Quantitative Aptitude

1. Two boats P and Q are travelling in Yamuna river from point A and B respectively. Boat P is travelling from
A to B while Q is travelling from B to A. The speed of boat ‘P’ in still water is 66⅔% more than the upstream speed of boat Q. Yamuna river is flowing from A to B with a speed of 2 km/hr. If distance between A and B is 48 km and both meets to each other at 32 km distance from point A, then how much distance boat Q will travel in that time in which P reaches to bank B?…             (3)

1. 1. 32 km
2. 2. 36 km
3. 3. 24 km
4. 4. can’t be determined
5. 5. 16 km

2. A boat takes total 10 hour in going 40 km upstream and again returning to starting point in downstream,
while the same boat takes 4 hour more time to cover 24 km in upstream than in downstream. Speed of boat
in still water is what percent of upstream speed of boat?…              (2)

1. 1. 400%
2. 2. 300%
3. 3. 350%
4. 4. 25%
5. 5. 150%

3. Rahul can swim twice as fast as Rishabh. Rahul gives 200 m lead to Rishabh and both start swimming along
the current to cover a distance of 3.6 km. However, Rahul beats Rishabh by 700 m. If speed of current is 10/9 m/sec, then speed of Rishabh in still water (in km/hr) is: …            (1)

1. 1. 2
2. 2. 4
3. 3. 3
4. 4. 5
5. 5. 2.5

4. A and B are 25 km apart. If they travel towards each other, they meet after one hour. ‘A’ travels faster than B.
Find the speed of A, if he overtakes B after 5 hours, moving in the direction of B. …           (c)

1. 1. 10 km/hr
2. 2. 12.5 km/hr
3. 3. 15 km/hr
4. 4. 20 km/hr
5. 5. None of these

5. A sum of Rs. 8448 is to be divided between A and B who are respectively 18 and 19 years old in such a way
that if their shares be invested at 6.25% per annum at compound interest, they will receive equal amounts on
attaining the age of 21 years. The present share of A is: …..          (3)

1. 1. Rs. 4225
2. 2. Rs. 4352
3. 3. Rs. 4096
4. 4. Rs. 4000
5. 5. Rs. 4520