**Q1. Two**

persons P and Q start from the points A and B towards each other at 11 am.

After meeting at a point C, they take 4 and 9 hours respectively to reach to

the point B and A. Find the time when P reaches to the point B.

persons P and Q start from the points A and B towards each other at 11 am.

After meeting at a point C, they take 4 and 9 hours respectively to reach to

the point B and A. Find the time when P reaches to the point B.

(a) 7pm

(b) 9pm

(c) 8pm

(d) 10pm

**Q2. Walking**

from home at 2/3

minutes late. Had the person walked at 5/4

find the time taken by the man to reach his office.

from home at 2/3

^{rd}of his usual speed, a man reaches his office 30minutes late. Had the person walked at 5/4

^{th}of his usual speed,find the time taken by the man to reach his office.

(a) 45

minutes

minutes

(b) 50

minutes

minutes

(c) 48

minutes

minutes

(d) 60

minutes

minutes

**Q3. Two**

trains are running at 40 km/h and 20 km/h respectively in the same direction.

Fast train completely passes a man sitting in the slower train in 5 seconds.

What is the length of the fast train?

trains are running at 40 km/h and 20 km/h respectively in the same direction.

Fast train completely passes a man sitting in the slower train in 5 seconds.

What is the length of the fast train?

**Q4. A monkey**

is running towards a vertical mirror with a speed of 10 m/s on a line which is

perpendicular to the plane of the mirror. The mirror is moving towards Monkey

with the speed of 6 m/s along the same line. Find the speed of Monkeyâ€™s image

with respect to Monkey.

is running towards a vertical mirror with a speed of 10 m/s on a line which is

perpendicular to the plane of the mirror. The mirror is moving towards Monkey

with the speed of 6 m/s along the same line. Find the speed of Monkeyâ€™s image

with respect to Monkey.

(a) 15 m/s

(b) 25 m/s

(c) 30 m/s

(d) 32 m/s

**Q5. Two**

persons living in different towns 32 km apart, they started at 1 pm to see each

other at the rate of 3.5 and 4.5 km/hr respectively. When will they meet?

persons living in different towns 32 km apart, they started at 1 pm to see each

other at the rate of 3.5 and 4.5 km/hr respectively. When will they meet?

(a) 4 pm

(b) 5 pm

(c) 7 pm

(d) 6 pm

**Q6. A stone is vertically thrown, the height achieved by the stone after t time is given by 12t-6t^2. Find the distance covered by the stone in the last second. **

(a) 1

(b) 6

(c) 2

(d) 12

**Q7. If a man**

cycles at 10 km/hr, then he arrive at a certain place at 1 pm. If he cycles at

15 km/hr, he will arrive at the same place at 11 am. At what speed must he

cycle to get there at noon?

cycles at 10 km/hr, then he arrive at a certain place at 1 pm. If he cycles at

15 km/hr, he will arrive at the same place at 11 am. At what speed must he

cycle to get there at noon?

(a) 11 km/hr

(b) 12 km/hr

(c) 13 km/hr

(d) 14 km/hr

**Q8. Two gunshots were fired at the interval**

of 12 minutes. One person, moving towards the place from where gunshots were

fired, listens the two sounds at the interval of 11 minutes. If the speed of

the sound in 330 m/s, find the speed of the person.

of 12 minutes. One person, moving towards the place from where gunshots were

fired, listens the two sounds at the interval of 11 minutes. If the speed of

the sound in 330 m/s, find the speed of the person.

(a) 33 m/s

(b) 30 m/s

(c) 33.5 m/s

(d) 27.5 m/s

**Q9. A and B run towards each other starting from P and Q respectively with respective speeds 3 kmph and 7 kmph. After meeting, each other to reach P, if B takes x hours. A takes 100/x hours to reach Q, find the distance between P and Q. **

(a) 50 km

(b) 120 km

(c) 130 km

(d) 100 km

**Q10. A person travels a distance AB at 10.368 m in**

5 seconds. In the last four seconds, every second he covers a distance equal to

1/5

Find the distance covered in the 1

5 seconds. In the last four seconds, every second he covers a distance equal to

1/5

^{th}of the total distance covered upto the end of the previous second.Find the distance covered in the 1

^{st}second.
(a) 6 m

(b) 3.125 m

(c) 2.5 m

(d) 5 m

**Q11. A, B, C**

are running clock wise around a circular track and their time periods to run a

circle are 1min, 3min and 5min respectively. Find the time interval after which

they meet for the first time at the starting point.

are running clock wise around a circular track and their time periods to run a

circle are 1min, 3min and 5min respectively. Find the time interval after which

they meet for the first time at the starting point.

(a) 9 min

(b) 15 min

(c) 10 min

(d) 12 min

**Q12. Karan**

and Arjun run a 100 meters race, where Karan beats Arjun by 10 meters. To do a

favour to Arjun, Karan starts 10 meters behind the starting line in second 100 meters race. They both run at their

earlier speeds. Which of the following is true in connection with the second

race?

and Arjun run a 100 meters race, where Karan beats Arjun by 10 meters. To do a

favour to Arjun, Karan starts 10 meters behind the starting line in second 100 meters race. They both run at their

earlier speeds. Which of the following is true in connection with the second

race?

(a) Karan

beats Arjun by 1 meter

beats Arjun by 1 meter

(b) Arjun

beats Karan by 1 meter

beats Karan by 1 meter

(c) Both

Karna and Arjun reaches at same time

Karna and Arjun reaches at same time

(d) Karan

beats Arjun by 10 meter

beats Arjun by 10 meter

**Q13.**

Achilles, running at the speed of 36 km/hr throws a spear at Hector who is running

towards Achilles at the speed of 27 km/hr. At this moment distance between them

is 95 m. Find the position of Hector from the starting point when spear hits

him. Given that Achilles can throw a spear at the speed of 30 m/s.

Achilles, running at the speed of 36 km/hr throws a spear at Hector who is running

towards Achilles at the speed of 27 km/hr. At this moment distance between them

is 95 m. Find the position of Hector from the starting point when spear hits

him. Given that Achilles can throw a spear at the speed of 30 m/s.

(a) 16 m

(b) 13.125 m

(c) 12.5 m

(d) 15 m

**Q14. A boat travels from point A to point B upstream and returns from point B**

to point A downstream. If the round trip of 216 km takes 15 hours and the speed

of the boat in still water is 12 kmph more than the speed of the stream, then

find the time taken for the downstream journey.

to point A downstream. If the round trip of 216 km takes 15 hours and the speed

of the boat in still water is 12 kmph more than the speed of the stream, then

find the time taken for the downstream journey.

(a) 12 hours

(b) 4 hours

(c) 8 hours

(d) 6 hours

**
**

**Q15. An**

artillery gun is fired twice at an interval of 25 seconds. A motorist moving

towards the gun heard the sounds of the gunfire at an interval 24 seconds. If

the speed of sound is 336m/s what is the speed of the car?

artillery gun is fired twice at an interval of 25 seconds. A motorist moving

towards the gun heard the sounds of the gunfire at an interval 24 seconds. If

the speed of sound is 336m/s what is the speed of the car?

(a) 21 m/s

(b) 13.44

m/s

m/s

(c) 16 m/s

(d) 14 m/s