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101.

A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machi

Answer»

1.00 pm



(P + Q + R)'s 1 hour's work = ( 1/8 + 1/10 + 1/12 ) = 37/120 .

Work done by P, Q and R in 2 hours = ( 37/120 X 2 ) = 37/60 .

REMAINING work = ( 1 - 37/60 ) = 23/60 .

(Q + R)'s 1 hour's work = ( 1/10+ 1/12 ) = 11/60 .

Now, 11/60 work is done by Q and R in 1 hour.

So, 23/60 work will be done by Q and R in ( 60/11 x 23/60 ) = 23/11 hours is nearly EQUAL to 2 hours.

So, the work will be finished approximately 2 hours after 11 A.M., i.e., around 1 P.M.

102.

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

Answer»

10 DAYS



No. of days TAKEN by B and C together to finish the work = 9 × 12/21 = 36/7 days 

Their 1 DAY work = 7/36 

So, their 3 day’s work = 7/36 × 3 = 7/12 

The remaining work = 5/12 

A’s 1 day’s work = 1/24 

To finish the remaining 5/12 of the work, the No. of days taken by A = 5/12/1/24 

= 5/12 ×24= 10 days.

103.

A person take 6 minutes to fill a bottle. If from 11.40 am to 1.30 pm, 2145 bottles to be filled how many persons should be employed for this job ?

Answer»

117



Total TIME = 110 MINUTES 
Time required 2145 BOTTLES = 2145 x 6
∴ Number of PERSONS required = 2145 x 6/110 = 117

104.

A, B and C together earn Rs. 300 per day, while A and C together earn Rs. 188 and B and C together earn Rs. 152. The daily earning of C is:

Answer»

 RS. 40



NA

105.

A man, a woman and a boy can complete a job in 3, 4 and 12 days respectively. How many boys must assist 1 man and 1 woman to complete the job in 1/4 of a day?

Answer»

41



(1 man + 1 woman)'s 1 day work = (1/3 + 1/4) = 7/12 Work done by 1 man and 1 woman in 1/4 day = (7/12 * 1/4) = 7/48 

Remaining work = (1 - 7/48) = 41/48

Work done by 1 boy in 1/4 day = ( 1/12 * 1/4) = 1/48

Number of BOYS REQUIRED = 41/48 * 41 = 41.

106.

A and B together can plough a field in 10 hours but by himself A requires 15 hours. How long would B take to plough the same field?

Answer»

30 hrs



If A and B together can do a piece of work in x days and A alone can do the same work in y 

days, then B alone can do the same work in x y/ y – x days. 

Therefore, the No. of hours REQUIRED by B = 10 × 15/ 15 – 10 = 150/5 = 30 hours.

107.

45 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day?

Answer»

55



(45 * 8)/30 = (x * 6)/50 => x =100

100 – 45 = 55

108.

A train 800 metres long is running at the speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in metres) is

Answer»

500 m



500 m

109.

A tank is normally filled in 18 hours but due to a leak in the bottom, it takes 3 hours more to fill completely. If the tank is filled completely, in what time will the leak empty it completely ?

Answer»

126 hours



Let the time taken by the leak in emptying the TANK be 1 hours.
In one hour, the PIPE can fill 1/18 part of the tank and the leak can EMPTY 1/x part of the tank. 
∴ part of the tank filled in 1 hour
= 1/18 - 1/x = x-18/18x
So, it will be filled completely in 
1/(x-18/18x) hours = 18x/x-18 hours
∴ 18x/x-18 = 18 + 3 = 21
or 18x = 21x - 378
∴ x = 378/3 = 126 hours

110.

A’s 2 days work is equal to B’s 3 days work. If A can complete the work in 8 days then to complete the work B will take:

Answer»

12 days



NA

111.

A and B can do a piece of work in 7 days. With the help of C they finish the work in 5 days. C alone can do that piece of work in?

Answer»

30 DAYS



C = 1/5 – 1/6 = 1/30 => 30 days

112.

A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

Answer»

75/2 days



Whole work is DONE by A in ( 20 x 5/4 ) = 25 days.

Now, ( 1 - 4/5 ) i.e., 1/5 work is done by A and B in 3 days.

Whole work will be done by A and B in (3 x 5) = 15 days
.
A's 1 day's work = 1/25 , (A + B)'s 1 day's work = 1/15
.
Therefore B's 1 day's work = ( 1/15 - 1/25 ) = 4/150 = 2/75
.
So, B ALONE would do the work in 75/2 days.

