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51.

A and B can do a piece of work in 10 h. B and C can do it in 15 h, while A and C take 12 h to complete the work. B independently can complete the work in

Answer»

24 h



NA

52.

Twenty four men can do a work in 35 days. How many men are required to complete the work in 21 days?

Answer»

40



We have M1 D1 = M2 D2

So, 24 * 35 = M2 * 21 => M2 = 40.

53.

A cistern is fille in 8 hours and it takes 12 hours when there is a leak in its bottom. If the cistern is full, in what time shall the leak empty it?

Answer»

24 HOURS



work DONE by 1 hour by FILLING pipe = 1/8
work done by 1 hour by the LEAK and the filling pipe =1/12
work done by 1 hour by the leak = 1/8 – 1/12 =1/24
Hence the leak can empty it in 24 hours. 

54.

28 men can complete a piece of work in 21 days. How many more men must be hired to complete the work in 14 days ?

Answer»

14



55.

A, B and C can do a work in 7 , 14 and 21 days respectively. They completed the work and got Rs.242. What is the share of C?

Answer»

Rs.44



The ratio of their working rates = 1/7 : 1/14 : 1/21 = 6 : 3 : 2

SINCE, they work together, the share of C 

 = 2/11 * 242 = Rs.44

56.

A and B finish the job in 15 days.while A,B and C can finish it in 10 days . C alone will finish the job in

Answer»

30 days



10 = (15 * X)/(15 + x)
150+10x=15x
5x=150
X=30

57.

A completes a work in 12 days and B complete the same work in 24 days. If both of them work together, then the number of days required to complete the work will be

Answer»

8 days



If A can complete a work in X days and B can complete the same work in y days, then, both 

of them together can complete the work in x y/ x+ y days 

THEREFORE, here, the required number of days = 12 × 24/ 36 = 8 days.

58.

A is thrice as efficient as B and is, therefore, able to finish a piece of work 10 days earlier than B. In how many days A and B will finish it together?

Answer»

5 days



WC = 3:1

WT = 1:3

x

59.

A single person takes 3 minutes to write a letter. If from 10 a.m. to 12.00 noon, 1960 letters are to be written, how many persons should be employed on this job ?

Answer»

49



49 PERSONS

60.

If 4 workers can make 42 toys in 6 days, how many toys can 12 workers make in 3 days?

Answer»

63 toys



4 workers in 3 days make 21 toys, 

Then, 1 WORKER can make 21/4 toys in 3 days 

Therefore, No. of toys made by 12 workers in 3 days = 21/4 × 12 = 63 toys.

61.

A certain number of men complete a piece of work in 60 days. If there were 8 men more, the work could be finished in 10 days less. How many men were originally there?

Answer»

40 men




Let ‘x’ be the original number of men 

Then 1 WORK DONE = x × 60 

Then, 60x = (x + 8) 50 

60x = 50x + 400 

10 x = 400 

x = 40.

62.

A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work?

Answer»

6 days



A's 1 day work = 1/10; B's 1 day work = 1/15

(A + B)'s 1 day work = (1/10 + 1/15) = 1/6

So, both TOGETHER will finish the work in 6 days.

63.

A and B together can complete a particular task in 4 days. If A alone can complete the same task in 12 days. How many days will B take to complete the task if he works alone?

Answer»

NONE of these



NA

64.

A group of workers accepted to do a piece of work in 25 days. If 6 of them did not turn for the work and the remaining workers did the work in 40 days, then the original number of workers was

Answer»

16 days



Let the ORIGINAL number of workers be ‘x’ 

Then, x × 25 = (x – 6) × 40 

25X = 40X -240 

240 = 40x -25x = 15x 

x = 240/15 = 16.

65.

6 dogs and 8 cats do a work in 12 days, while 5 dogs and 8 cats finish it in 16days, 4dogs and 8 cats will finish it in.

Answer»

24 days



(6dogs+8cats) 1 DAY WORK = 1/12
(5dogs+8cats) 1 day work = 1/16
substract 1 and 2
i.e 1/12 – 1/16= 1/48
i.e 1 DOG 1 day work is 1/48
4dogs + 8cats

66.

A certain number of men can do a work in 65 days working 6 hours a day. If the number of men are decreased by one-fourth, then for how many hours per day should they work in order to complete the work

Answer»

13



Let the number of MEN initially be X. we have M1 D1 H1= M2 D2 H2 

So, x * 65 * 6 = (3x)/4 * 40 * h2 

=> h2 = (65 * 6 * 4)/(3 * 40) = 13.

67.

A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?

Answer»

24 DAYS



2c = ¼ + 1/6 – 1/3 = 1/12

c = 1/24 => 24 days

68.

The ratio of efficiency of A is to C is 5:3. The ratio of number of days taken by B is to C is 2:3. A takes 6 days less than C, when A and C completes the work individually. B and C started the work a

Answer»

6



NA

69.

A can do piece of work in 15 days and B in 20 days they finished the work with the assistance of c in 5 days and got Rs.45 as their wages find the share for each in wages?

