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(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Time & Distance (MCQ -12)
Basic Numeracy
Time & Distance (MCQ -12)
1. Mac travels from A to B a distance of 250miles in
5½ hours. He returns to A in 4 hours 30 minutes. His average speed is:
(a) 42 mph
(b) 49 mph
(c) 48 mph
(d) 50 mph
2. A boy goes to his school from his
house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If he
takes 5 hours in going and coming, the distance between his house
and school is:
(a) 8.5 km
(b) 5.5 km
(c) 6 km
(d) 9 km
3. The average speed of
a train in the onward journey is 25% more than that in the return
journey. The train halts for one hour on reaching the destination.
The total time taken for the complete to and for journey is 17
hours, covering a distance of 800 km. The speed of the train in the
onward journey is:
(a) 50 km/hr
(b) 53 km/hr
(c) 52 km/hr
(d) 56.25 km/hr
4. A man on tour travels first 160 km at
64 km/hr and the next 160 kin at 80 km/hr. The average speed for the
first 320 km of the tour is:
(a) 35.55 km/hr
(b) 38 km/hr
(c) 71.11 km/hr
(d) 75 km/hr
5. A boy rides his bicycle 10 km at an
average speed of 12 km/hr and again travels 12 km at an average
speed of 10 km/hr. His average speed for the entire trip is
approximately :
(a) 10.4 km/hr
(b) 10.8 km/hr
(c) 12 km/hr
(d) 14 km/hr
6. A car travels the
first one-third of a certain distance with a speed of 10 km/hr, the
next one- third distance with a speed of 20 km/hr, and the last
one-third distance with a speed. of 60 km/hr. The average speed of
the car for the whole journey is:
(a) 18 km/hr
(b) 34 km/hr
(c) 35 km/hr
(d) 39 km/hr
7. A motorist covers a
distance of 39 km in 45 minutes by moving at a speed of x kmph for
the first 15minutes, thenmoving at double the speed for the next 20
minutes and then again moving at his original speed for the rest of
the journey Then, x is equal to:
(a) 31.2
(b) 36
(c) 42
(d) 54
8. Mary jogs 9 km at a speed of 6 km
per hour. At what speed would she need to jog during the next 1.5
hours to have an average of 9 km per hour for the entire jogging
session?
(a) 9 kmph
(b) 13 kmph
(c) 12 kmph
(d) 15 kmph
9. A car traveling with 5/7 of its
actual speed covers 42 km in 1 hr 40min 48 sec. Find the actual
speed of the car.
(a) 17 km/hr
(b) 32 km/hr
(c) 31 km/hr
(d) 35 km/hr
10. A train running at 7/11 of its own
speed reached a place in 22 hours. How much time could be saved if
the train would have run at its own speed?
(a) 9 hours
(b) 8 hours
(c) 14 hours
(d) 20 hours
11. A man can reach a certain place in
30 hours. If he reduces his speed by 1/15th, he goes 10 km less in
that time. Find his speed.
(a) 7 km/hr
(b) 5 km/hr
(c) 52 km/hr
(d) 8 km/hr
12. Walking 6/7th of his usual speed, a
man is 12 minutes too late. The usual time taken by him to cover
that distance is:
(a) 2 hour
(b) 1 hr 12 min.
(c) 1 hr 15 min.
(d) 3 hr 20 min
13. A train when moves
at an average speed of 40 kmph, reaches its destination on time.
When its average speed becomes 35 kmph, then it reaches its
destination 15 minutes late. Find the length of journey.
(a) 50 km
(b) 60 km
(c) 70 km
(d) 90 km
14. Robert is traveling
on his cycle and has calculated to reach point A at 2 PM. if he
travels at 10 kmph; he will reach there at 12 noon if he travels at
15 kmph. At what speed must he travel to reach A at 1
P.M.?
(a) 8 kmph
(b) 13 kmph
(c) 12 kmph
(d) 16 kmph
15. If a train runs at 40 kmph, it
reaches its destination late by 11minutes but if it runs at 50 kmph,
it is late by 5 minutes only. The correct time for the train to
complete its journey is:
(a) 13 min.
(b) 17 min.
(c) 19 min.
(d) 22 min
16. A man covered a
certain distance at some speed. Had he moved 3 kmph faster, he would
have taken 40 minutes less. If he had moved 2 kmph, slower, he would
have taken 40 minutes more. The distance (in km) is :
(a) 353
(b) 368
(c) 372
(d) 40
17. What is the time taken by a train
running at 18km/h to cross a man standing on a platform, the length
of the train being 120 m?
(a) 22 s
(b) 44 s
(c) 12 s
(d) 24 s
18. A man is walking at a speed of 10
km/h. After every kilometer, he takes rest for 5min.Howmuch time
will he take to cover a distance of 5 km?
(a) 20 min
(b) 30 min
(c) 40 min
(d) 50 min
19. Walking 5/7 of his usual rate, a boy
reaches his school 6 min late. Find his usual time to reach school.
(a) 10 min
(b) 12 min
(c) 15 min
(d) 18 min
20. If I walk at 4 km/h, I miss the bus
by 10 min. If I walk at 5 km/h, I reach 5 min before the arrival of
the bus. How far I walk to reach the busstand?
(a) 5 km
(b) 5.5 km
(c) 6 km
(d) 7.5 km
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