113.

A and B can together finish a work 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the work?

Answer»

40 DAYS



Let 1 MAN's 1 day's work = X and 1 woman's 1 day's work = y.

Then, 4x + 6y = 1/8 and 3x + 7y = 1/10 .

Solving the TWO equations, we get: x = 11/400 , y = 1/400

1 woman's 1 day's work = 1/400 .

10 WOMEN's 1 day's work = 1/400 x 10 = 1/40 .

Hence, 10 women will complete the work in 40 days.

114.

A work which could be finished in 9 days was finished 3 days earlier after 10 more men joined. The number of men employed was?

Answer»

20



X ------- 9

(x + 10) ---- 6

x * 9 = (x + 10)6

x = 20

115.

Ramesh can do a work in 24 days. With the help of his friend Shyam, he can do the same work in 15 days. If they get Rs. 14240 for that work, what is the share of Shyam ?

Answer»

Rs. 5340



Ramesh's one day's work = 1/24 and (Ramesh + Shyam)'s one day's work = 1/15.
∴ Shyam's one day's work = 1/15 - 1/24
= 8-5/120 = 3/120= 1/40
ie Shyam ALONE can FINISH the work in 40 days
∴ Ramesh's SHARE : Shyam's share = 40 : 24
= 5 : 3
∴ Shyam's share = 14240/3 X 3 = 5340

116.

If 8 men or 12 women can reap a field in 35 days, how many days will 5 men and 3 woman take to reap the same field ?

Answer»

40 days



8 MEN can REAP the field in 35 days.
One man can reap the field in 35 x 8 days.
Also, given Work DONE by 8 men = work done by 12 women.
Or work done by 2 men = work done by 3 women.
∴ work done by 5 men and 3 women = work done by 5 men plus 2 men
= work done by 7 men 
Now, 7 men can reap the field in = 35x8/7= 40 days.

117.

A tank is completely filled in 16 hours but takes four hours more to fill because of a leak in the bottom of the bank. What time will the leak take to empty the completely filled tank ?

Answer»

80 hrs



Let the time TAKEN by the leak to empty the FULL tank be x hourse.
So, part of the rank filled in ONE hour is 1/16 - 1/x = x-16/16X
∴ Tank will be filled in 16x/x-16 hourse.
∴ 16x/x-16 = (16 + 4) = 20
∴ 16x = 20x - 320
∴ x = 320/4 = 80 hourse

118.

7 men and 5 women can earn Rs. 2730 in 6 days and 8 men and 9 women can earn Rs. 2448 in 4 days. In what time will 5 men and 12 women together earn Rs. 3927 ?

Answer»

7 days



Let the DAILY earning of a man and that of woman be x and y.
7x + 5y = 2730 ÷ 6 = 455 ..... (I)
8x + 9Y = 2448 ÷ 4 = 612 .....(II)
(I)x9 -(II) x 5 
63X + 45y = 4095
40x + 45y = 3060
23x

119.

A person 'X' can do a piece of work in 75 days and 'Y' can do the same piece of work in 45 days. They work together for 15 days and then 'X' leaves. In how many days will' Y' finish the work ?

Answer»

21 DAYS



X's one day's WORK = 1/75 and
Y's one day's work = 1/45.
∴ (X + Y)'s one day's work 
= 1/75 + 1/45 and (X + Y)'s 15 day's work 
= [1/75 + 1/45] x 15 = 8/15
∴ Remaining work = 1 - 8/15 = 7/15
∴ Y will do the rest of the work in 45 x 7/15 = 21 days

120.

A does half as much work as B in three ?fourth of the time. On the off chance that together they take 18 days to finish the work, the amount of time might B takes to do it?

Answer»

30 days



NA

121.

A can do a bit of work in 24 days while B alone can do it in 16 days. With the help of C, they can complete the work in 8 days. C alone can take every necessary step in

Answer»

 48 days



NA

122.

A can do a bit of work in 10 days and B can do it in 20 days. They begin the work together . Be that as it may, following 5 days, A leaves off. B will do the remaining work in

Answer»

5 days



NA

123.

A and B together can finish a bit of work in 12 days, B and C can do it in 20 days and C and A do it 15 days. A, B and C together can finish it in

Answer»

10 days



NA

124.

