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1.
A traveler walks a certain distance. Had he gone half a
kilometer an hour faster, he would have walked it in 4/5 of the time, and had
he gone half a kilometer an hour slower, he would have walked 2 ½ hr longer.
What is the distance?

a.
10km

b.
15km

c.
20km

d.
data insufficient

2.
If the distance traveled (s) in time (t) by a particle is
given by the formula s=1+2t+3t2+4t3, then what is the distance traveled in the
4

^{th}second of its motion?
a.
141m

b.
171m

c.
243m

d.
313m

3.
Rajdhani express leaves Chennai towards Delhi at 3.10pm
and travels uniformally at 120km/hr. August Kranti Rajdhani Express leaves
Delhi towards Mumbai at 12.30pm and travels uniformally at 80km/hr. Both the
trains cross at Baroda at 4.30pm On a particular day, Rajdhani leaves at
3.30pm. when will the two trains cross?

a.
4.32pm

b.
4.36pm

c.
4.28pm

d.
4.40pm

4.
Shyam went from Delhi to Shimla via Chandigarh by car.
The distance from Delhi to Chandigarh is ¾ times the distance from chandigarh
to shimla. The average speed from Delhi to Chandigarh was half as that from
Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr,
what was the average speed from Chandigarh to Shimla?

a.
39.2km/hr

b.
63km/hr

c.
42km/hr

d.
none of these

5.
A non stop bus to Amritsar overtakes an autorickshaw that
is also moving towards Amritsar at 10am. The bus reaches Amritsar at 12.30pm
and starts its return journey after 1hr. on the way back it meets the
autorickshaw at 2pm. At what time will the autorickshaw reach Amritsar?

a.
2.30pm

b.
3pm

c.
3.15pm

d.
3.30pm

6.
A and B starts from the same time to run in opposite
directions round a circular path of 550 yards in length. A gives B a start of
100 yards. They pass each other when A has run 250 yards. Who will come first
to the starting point and what distance would they be apart then?

a.
A, 10yards

b.
B, 10yards

c.
A, 20yards

d.
None of these

7.
Sanjay and Kamal run 1 km race on a circular track.
Sanjay can complete a round in 25 s while Kamal runs the same in 20 s. If they
meet 10 meet 10 times over the entire race, what is the circumference of the
track?

a.
40m

b.
100m

c.
80m

d.
20m

8.
A finishes a work in a certain number of days. He gets
two assistants who work ¾ as fast as him. If all the three work together, than
in what fraction of time would they finish the job when compared to A working
alone?

a.
5/3

b.
3/5

c.
2/3

d.
2/5

9.
A man is traveling along the line 3x+5y=7 in XY plane at
the speed of 1.02 units per minute. How much time will he take to go from the
point at which x=-2 to the point at which x=5?

a.
6min 52 s

b.
7min 10 s

c.
8min

d.
8min 25 s

10. A man walks
to his office at a speed of 5km/hr and reaches office 10min later than his
normal time. The next day, he walks at a speed of 7km/hr and reaches 2 min
earlier than the normal time. What is his normal time to reach the office?

a.
30min

b.
40min

c.
32min

d.
42min

11. A and B are
200m apart on a straight road. They start moving towards each other, A at 10
m/min and B at 2 m/min. after A has
covered 30 m he takes a left turn, move 10 min; then takes a right turn, moves
20 min; and then turns right again o meet the road. When A is back on the road
again, how far are A and B?

a.
0 m

b.
10 m

c.
60 m

d.
30m

12. A frog is
stuck at the bottom of a well. Each time it leaps to come out, it covers half
the distance left and half a metre. If it is out in 4 leaps, the height of the
wall is

a.
12m

b.
15m

c.
18m

d.
20m

13. A contractor
receives a certain sum every week for paying wages. His own capital together
with the weekly sum enables him to pay 45 men to 52 weeks. If the had 60 men at
same wages his capital and weekly sum would suffice for 13 weeks, then find how
many men can be maintained for 26 weeks.

a.
60

b.
52

c.
50

d.
65

14. A train
without stopping travels at 60 km/hr and with stoppages at 40 km/hr. what is
the time taken for stoppages on the route of 300km?