Answer»

11,12,13



A’s 1 day WORK =1/3
B’s 1 day work =1/4
C’s 1 day work =1-1/4-1/3 =5/12
A’s share =45 *1/3 = 15
B’s share= 45*1/4 = 11.25
C’s share =45*5/12 = 18.75

70.

How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?

Answer»

25



D = 100 + 150 = 250

S = 36 * 5/18 = 10 mps

T = 250/10 = 25 sec

71.

A certain number of men can do a work in 40 days. If there were 5 men less it could be finished in 10 more days. How many men are there ?

Answer»

25 MEN



No. of men ORIGINALLY = X(D+d)/d

72.

A takes 10 hours to do a work. B takes 12 hours to do the same works. In how many hours A & B working together will complete the work?

Answer»

60/11



NA

73.

A and B together can do a piece of work in 6 days and A alone can do it in 9 days. In how many days can B alone can do it?

Answer»

18 days



A and B can do work 1/6 in 1 DAY
A ALONE can do 1/9 work in 1 day
B alone can do (1/6 -1/9) =1/18 work in 1 day
=> complete work can be done in 18 days by B

74.

A works twice as fast as B. if both of them can together finish a piece of work in 12 days, then B alone can do it in

Answer»

36 days



B = 2A 
2A × A/3A = 12 
2A/3 = 12 
A = 18 days 
B= 2 × 18 = 36 days 
Therefore, B ALONE can finish the WORK in 36 days.

75.

There is a sufficient food for 200 men for 20 days after 15 days 100 men leave the place. For how many days will the rest of the food last for the rest of the men?

Answer»

10 DAYS



After 13 days , 100 men left,
Therefore 5 days*200 men =x days*100men
X = 10 days

76.

A is thrice efficient as B and C is twice as efficient as B. what is the ratio of number of days taken by A,B and C, when they work individually?

Answer»

2:6:3



NA

77.

Thirty men can do a work in 24 days. In how many days can 20 men can do the work, given that the time spent per day is increased by one-third of the previous time?

Answer»

NONE of these



NA

78.

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in

Answer»

45/2 days



Ratio of times taken by A and B = 1 : 3
.
The TIME difference is (3 - 1) 2 days while B TAKE 3 days and A takes 1 day.

If difference of time is 2 days, B takes 3 days.

If difference of time is 60 days, B takes 3/2 x 60 = 90 days
.
So, A takes 30 days to do the work.

A's 1 day's work = 1/30

B's 1 day's work = 1/90

(A + B)'s 1 day's work = 1/30 + 1/90 = 4/90 = 2/45

A and B together can do the work in 45/2 days.

79.

A sum of money is sufficient to pay P’s wages for 25 days or Q’s wages for 30 days. The money is sufficient to pay the wages of both for

Answer»

13 7/11 DAYS



If A can complete a WORK in x days and B can complete the same work in y days, then, both 

of them together can complete the work in x y/ x+ y days. 

Here, wages can be TAKEN as days, 

Then, 25 ×30/ 55 = 13 7/11 days.

80.

A and B can do a piece of work in 8 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days?

Answer»

7.38 DAYS



A + B = 1/8

 B + C = 1/12

C + A = 1/16

-------------------------------

2(A + B +C) = 1/8 + 1/12 + 1/16 = 13/48

A + B +C = 13/96

96/13 = 7.38 days

81.

A, B and C can complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 4 days of start and A left 3 days before the completion of the work. In how many d

Answer»

15 days



NA

82.

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 is done by A in

Answer»

10 DAYS



10 days

83.

P can finish a work in 25 days and Q can do the same work in 20 days. Q worked for 8 days and left the job. In how many days, P alone can finish the remaining work?

Answer»

 15 days



NA

84.

If 32 men and 24 days can reap a field in 9 days in how many days will 28 men and 12 boys reap it supposing that 4 men can do as much as 6 boys?

Answer»

12 DAYS



(32m+24B)9=(28m+12b)x
[Since 24b(6 * 4)b
=> 6 boys = 4 men
=> 24 boys = 16 men]
(32m+16m)9=(28m+8m)x
[since 4 men = 6 boys]
48m*9/36m = 12 days

85.

Twelve men can complete a piece of work in 32 days. The same work can be completed by 16 women in 36 days and by 48 boys in 16 days. Find the time taken by one man, one woman and one boy working toget

Answer»

(64 * 36)/13 days



12 MEN take 32 days to complete the work.

One MAN will take (12 * 32) days to complete it.

Similarly one woman will take (16 * 36) days to complete it and one boy will take (48 * 16) days to complete it.

One man, one woman and one boy WORKING together will complete = 1/(12 * 32) + 1/(16 * 36) + 1/(48 * 16)

= 1/(4 * 3 * 16 * 2) + 1/(16 * 4 * 9) + 1/(16 * 3 * 4 * 4) 

= 1/64(1/6 + 1/9 + 1/12) = 1/64 * 13/36 of the work in a day.

