A person travels a distance AB of 15.625m in 5 seconds. In the last four seconds, every second he covers a distance equal to one-fourth of the total distance covered upto the end of the previous second. Find the distance covered in the 1st second.
A :
6.4m
B :
3.125m
C :
2.5m
D :
5m
Answer: A
Q. No. :
2
Question :
Two stations A and B are 110 km apart on a staright line. One train
starts from A at 7 a.m. and travels towards B at 20 kmph. Another train
starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At
what time will they meet?
A :
10 am
B :
10:30 am
C :
10:45 am
D :
11 am
Answer: A
Q. No. :
3
Question :
Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
A :
9
B :
10
C :
12
D :
20
Answer: B
Q. No. :
4
Question :
What is the distance covered by a cyclist in 20 seconds if he is travelling at a speed of 36 kmph?
A :
180 m
B :
200 m
C :
220 m
D :
240 m
Answer: B
Q. No. :
5
Question :
In a 500 ft race. Habib beats Akram by 60 ft. If Habib takes 5 paces for every 4 paces taken by Akram, what is the ratio of the length of Habib's pace to that of Akram?
A :
10:11
B :
11:10
C :
25:22
D :
22:25
Answer: A
Q. No. :
6
Question :
In covering a distance of 30 km, Abhay takes 2 hours more than Sameer.
If Abhay doubles his speed, then he would take 1 hour less than Sameer.
Abhay's speed is:
A :
5 kmph
B :
6 kmph
C :
6.5 kmph
D :
7 kmph
Answer: A
Q. No. :
7
Question :
It takes eight hours for a 600 km journey, if 120 km is done by train
and the rest by car. It takes 20 minutes more, if 200 km is done by
train and the rest by car. The ratio of the speed of the train to that
of the cars is:
A :
2:3
B :
3:4
C :
3:2
D :
4:3
Answer: B
Q. No. :
8
Question :
A farmer travelled a distance of 61 km in 9 hours. He travelled partly
on foot @ 4 km/hr and partly on bicycle @ 9 km/hr. The distance
travelled on foot is:
A :
14 km
B :
15 km
C :
16 km
D :
17 km
Answer: C
Q. No. :
9
Question :
In a flight of 600 km, an aircraft was slowed down due to bad weather.
Its average speed for the trip was reduced by 200 km/hr and the time of
flight increased by 30 minutes. The duration of the flight is:
A :
1 hr
B :
2 hr
C :
3 hr
D :
4 hr
Answer: A
Q. No. :
10
Question :
A boat travels 30 km upstream in 5 hour and 24 km downstream in 3 hour. Find the speed of the boat in still water and the speed of the water current?
A :
7kmph, 2kmph
B :
14kmph, 1kmph
C :
7kmph, 1kmph
D :
8kmph,2kmph
Answer: C
Q. No. :
11
Question :
Two persons R and S had to meet at a place 36km from where they were at that moment. S, who was given a head start of 2 hour, reached the destination 12 minutes earlier than R. If R travelled 18kmph faster than S, at what speed did R travel?
A :
20kmph
B :
24kmph
C :
25kmph
D :
30kmph
Answer: D
Q. No. :
12
Question :
A train overtakes two persons walking along a railway track. The first
one walks at 4.5 km/hr. The other one walks at 5.4 km/hr. The train
needs 8.4 and 8.5 seconds respectively to overtake them. What is the
speed of the train if both the persons are walking in the same direction
as the train?
A :
75 kmph
B :
81 kmph
C :
84 kmph
D :
90 kmph
Answer: B
Q. No. :
13
Question :
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. 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 :
11 kmph
C :
12 kmph
D :
14 kmph
Answer: C
Q. No. :
14
Question :
Ram and Gopi run towards each other starting from K and L respectively with respective speeds of 2kmph and 3kmph. After meeting each other, to reach L, if Ram takes 7 hours less than the square of magnitude of the time(in hours) taken by Gopi to reach K, Find the distance between K and L.
A :
25 km
B :
28 km
C :
30 km
D :
32 km
Answer: C
Q. No. :
15
Question :
A cat seeing a dog 100 m away turns around and starts running away at 24 kmph. The dog spot him one minute later and starts chasing the cat at a speed of 33 kmph. After how much time, from the start of the cat's run, will the chase end?
A :
160s
B :
220s
C :
260s
D :
280s
Answer: C
Q. No. :
16
Question :
A man reaches his destination which is 16km away, 9 min late, if he travels at 8kmph. What should his speed be if he wishes to reach 15 minutes ahead of the right time?
A :
10kmph
B :
12kmph
C :
9kmph
D :
15kmph
Answer: A
Q. No. :
17
Question :
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 :
35
B :
36
C :
38
D :
40
Answer: D
Q. No. :
18
Question :
A man complete a journey in 10 hours. He travels first half of the
journey at the rate of 21 km/hr and second half at the rate of 24 km/hr.
Find the total journey in km.
A :
220 km
B :
224 km
C :
230 km
D :
234 km
Answer: B
Q. No. :
19
Question :
A stone allowed to fall under gravity falls 5t^2 meters in t seconds. Find the distance travelled by the stone in the last two seconds before it reaches the ground, if the stone is dropped from a height of 180m.
A :
60m
B :
80m
C :
90m
D :
100m
Answer: D
Q. No. :
20
Question :
In a 100m race, Karna beats Kiran by 20m and kiran beats Kumar by 7.5 sec. What is Kiran's speed if Karna runs twice as fast as Kumar?
