1) The fare of a bus is Rs x for the first five kilometres and Rs 13 per kilometres thereafter. If a passenger pays Rs 2,402 for a journey of 187 kilometres, what is the value of X ?
a) Rs. 29
b) Rs. 39
c) Rs. 36
d) Rs. 31
e) None of these

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c) Rs. 36
Explanation
x + 182 × 13 = 2402
x + 2366 = 2402
x = 2402 – 2366
= Rs. 36
2) Vaithesh drove at a speed of 40kmph from college to home. Returning over the same route, he got stuck in traffic and took half an hour longer. Also, he could drive only at the speed of 60 kmph. How many kilometres did he drive each way.
a) 87 KM
b) 96 KM
c) 54 KM
d) 60 KM
e) None of these
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d) 60 KM

3) The ratio between the rate of speed of travelling of A and B is 2:3 and therefore A takes 20 minutes more than time taken by B to reach a particular destination. If A had walked at double the speed, how long would he have taken to cover the distance?

a) 60 minutes
b) 35 minutes
c) 20 minutes
d) 30 minutes
e) 50 minutes

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d) 30 minutes
Explanation
Let B and A takes T minutes and (T + 20) minutes respectively.
Speed Inversely proportional to time, So time taken by A and B is
2T + 40 = 3T
T = 40
A takes (T + 20) = (40 + 20) = 60 min. If A had walked at double the speed then the time taken by A is 30 minutes.

4) A, B and C can walk at the rates of 3,4 and 5 kms per hour respectively. They start walking at 1,2 and 3’o clock respectively. When B catches A, B sends him back with a message. When will C get the message?
a) 4.15
b) 5.15
c) 6.25
d) Cannot be determined
e) None of these

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b) 5.15
Explanation
B catches A at 5’o clock
Since A and C walking opposite, their speed must be added= 5+3=8km/hr
Distance between A and C is =2km
Time taken=2÷8=1/4 hr
So, the message will reach at 5.15 hr

5) Two trains each of 120 m length , run in opposite directions with the velocity of 40 m/s and 20 m/s respectively. How long will it take for the tail ends of the two trains to meet each other during the course of their journey?

a) 20s
b) 3s
c) 4s
d) 5s
e) None of these

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c) 4s
6) A train moving with the speed of 25m/s crosses a standing man in 16 s. What is the length of the train?

a) 160 m
b) 250 m
c) 320 m
d) 400 m
e) None of these

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d) 400 m
7) Two trains of equal length are running on a parallel lines in the same direction at 45 km/h and 35 km/h. The faster train crosses the slower train in 27s. The length of each train is?

a) 250 m
b) 300 m
c) 350 m
d) 400 m
e) None of these

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e) None of these

8) A goods train left from A to B at 3 pm at an average of 60 km/h. At 6 pm an express train also had left from A to B on a parallel track at an average speed of 90 km/h. How far from A, is the express train expected to overtake the goods train?

a) 360 KM
b) 630 KM
c) 450 KM
d) 540 KM
e) None of these

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d) 540 KM

9) Two cyclists start from the same place in opposite direction. One goes towards east at 24.5 km/h and the other goes towards west at 12.5 km/h. What time will they be 1073 km apart?

a) 14 hr
b) 18 hr
c) 24 hr
d) 28 hr
e) None of these

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e) None of these

10) There are two taps to fill a tank and a third to empty it. When the third tap is closed, they can fill the tank in 10 minutes and 12 minutes, respectively. If all the three taps be opened, the tank is filled in 15 minutes. If the first two taps are closed, in what time can the third tap empty the tank when it is full?
a) 8 min and 34 sec
b) 9 min and 32 sec
c) 7 min
d) 6 min
e) None of these

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a) 8 min and 34 sec