Q.1 Satpal walks 2/3 km from a place P, towards east and then from there 1 5/7 km towards west. Where will he be now from P?

A) Distance of 1 1/21 km towards west of P

B) Distance of 1 7/21 km towards west of P

C) Distance of 1 1/21 km towards east of P

D) Distance of 1 7/21 km towards east of P

Ans. A

2/3 + (-1 5/7) = 2/3 + (-12)/7

= 2 * 7 / 3 * 7 + (-12) * 3 / 7 * 3

14-36 / 21 = 1 1/21

Since it is negative, it means Satpal is at a distance 1 1/21km towards west of P.

Q.2 If a bus travels 160 km in 4 hours and a train travels 320 km in 5 hours at uniform speeds, then what is the ratio of the distances travelled by them in one hour?

A) 8 : 5

B) 5 : 8

C) 4 : 5

D) 1 : 2

Ans. B

Required ratio= Distance travelled by bus in 1 hr/ Distance travelled by train in 1 hr

= 160/4 / 320/5 =

40/64 =5/8= 5:8

Q.3 A thief running at 8 km/hr is chased by a policeman whose speed is 10 km/hr. If the thief is 100 m ahead of the policeman, then the time required for the policeman to catch the thief will be

A) 2 min

B) 3 min

C) 4 min

D) 6 min

Ans. B

60*100/2000=3 min.

Q.4 The tank-full petrol in Arun’s motor-cycle lasts for 10 days. If he starts using 25% more everyday, how many days will the tank-full petrol last?

A) 5

B) 6

C) 7

D) 8

Ans. D

125:100 //10:x

Or x= 8

Q.5 A person can walk a certain distance and drive back in six hours. He can also walk both ways in 10 hours. How much time will he take to drive both ways?

A) Two hours

B) Two and a half hours

C) Five and a half hours

D) Four hours

Ans. A