a.
10hr

b.
20hr

c.
5hr

d.
2.5hr

15. A and B
working together could complete a job in 5 days. If A had work twice as fast as
he normally works and B half as fast as he normally works, they would have
completed the work in 4 days. How many days would A takes to do the work if he
had worked alone?

a.
12

b.
15

c.
10

d.
8

16. A man walks
from P to Q and cycles from Q to P, a distance of 37.5km in all, spending a
total of 2hr 40min. he would have taken 2/3 hr less had he chosen to cycle the
entire distance. What would have been the time taken by him if he had chosen to
walk both the ways?

a.
3.5hr

b.
3.20hr

c.
3.66hr

d.
3.75hr

17. A ship is
moving at a speed of 30 km/hr to know the depth of the ocean beneath it, it
sends a radio wave which travels at a speed of 200m/s. the ship receives back
the sign after it has moved 500m. What is the depth of the ocean?

a.
4km

b.
8km

c.
6km

d.
12km

18. A man
travels three-fifths of a distance AB at a speed of 3a and the remaining at a
speed of 2b. if he goes from B to A and comes back at a speed of 5c in the same
time, then,

a.
1/a+1/b+1/c

b.
a+b=c

c.
1/a+1/b=2/c

d.
none of these

19. A man
travels 35km partly at 4km/hr and partly at 5km/hr. if he covers the former
distance at 5km/hr. he could cover 2 km more in the same time. The time taken
to cover the whole distance at the original rate is

a.
4.5hr

b.
7.5hr

c.
7.4hr

d.
9hr

20. Assume that
the distance that a car runs on 1 L petrol is inversely proportional to the
square of the speed at which it is driven. It gives a run of 25km/L at a speed
of 36 km/hr. At what speed should it be driven to get a run of 36km/l?

a.
36km/hr

b.
30km/hr

c.
42km/hr

d.
none of these

21. A young man
can do a job in 10 days; his father takes 15 days while his grandfather
finishes it in 20 days. They worked together for 2 days. The young man left the
job. His father left the job a day earlier than the completion of the work. The
job was completed in

a.
52/7days

b.
45/7days

c.
38/7days

d.
none of these

22. In a running
race, Pallavi gives a head start of 350 m to Richa. If the ratio of the speeds
of Pallavi and Richa is 20:13, how far must the winning point be so that
Pallavi and Richa finish the race at the same time?

a.
1km

b.
2km

c.
3km

d.
none of these

23. After
traveling 30min, a train met with an accident and was stopped there for 45min.
due to the accident, its speed reduced to 2/3 of its former speed and the train
reached its destination 1 hr 30 min late. Had the accident occurred 60km after
the point it occurred earlier, the train would have reached 30 min earlier. The
length of the journey is

a.
90km

b.
120km

c.
150km

d.
180km

24. If a snail
creeps 2 ft 3 inches up a pole in first 12 hr and slips down 1 ft 4 inches in
subsequent 12 hr, how many hours will it takes to get to the top of the pole,
if the height of the pole is 25 ft?

a.
500hr

b.
523.93hr

c.
611.11hr

d.
none of these

25. A dog at
point A goes in pursuit of a fox 30 m away. The dog takes a leap of 2m against
1 m long leaps of the fox. If the dog makes two leaps to the fox’s three, at
what distance from A will the dog catch up with the fox?

a.
100m

b.
110m

c.
105m

d.
120m

26. If it takes
40 days for 40 cows to graze a park, and 60 days for 30cows to do the same, how
many days will it takes 20 cows to graze the park, given that the grass is also
growing everyday?

a.
240days

b.
120days

c.
can not be determined

d.
none of these

27. A and B run
a 1760 m race ending in a dead heat. At first A run 20% faster than B. B then
quickens his pace, and for the remaining distance runs 20% faster than A. when
B quickens his pace, A has already run

a.
800m

b.
1000m

c.
790m

d.
960m

28. A tank of
3600 cu m capacity is being filled with water. The delivery of the pump
discharging the tank is 20% more than the delivery of the pump filling the same
tank. As a result, twelve minutes more time is needed to fill the tank than to
discharge it. Determine the delivery of the pump discharging the tank.