9 men working 7 hours a day can finish a bit of work in 15 days. In how long can 6 men functioning for 9 hours a day, complete the same bit of work?

Answer»

 35/2 days



NA

125.

A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take t

Answer»

18 days



2(A + B + C)'s 1 day's work = ( 1/30 + 1/24 + 120 ) = 15/120 = 1/8 .

THEREFORE, (A + B + C)'s 1 day's work = 1/2*8 = 1/16 .

Work DONE by A, B, C in 10 days = 10/16 = 5/8 .

Remaining work = ( 1 - 5/8 ) = 3/8 .

A's 1 day's work = ( 1/16 - 1/24 ) = 1/48 .

Now, 1/48 work is done by A in 1 day.

So, 3/8 work will be done by A in ( 48 x 3/8 ) = 18 days.

126.

If 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days. Compare the daily work done by a man with that of a boy.

Answer»

2:1



12M + 16B ----- 5 days

13M + 24B ------- 4 days

60M + 80B = 52M + 96B

8M = 16B => 1M = 2B

M: B = 2:1

127.

A and B can do a work in 5 days and 10 days respectively. A starts the work and B joins him after 2 days. In how many days can they complete the remaining work?

Answer»

2 DAYS



Work done by A in 2 days = 2/5

Remaining work = 3/5

Work done by both A and B in ONE day = 1/5 + 1/10 = 3/10

Remaining work = 3/5 * 10/3 = 2 days.

128.

Some persons can do a piece of work in 12 days. Two times the number of these people will do half of that work in?

Answer»

3 DAYS



12/ (2 * 2) = 3 days

129.

Two pipes X and Y can separately fill a cistern in 18 and 24 hours respectively. If they are turned on alternately for one hour each, how long will it take to fill the cistern?

Answer»

20 hours 30 min



1/18 + 1/24 = 7/72

72/7 = 10 2/7

7/72 * 10 = 35/36 ----- 20 hours

WR = 1 – 35/36 = 1/36

1 H ----- 1/18

? ----- 1/36 = 1/2 hours

=> 20 1/2 hours

130.

A and B can do a work in 12 days, B and C in 30 days and C and A in 36 days. In how many days will the work be completed, if all three of them work together?

Answer»

180/13 DAYS



One DAY work of A and B = 1/12

One day work of B and C = 1/30

One day work of C and A = 1/36

2(A + B + C) = 1/12 + 1/30 + 1/36

2(A + B + C) = 13/90

(A + B + C) = 13/180

Number of days required = 180/13 days.

131.

If 5 men and 2 boys working together, can do four times as much work per hour as a man and a boy together. Find the ratio of the work done by a man and that of a boy for a given time?

Answer»

2:1



5M + 2B = 4(1M + 1B)

5M + 2B = 4M + 4B

1M = 2B

The required RATIO of WORK DONE by a man and a boy = 2:1

132.

P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work?

Answer»

16 DAYS



P = 3Q

P + Q = 3Q + Q = 4Q

These 4Q PEOPLE can do the work in 12 days, which means Q can do the work in 48 days.

Hence, P can do the work in 16 days.

133.

A, B and C can do a piece of work in 24 days, 30 days and 40 days respectively. They began the work together but C left 4 days before the completion of the work. In how many days was the work complete

Answer»

11 DAYS



One day work of A, B and C = 1/24 + 1/30 + 1/40 = 1/10 Work done by A and B together in the last 4 days = 4*(1/24 + 1/30) = 3/10

Remaining work = 7/10

The NUMBER of days REQUIRED for this initial work = 7 days.

The total number of days required = 4 + 7 = 11 days.

134.

A can finish a work in 18 days and B can do the work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work

Answer»

6 days




B’s ONE DAY’s work = 1/15 

B’s 10 day’s work = 1/15 × 10 = 2/3 

Remaining work = 1/3 

A’s 1 day work = 1/18 

No. of days A take to finish 1/3 of the work = 1/3/1/18 = 1/3 × 18 = 6 days.

135.

If 12 men working 5 hours a day can do a work in 90 days. Then 5 men working 10 hours a day can do this work in how many days?

Answer»

108 Days



NA

136.

A, B and C can do a piece of work individually in 8, 10 and 15 days, respectively. A and B start working but A quits after working for 2 days. After this, C joins B till the completion of work. In how

Answer»

53/10 days



NA

137.

