) 5 : 3
5) 5 : 4

5. A man can row a boat at a speed of 10 kmph in still water. He goes to a certain point upstream and back to starting point in a river. Speed of flowing river is 2 kmph. What is the average speed of the boat for total journey?
1) 4 kmph
2) 6 kmph
3) 8.4 kmph
4) 9.6 kmph
5) None of these

6. A round table conference is to be held among 12 delegates. In how many ways can they be seated if two particular delegates are always to sit together?
1) 12!
2) 12! × 2!
3) 10! × 2!
4) 10!
5) None of these

7. A and B stand in a ring with 9 other persons. If the arrangement of the 11 persons is at random, then what is the probability that there are exactly 3 persons between A and B?
1) 1/9  
2)  1/11
3)  3/11
4)  1/5
5)  1/3

8. If A and B together can do a work in 10 days and A alone can do it in 15 days. In how many days B alone can do the work?
1) 10 days
2) 5 days
3) 20 days
4) 30 days
5) None of these

9. If a person does a journey in 20 hours, the first half of the distance at 6 kmph and the second half at 4 kmph. Then what is the total distance?
1) 200 km
2) 100 km
3) 96 km
4) 48 km
5) None of these

10. Two trains are moving in opposite directions at 30 kmph and 24 kmph. The faster train crosses a man in the slower train in 5 seconds. What is the length of faster train?
1) 150 m
2) 120 m
3) 80 m
4) 75 m
5) None of these



ANSWERS
1. 3
2. 4
3. 2
4. 2
5. 4
6. 3
7. 4
8. 4
9. 3
10. 4