a.
40m3/min

b.
50m3/min

c.
60m3/min

d.
89m3/min

29. A motorboat
went downstream for 28km and immediately returned. It took the boat twice as
long to make the return trip. If the speed of the river flow were twice as
high, the trip downstream and would take 672 minutes. Find the speed of the
boat in still water and speed of the river flow.

a.
9km/hr, 3km/h

b.
9km/, 6km/h

c.
8km/h, 2km/h

d.
12km/hr, 3km/h

30. A boat sails
down the river for 10 km and then up the river for 6km. the speed of the river
flow is 1km/hr. what should be the minimum speed of the boat for the trip to
take a maximum of 4 hours?

a.
2km/hr

b.
3km/hr

c.
4km/hr

d.
5km/hr

31. In a stream,
B lies in between A and C such that it is equidistant from both A and C. A boat
can go from A to B and back in 6 h 30 minutes while it goes from A to C in 9 h.
How long would it take to go from C to A?

a.
3.75h

b.
4h

c.
4.25h

d.
4.5h

32. A lift in a
building can move upwards with a speed 1.8 m/s when it is empty but the speed
decreases when there are people in the lift. The decrease in the upward speed
is directly proportional to the square root of the number of people it carries.
If the speed of the lift becomes 0.9 m/s when it carries 4 people upwards, then
what is the maximum number of people that the lift can carry upwards?

a.
15

b.
16

c.
8

d.
9

For
Q 33 – 35: These questions are based on the data given below;

For
a new game called Khi- Khi, the court is in the form of a right – angled
triangle (PQR), which is divided into two halves by the line segment QS shown
below.

Two
boys Amit and Bittu start from R towards P at t=0. Amit goes from R to Q and
then to P at an average speed 112 ft/min, whereas Bittu takes a direct route R
to P and travels from R to S at an average speed of 60 ft/min and from S to P
at an average speed of 120 ft/min. both of them reached P at the same time. It
is also known that the length of PQ, which is longer than QR, is 360 ft.

33. What is the
average speed of Bittu from R to P (in ft/min)?

a.
75

b.
72

c.
80

d.
90

34. The total
distance (in ft) traveled by Bittu is

a.
420

b.
450

c.
600

d.
cannot be determined

35. What is the
length of the line segment QS?

a.
225

b.
270

c.
300

d.
cannot be determined

36. To complete
certain work, Bhavesh takes three-fourth the time that Neelesh takes or double
the time that Chandu takes. If all three of them working together take 5days to
complete the work, in how many days will Bhavesh and Chandu together compete a
work which is four times as time consuming as the previous work?

a.
20days

b.
24days

c.
25days

d.
insufficient data

37. A car uses 5
litres of petrol to travel 15km. Another car can travel, 9km on 2 litres of
petrol. A man travels for 1000km in a month – partly by the first car and the
rest by the second – and uses same amount of petrol in both the cars. How long
did he travel by the first car (in km.)?

a.
600

b.
400

c.
200

d.
500

38. An hour
after Ashish started from his college towards Tanvir’s home, a distance of
53km, Tanvir started from her home on the same road towards Ashish’s college.
If Ashish’s speed was 4 km per hour and Tanvir’s was 3 km/hr, how many km from
Tanvir’s home did the two meet?

a.
24

b.
22

c.
21

d.
19.5

39. Rishab bajaj
is to complete two assignments by 10.30pm. If each assignments takes 25minutes
and only one assignment can be done at a time, what is the latest time at which
Rishab can start the work so that it is completed on time?

a.
9.40am

b.
9.50am

c.
10.05am

d.
none of these

40. Ram finishes
a work in 7 dyas; Rahim finishes the same in 8 days and Robert in 6 days. They
take turns to finish the work. Ram worked on the first day, Rahim on the second
day and Robert on the third and then again Ram so on. Who was working on the
last day when work got finished?