A :
7 m/sec
B :
8 m/sec
C :
9 m/sec
D :
10 m/sec
Answer: B
Q. No. :
21
Question :
The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2001, the price of commodity X was Rs. 4.20 and that of Y was Rs. 6.30, in which year commodity X will cost 40 paise more than the commodity Y ?
A :
2010
B :
2011
C :
2012
D :
2013
Answer: B
Q. No. :
22
Question :
A large cube is formed from the material obtained by melting three
smaller cubes of 3, 4 and 5 cm side. What is the ratio of the total
surface areas of the smaller cubes and the large cube?
A :
2:1
B :
3:2
C :
25:18
D :
27:20
Answer: C
Q. No. :
23
Question :
Free notebooks were distributed equally among children of a class. The
number of notebooks each child got was one-eighth of the number of
children. Had the number of children been half, each child would have
got 16 notebooks. Total how many notebooks were distributed?
A :
256
B :
432
C :
512
D :
640
Answer: C
Q. No. :
24
Question :
The percentage increase in the area of a rectangle, if each of its sides is increased by 20% is:
A :
40%
B :
42%
C :
44%
D :
46%
Answer: C
Q. No. :
25
Question :
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills
once in 2 shots. When B has missed 27 times, A has killed:
A :
30 birds
B :
60 birds
C :
72 birds
D :
90 birds
Answer: A
Q. No. :
26
Question :
One-third of Rahul's savings in National Savings Certificate is equal to
one-half of his savings in Public Provident Fund. If he has Rs.
1,50,000 as total savings, how much has he saved in Public Provident
Fund ?
A :
Rs 30,000
B :
Rs 45000
C :
Rs 60,000
D :
Rs 90,000
Answer: C
Q. No. :
27
Question :
The diagonal of a rectangle is 41 cm and its area is 20 sq. cm. The perimeter of the rectangle must be:
A :
9cm
B :
18cm
C :
20cm
D :
41cm
Answer: B
Q. No. :
28
Question :
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills
once in 2 shots. When B has missed 27 times, A has killed:
A :
30
B :
60
C :
72
D :
90
Answer: A
Q. No. :
29
Question :
David gets on the elevator at the 11th floor of a building
and rides up at the rate of 57 floors per minute. At the same time,
Albert gets on an elevator at the 51st floor of the same building and
rides down at the rate of 63 floors per minute. If they continue
travelling at these rates, then at which floor will their paths cross ?
A :
28
B :
30
C :
32
D :
37
Answer: B
Q. No. :
30
Question :
There are two examinations rooms A and B. If 10 students are sent from A
to B, then the number of students in each room is the same. If 20
candidates are sent from B to A, then the number of students in A is
double the number of students in B. The number of students in room A is:
A :
20
B :
80
C :
100
D :
200
Answer: C
Q. No. :
31
Question :
The price of 10 chairs is equal to that of 4 tables. The price of 15
chairs and 2 tables together is Rs. 4000. The total price of 12 chairs
and 3 tables is:
A :
3900
B :
3875
C :
3850
D :
3800
Answer: A
Q. No. :
32
Question :
A man has Rs. 480 in the denominations of one-rupee notes, five-rupee
notes and ten-rupee notes. The number of notes of each denomination is
equal. What is the total number of notes that he has ?
A :
45
B :
60
C :
75
D :
90
Answer: D
Q. No. :
33
Question :
Three numbers which are co-prime to each other are such that the product
of the first two is 551 and that of the last two is 1073. The sum of
the three numbers is:
A :
75
B :
81
C :
85
D :
89
Answer: C
Q. No. :
34
Question :
Eight people are planning to share equally the cost of a rental car. If
one person withdraws from the arrangement and the others share equally
the entire cost of the car, then the share of each of the remaining
persons increased by:
A :
1/7
B :
1/8
C :
1/9
D :
7/8
Answer: A
Q. No. :
35
Question :
A container contains 40 litres of milk. From this container 4 litres of
milk was taken out and replaced by water. This process was repeated
further two times. How much milk is now contained by the container?
A :
26.34 litres
B :
27.36 litres
C :
28 litres
D :
29.16 litres
Answer: D
Q. No. :
36
Question :
How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg
of sugar costing Rs. 7 per kg so that there may be a gain of 10% by
selling the mixture at Rs. 9.24 per kg?
A :
36 kg
B :
42 kg
C :
54 kg
D :
63 kg
Answer: D
Q. No. :
37
Question :
The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one
can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much
shall he have to pay ?
A :
Rs 1200
B :
Rs 2000
C :
Rs 2400
D :
Rs 3000
Answer: C
Q. No. :
38
Question :
In a regular week, there are 5 working days and for each day, the
working hours are 8. A man gets Rs. 2.40 per hour for regular work and
Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then
how many hours does he work for?
A :
160
B :
175
C :
180
D :
195
Answer: B
Q. No. :
39
Question :
To fill a tank, 25 buckets of water is required. How many buckets of
water will be required to fill the same tank if the capacity of the
bucket is reduced to two-fifth of its present ?
A :
35
B :
60
C :
62.5
D :
72
Answer: C
Q. No. :
40
Question :
A can contains a mixture of two liquids A and B is the ratio 7 : 5. When
9 litres of mixture are drawn off and the can is filled with B, the
ratio of A and B becomes 7 : 9. How many litres of liquid A was
contained by the can initially?