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Chapter–4 Tests-1

- A takes 4 min 50s while b takes 5min to
complete a race. If A beats B by 33 1/3m, the length of course is

a. 990m

b. 1100m

c. 750m

d. 1000m

- In a circular race track of length
100m, three persons A, B and C start together. A and B start in the same
direction at speed of 10 m/s and 8 m/s respectively, while C runs in the
opposite direction at 15 m/s. When will all the three meet for the first
time after the star?

a. after 4s

b. after 50s

c. after 100s

d. after 200s

- A does a work in 90 days, B in 40 days
and C in 12 days. They work one after another for a day each, starting
with A if the total wages received are Rs.360 and A, B and C share them
in the ratio of the work done, find their respective individual wages.

a. Rs.40, Rs.60 and Rs.260

b. Rs.36, Rs.81 and Rs.243

c. Rs.42, Rs.86 and Rs.232

d. None of these

- Neeta loses to Divya by 10m in a 100 m
race. Preeta loses to Divya by 15m in a 100n m race. By how many meters
will Neeta beat Preeta in a 400 m race if their speed remains constant in
all the reces?

a. 25m

b. 20m

c. 23.33m

d. 22.23m

- A does some work in 5 days for which B
takes only 4 days. C does the same work in 3 days for which B takes only
2 days, if all of them complete job working together and Rs. 7.40 is the
daily wages for their combined work, then A’s share will be

a. Rs.3

b. Rs.2.40

c. Rs.2

d. Rs.1.50

- Tim has finished fencing 2.3 of the
area of his rectangular garden that is 10 ft wide. When he finishes
fencing another 60 sq. ft of the garden would have finished ¾ of the job.
What is the length of the wall?

a. 60ft

b. 72ft

c. 600ft

d. 80ft

- A cistern can be filled by 2 pipes in
30 min and 40 min respectively. Both the pipes were turned on at the same
moment, but after some time the first was turned off and cistern was
filled in 10 min more. How long after the pipes have been turned on, was
the first one turned off?

a. 11min

b. 37/3min

c. 90/7min

d. 92/7min

- A typist can type 44 words per minute.
How long will she take to type a 100 page document, each page containing
32 lines?

a. 72/7min

b. 76/8min

c. 68.6min

d. can’t be determined

- Pipes P and Q can fill a tank in 12 min
and 16 min respectively. Both are kept open for X min and then Q is
closed and P fill the rest of the tank in 5 min. the time X after which Q
was closed is

a. 3min

b. 2min

c. 6min

d. 4min

- In a kilometer race, if A gives B as
40m start, A wins by 19 s. but if A gives B as 30s start, B wins by 40
m. Find the time taken by B to
runs 5000 m?

a. 150s

b. 450s

c. 750s

d. 825s

- Two trains start at the same time from
Aligarh and Delhi and Proceed towards each other at the rate of 16 km/hr
and 21 km/hr respectively. When they meet, it is found that one train has
traveled 60 km more than the other. The distance between the two stations
is

a. 445km

b. 444km

c. 440km

d. 450

- Ten men, 8women and 6 boys together can
complete a piece of work in 25 days. For how many days will 19 men, 20
women and 30 boys be occupied with 3 times the work? The work done in a
particular time by a man, a woman, and a boy are in the ratio 5:3:2.

a. 28

b. 25

c. 30

d. 32

- Walking at 4 km/hr, a boy reaches his
school 5min late. If he walks at 5 km/hr, he will be 2 ½ min to early.
Find the distance of the boy’s school from his home.

a. 3/2km

b. 2km

c. 5/2km

d. 3km

- Towns A and B are 100 km apart. A
school is to be built for 100 students of B and 30 students of A.
Expenditure on transport is Rs.1.20/km per student. If the total
expenditure on transport by all 130 students is to be as small as
possible, then the school should be built at

a. 33km from A

b. 33km from B

c. A

d. B

- A and B start together from the same
point on a circular track and walk in the same direction till they both
again arrive together at the starting point. A completes one circle in
224 s and B in 364s. how many times will A have passed B?

a. 4

b. 5

c. 6

d. 7

- A man can do a job in 10 days. A woman
can do it in 20 days. They work on alternate days beginning with the man.
The work will be completed in…………days.

a. 7

b. 13

c. 14

d. 15

- A, B and C are on a trip. A drives at
50 km/hr for 1 hr. B drives the next
2 hr at 48 km/hr. C drives the next 3 hr at 52 km/hr. they reach
their destination exactly after 6 hr. their mean spped was

a. 52km/hr

b. 356/7km/hr

c. 154/3km/hr

d. 151/3km/hr

- A man takes 7 hr in walking to a
certain place and riding back. He would have gained 2 hr by riding both
ways. The time he would take to walk both ways is

a. 6hr

b. 7hr 30min

c. 4hr 30min

d. none of these

- The work done by a man, a women and a
child are in the ratio 3:2:1. If daily wages of 20 men, 30 women and 36
children amount of Rs.78, what will be the wages of 15 men, 21 women and
30 children for 18 weeks?