‘A’ can complete a piece of work in 12 days ‘A’ and ‘B’ together can complete the same piece of work in 8 days. In how many days can ‘B’ alone complete the same piece of work?

Answer»

 24 days



NA

138.

30 men can do a work in 40 days. When should 20 men leave the work so that the entire work is completed in 40 days after they leave the work?

Answer»

10 days



Total work to be DONE = 30 * 40 = 1200

Let 20 men LEAVE the work after 'P' days, so that the remaining work is completed in 40 days after they leave the work.

40P + (20 * 40) = 1200

40P = 400 => P = 10 days

139.

A tank is normally filled in 12 hrs but takes four hrs longer to fill because of a leak in its bottom.

Answer»

48 hrs



Suppose the leak EMPTY it in t hrs.
Portion of the TANK FILLED in one HR = 1/2 - 1/t

140.

A, B & C can complete a piece of work in 24, 6 12 days. Respectively, working together, they will complete the same wok in -

Answer»

3 3/7 Days



NA

141.

How many packets do 2 machines pack in one day ? I Each machine runs for 12 hours daily. II 5 machines pack 10000 packets in 5 days.

Answer»

If the QUESTION can be ANSWERED by using statement (II) ALONE but cant be answered by using statement (I) alone.



If the question can be answered by using statement (II) alone but cant be answered by using statement (I) alone.

142.

A and B complete a work in 6 days. A alone can do it in 10 days. If both together can do the work in how many days?

Answer»

3.75 DAYS



1/6 + 1/10 = 8/30 = 4/15
15/4 = 3.75 days

143.

Shilpa can complete a piece of work in 15 days and Shamita can complete the same piece of work in 24 days. In approximately, how many days can Shilpa and Shamita together complete the same piece of wo

Answer»

9 days



Shilpa's 1 DAY's WORK = 1/15
SHAMITA's 1 day's work = 1/24
Shipla + Shamita's 1 day's work
= 1/15 + 1/24 = 8+5/120 = 13/120
∴ Both TOGETHER will COMPLETE the work in 120/13 = 9 days

144.

Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

Answer»

4:3



(20 x 16) women can complete the work in 1 day.
1 WOMAN's 1 day's work = 1/320 .
(16 x 15) men can complete the work in 1 day.
1 MAN's 1 day's work = 1/240
So, required ratio
= 1/240 : 1/320
= 1/3 : 1/4
= 4 : 3 (CROSS multiplied)

145.

X completes a job in 2 days and Y completes it in 3 days and Z takes 4 days to complete it. If they work together and get Rs. 3900 for the job, then how much amount does Y get?

Answer»

RS. 1200



NA

146.

A is twice as fast as B. If B alone can do a piece of work in 30 days, in what time can A and B together complete the work?

Answer»

10



A can do the work in 30/2 i.e., 15 DAYS.

A and B's one DAY's work = 1/15 + 1/30 = (2 + 1)/30 = 1/10

So A and B together can do the work in 10 days.

147.

A and B can do a work in 18 day, B and C in 30 days, A and C in 22 (1/2) days. In how many days can A,B and C individually do the work?

Answer»

None of these



(A+B+C)'s two days work = 1/18 + 1/30 + 2/45

= (5 + 3 + 4)/90 = 2/15

(A+B+C)'s one DAY work = 2/15 * 1/2 = 1/15

A's one day's work = 1/15 - 1/30 = 1/30

B's one day's work = 1/15 - 2/45 = 1/45

C's one day's work = 1/15 - 1/18= 1/90

So, A,B and C can individually do the work in 30, 45 and 90 days.

148.

A can do a work in 4 days, B can do it in 5 days and C can do it in 10 days. A, B and C together can do the work in

Answer»

1 9/11 days



When A, B and C can do a WORK in x, y and Z days RESPECTIVELY. Then, the three of them 

together can finish the work in xyz/ x y + y z + x z days 

That is, A, B and C together ca do the work in 4 × 5 × 10/ 20 + 50 + 40 

= 4 × 5 × 10/110 = 20/11 = 1 9/11 days.

149.

X can do a work in 16 days. In how many days will the work be completed by Y, if the efficiency of Y is 60% more than that of X?

Answer»

 10 days



NA

150.

A can do half the work in one day where as B can do it full. B can also do half the work of C in one day. Ratio in their efficiency will be?

Answer»

1:2:4



WC of A: B = 1:2

 B: C = 1:2

A: B: C = 1:2:4