a.
Ram

b.
Rahim

c.
Robert

d.
Rahim And Robert

41. A takes 6
hours and B takes 4 hours to read a book. Both started at the same time to read
the book. After how many hours the number of pages to be read by A , is twice
that of B?

a.
2hr

b.
1hr

c.
2hr 20min

d.
3 hr

42. To complete
a piece of work, A alone takes m times as many days as B and C together take, B
alone takes n times as many days as A and C together take and C alone takes p
times as many days as A and B together takes. What is the ratio of the times taken
by A, B and C?

a.
1:1:1

b.
m:n:p

c.
(m+1) : (n+1)

d.
(m-1): (p-1)

43. Two skaters
start from the opposite ends of a 90 km straight track sand travel – one at a
rate of 108 km/h and the other at 75km/h. they skate back and forth on the
track for 10 hours. Allowing no loss of time at the turns, what is the number
of times that they pass each other?

a.
24times

b.
21times

c.
12times

d.
none of these

44. The distance
between two stations Ramgarh and Pratapgarh is 100km. Janata Express leaves
Ramgarh to Pratapgarh at 3 pm at a constant speed. One hour later, howrah mail
leaves Pratapgarh to Ramgarh and travels at a constant speed of 40km/h. Each
train makes only one stop at a station located 10km away from its starting
point and remains there for 15 minutes. Which train is nearer to Ramgarh when
they meet?

a.
Janata Express

b.
Howrah Mail

c.
Both are equidistant from Ramgarh

d.
Cannot be determined from the given data.

45. 3 feeder
pipes are connected to a swimming pool. The time taken to fill the pool by the
second pipe individually is the same as the time taken by the first and the
third pipe when operated simultaneously. The first pipe fills the pool five
hours faster than the third pipe and four hours slower than the second pipe.
The number of hours required by the second pipe to fill the pool individually
will be

a.
5

b.
15

c.
10

d.
6

46. 2 pipes P
and Q take 20 minutes and 30 minutes respectively to fill a tank. Both are
opened simultaneously. Due to some obstruction in pipes only 5/6 and ¾ of total
quantities of water flows through pipes P and Q. after some time, the
obstructions were removed. The tank was filled in 6 more minutes. Find the time
for which the obstruction was present.

a.
9minutes

b.
7.5minutes

c.
5.5minutes

d.
6minutes

47. A frog sees
a snake 300m behind it. It start moving away from it at 20 m/sec. 35 seconds
later the snake observes the from and start chasing it at 30 m/sec. What is the
distance traveled by the frog after the snake starts chasing it and how long
will it take for the snake to catch the frog?

a.
2km, 1min 40sec

b.
2km, 1min 20sec

c.
4km, 1min 30sec

d.
5km, 1min 10sec

48. There are
four pipes, P1, P2,P3 and P4,, which can fill a tank in 10 minutes, 20 minutes,
40 minutes and 45 minutes respectively. Two of these four pipes are now
converted into emptying pipes. If exactly one of the emptying pipes is operated
along with exactly one of the filling pipes, then the time in which they can
fill the tank is 28/9 times that taken by the remaining 2 pipes when operating
together. Of these 2 pairs of pipes, find the pair of pipes that take lesser
time to fill the tank.

a.
P1P2

b.
P2P3

c.
P3P1

d.
P1P4

49. 2 persons, A
and B, are walking around a circular track of length 1800m, at speeds of 40
m/minute and 50 m/minute respectively. Both of them start in the same direction
and at the same time, but B reverses his direction every time he completes one
full round. After how much time from the start will they meet for the first
time?

a.
180minutes

b.
45minutes

c.
40minutes

d.
36minutes

50. Tap A can
fill an empty tank in 9 hours. 2 emptying taps tap B and tap C, can empty it in
18 hours and 27 hours respectively, if they are fitted at the bottom of the
tank. But tap is fitted at 1/3

^{rd}of the height of the tank and tap C is fitted at 2/3^{rd}of the height of the tank. In how much time will the tank be filled, if all the three taps are opened simultaneously when the tank is empty?
a.
27 hours

b.
26 2/3hours

c.
25 1/2hours

d.
24hours

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