a. Rs.7371

b. Rs.8645

c. Rs.9000

d. None of these

- Two workers A and B, completed a job in
10 days, but A did not work during the last 2 days. In the first seven
days they together completed 4/5 of the job. How long would A take to do
the job alon?

a. 16days

b. 15days

c. 14days

d. none of these

- Sujit plans to travel 180 km. he
travels first 30 km at 45 km/hr, next 60 km at 90 km/hr and remaining
distance at 75 km/hr. being a literature student he is unable to
calculate his average speed of the entire journey. Can you help him out
with the correct answer?

a. 79km/hr

b. 1350/19km/hr

c. 1369/19 km/hr

d. none of these

- Times taken by three grand prix
contestants to reach a terminal are in the ratio of 6:4:3. what will be
the ratio of speeds at which they cover the distance?

a. 4:6:9

b. 2:3:4

c. 2:3:8

d. none of these

- 2 pipes A and B can fill a tank in 4 hr
and 5 hr respectively. If they are turned on alternately for 1 hr each,
the tank will be filled in (assume that the pipe A turned on first)

a. 4hr 24min

b. 4hr

c. 4.5hr

d. 5hr

For Q
24-27: Answer the questions based on the
following information:

2 trains
started simultaneously at 9 am from A and B towards B and A. Both of them take
12 hr to reach their respective destinations.

24.
At what time will the 2 trains meet?

a. 3pm

b. 3.45pm

c. 4.2 pm

d. 6 pm

25.
If the first train met with an accident at 1 pm and thereafter travels at half
of its original speed, when will the 2 trains meet?

a.
2.40pm

b.
3.40pm

c.
4.20pm

d.
cannot be determined

26.
The first train met with an accident and traveled at half of its original speed
thereafter. It reached the destination 10 hr late. Find the time when the 2
trains would meet.

a.
3pm

b.
2pm

c.
4.2pm

d.
none of these

27.
the first train met with an accident and traveled at half of its speed
thereafter, and the two trains met at 4 pm find the time when the accident
occurred

a.
3.15pm

b.
11am

c.
9.3 am

d.
12 noon

28.
Sambhu can do ½ of the 3work in 8 days while kalu can do 1/3 of the work in 6
days. How long will it take for both of them to finish the work?

a.
88/17days

b.
144/17 days

c.
72/17 days

d.
8 days

29.
2 men are moving in opposite directions with speeds 36 km /hr and 18 km/hr in a
straight line. The faster man can see a person from 100 m. After seeing the
slower man he 2 s for reacting (applying breaks) and reduces his speed by 1
m/sec in each second. If the slower man is as efficient as the faster one in
all respects, find out the minimum rate of reduction in speed to avoid
collision. Assume that both stop at the same time.

a.
4/9m/s per s

b.
9/4 m/s per s

c.
2/9 m/s per s

d.
none of these

30.
A candle of 8 cm long burns at the rate of 3 cm in 3 hr, whereas another one of
10 cm long burns at the rate of 3 cm in 2 hr. What are the lengths of the
candles when they are of the same length? (Assume the rate of burning is
constant in both the cases.)

a.
3cm

b.
4cm

c.
4.5cm

d.
5cm

31.
Pipe A and B running together can fill a cistern in 6 minutes if B takes 5
minutes more than A to fill the cistern, then the time in which A and B will
fill the cistern separately will be respectively?

a.
15min, 20 min

b.
15min, 10min

c.
10min, 15min

d.
25min, 20min

32.
2 taps are running continuously to fill a tank. The 1

^{st}tap could have filled it in 5 hours by itself and the second one by itself could have filled it in 20 hours. But the operator failed to realize that there was a leak in the tank from the beginning which caused a delay of one hour in the filling of the tank. Find the time in which the leak would empty a filled tank.
a.
15 hours

b.
20hours

c.
25 hours

d.
40hours

33.
Walking at ¾ of his normal speed, a man takes 2 (1/2) hours more than the
normal time. Find the normal time.

a.
7.5h

b.
6h

c.
8h

d.
12h

34.
Shatabdi Express starts from Chennai toward Bangalore at 6 pm at a speed of
80km/hr. Chennai Express starts from Banglore towards. Chennai at 9 pm at a
speed of 40 km/hr. if the distance between Chennai and Banglore is 305 km, find
the time at which both the train meet.

a.
9:36:5pm

b.
9:35:40pm

c.
9:32:30pm

d.
9:41:20pm

35.
13 men and 7 boys can finish a job in 7 days, while 6 boys and 13 women can
finish the same job in 6 days. In how many days can 1 man, 1 boy and 1 boy and
1 woman woking together finish the same job?

a.
42

b.
54

c.
21

d.
63

36.
A motorboat takes 20 hours to travel 32 km upstream and 24 km downstream. Find
the time that it would take to travel 10 km upstream and 10 km downstream given
that its speed downstream is thrice its speed upstream.

a.
13/3 hours

b.
6 hours

c.
20/3 hours

d.
8 hours

37.
A man was traveling from A to B. he covered one- third of the distance at 15
km/hr and the remaining distance at 20 km/hr. at what uniform speed should he
travel such that he would now be able to go from A to B and return to A in the
same time that he previously took to travel from A to B?

a.
36km/hr

b.
48km/hr

c.
60km/hr

d.
45km/hr

38.
A and B can finish a job in 10 days, B and C can do it in 18 days. A started
the job, worked for 5 days, then B worked for 10 days and the remaining job was
finished by C in 15 days. In how many days could C alone can finish the whole
job?

a.
30

b.
15

c.
45

d.
24

39.
A ship started from point A and travel 50 miles downstream at 75 miles per hour
and returned to the starting point at a speed of 60 miles per hour. What is the
average speed of the ship for entire journey in miles per hour?

a.
40

b.
48

c.
50

d.
66 2/3

40.
Train A starts at station X at 5 pm and arrives station Y at 9 pm and train B starts at station Y at 7
pm and arrives station X at 10.10 pm At what time both the trains meet each
other?

a.
7:36pm

b.
7:53pm

c.
8:36pm

d.
8:56pm

41.
A person can row 6km an hour in still water. To cover a certain distance, it
takes him thrice as long to float along the stream as it does to row along the
stream. Find the speed of the stream.

a.
2kmph

b.
4kmph

c.
1kmph

d.
3kmph

42.
X would like to get his three house renovated. Singhania can renovate a house
in 10 days, Babu nin 6 days whil Keshav takes 15 days. Babu started the
renovation work but left after 4 days. Then, Singhania took up the work and
worked for 12 days before quitting. How many days will it take Keshav to
complete the remaining work?

a.
15

b.
16

c.
17

d.
18

43.
2 taps with emptying capacities in the ratio 1:2, empty a full tank in 2 hours
when opened together. How much time does the first tap alone take to empty half
the tank?

a.
1.5hours

b.
2hours

c.
3hours

d.
6hours

DIRECTIONS
FOR QUESTIONS 44 TO 46: Answer these questions on the basis of information
given below:

A
group of 10 workers can plough a field in 20 days. This group starts the work
and after every 2 days, one additional worker joins the group. Assume that the
capacity of each worker is the same.

44.
Find the time taken to complete the work.

a.
85/7days

b.
222/17days

c.
239/17days

256/17days

45.
How many workers were working on the day on which the work was completed?

a.
15

b.
16

c.
17

d.
18

46.
If each worker were to work at only half his capacity, then on which day will
the work be completed?

a.
22

^{nd}
b.
25

^{th}
c.
26

^{th}
d.
none of these

47.
Eight men and six women can earn Rs. 5000 in 10 days. Six men and five women
can earn Rs.7800 in 20 days. Find the time taken by one man and six women to
earn Rs.11000

a.
30days

b.
25days

c.
20days

d.
50days

48.
In a 500 m race, Ravi beats Ramesh by 5 seconds or 100 m. They decide to run
another race and this time Ravi gives Ramesh a head start of 200m. If Ravi’s
speed is twice his previous speed and Ramesh’s speed is one and half times his
previous speed, how far from the start should the winning post be so that they
finish at the same time?

a.
500m

b.
1000m

c.
1500m

d.
2000m

49.
Huckleberry Finn was rowing upstream on the Mississippi river. When he had covered
one kilometer from his starting point, his hat fell into the river and started
floating downstream. Finn continued to row upstream for five more minutes
before he realized that his hat had fallen off. He then turned back and caught
up with the hat just as it reached the starting point. Find the speed of the
river.

a.
6km/hr

b.
8km/hr

c.
12km/hr

d.
cannot be determined

50.
A man rides at the rate of 7 km/ hr but stops 10 min. to change the horses at
the end of every 14

^{th}kilometer. How long will he take to go a distance of 98km?
a.
15hr

b.
16hr

c.
17hr

d.
18hr

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