They will take (64 * 36)/13 days to complete the work working together.

86.

A group of workers was put on a job. From the second day onwards, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. Had no worker been withdrawn at any stage,

Answer»

10



NA

87.

Computer A takes 4 min to process one input, computer B takes 7 min for one input. If computer A, B & C can process an average of 45 inputs in 1 hr., how much time does Computer C alone take to proces

Answer»

14/5 mins



Part PROCESSED by Comp A in 1 min = 1/4
45/60 - 1/4 - 1/7 = 3/4 - 1/4 - 1/7 = 21-7-4/28 = 10/28 = 5/14
Hence Comp C Will PROCESS 5 INPUT in 14 mins
Therefore, 1 input in 14/5 mins

88.

If 'A' can do a work in 20 days and ' B ' can do the same work in 30 days, how many days will it take when both 'A' and ' B ' work together ?

Answer»

12 days



A can do 1/20 work in 1 DAY and B
Can do 1/30 work in 1 day. so (A + B) can do 
1/20 + 1/30 = 5/60 = 1/12 work in 1 day
Because, A + B can do 1/12 work in 1 day
Therefore, A + B can do 1 work in 1/(1/12) = 12 days.

89.

12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. How many w

Answer»

15



1 man's 1 DAY WORK = 1/48; 1 woman's 1 day work = 1/60.

6 MEN's 2 day's work = 6/48 * 2 = 1/4.

Remaining work = (1 - 1/4) = 3/4

Now, 1/60 work is done in 1 day by 1 woman.

So, 3/4 work will be done in 3 days by (60 * 3/4 * 1/3) = 15 women.

90.

A is twice efficient as B and together they do the same work in as much time as C and D together. If C and D can complete the work in 20 and 30 daysrespectively, working alone ,then in how many days A

Answer»

18 days



NA

91.

Seven men and four boys can earn Rs 6710 in 11 days. 12 men and five boys can earn Rs 6930 in seven days. In how many days time will 8 men and 10 boys earn Rs 12040 ?

Answer»

14 days



(7M + 4B) X 11 = 6710
∴ 7m + 4b = 610

92.

16 men or 20 women can finish a work in 25 days. How many days 28 men and 15 women will take to finish this job?

Answer»

10 days



16 men = 20 WOMEN 

Therefore, 1 women = 16/20 men = 4/5 men 

15 women = 4/5 × 15 men = 12 men 

i.e. 28 men + 15 women = 28 men + 12 men = 40men 

1 WORK DONE by men = 16 × 25 

16 × 25 = 40 × ? 

? ( no. of days) = 16 × 25/40 = 10 days.

93.

15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take to do the same. If 3 women do as much work as 2 men?

Answer»

30



3W = 2M

15M ------ 21 * 8 hours

21 W ------ x * 6 hours

14 M ------ x * 6

15 * 21 * 8 = 14 * x * 6 

x = 30

94.

If 8 men can dig a well in 18 days, then the number of days, 12 men will take to dig the same well will be

Answer»

12 DAYS



Work DONE = 8 × 18 

Then, 8 × 18 = 12 × ? days 

? days = 8 × 18/12 = 12 days

95.

Wages for 40 women amount to Rs 15000 in 60 days. How many men must work for 15 days to receive Rs 6000? The daily wage of a man is double that of a woman.

Answer»

32 men



Daily WAGES of a WOMAN = 15000/60x40 = 6.25
∴ Daily wages of a MAN = 2 X 6.25 = 12.5
Number of men = 6000/15 x 12.5 = 32

96.

If the production of a factory grows at a rate of 8% p.a., what will be its production for the year 2006 if its production in 2004 was 60 lakh tonnes (Rounded off to two digits after decimal) ?

Answer»

69.98 LAKH TONNES



Required PRODUCTION= 60 (1 + 8/100)² lakh tonnes

97.

Ravi can do a piece of work in 30 days while Prakash can do it in 40 days. In how many days will they finish it together?

Answer»

17 1/7 DAYS



1/30 + 1/40 = 7/120

120/7 = 17 1/7 days

98.

12 men take 36 days to do a work while 12 women complete 3/4th of the same work in 36 days. In how many days 10 men and 8 women together will complete the same work?

Answer»

27 days



1 MAN’s 1 day’s WORK = 1/ 36 × 12 = 1/432 
10 men’s 1 day’s work = 10/432 
12 women can FINISH the whole work in 4 × 36/3 = 48 days 
1 woman’s 1 days work = 1/ 48 × 12 = 1/576 
8 women’s 1 day’s work = 8/572 = 1/72 
(10 men + 8 women)’s 1 day’s work = 10/432 + 1/72 = 10 + 6/432 = 16/432 

99.

Ronald and Elan are working on an assignment. Ronald takes 6 hrs to type 32 pages on a computer, while Elan takes 5 hrs to type 40 pages. How much time will they take, working together on two differen

Answer»

8 HRS 15 MIN



Number of pages typed by RONALD in 1 HOUR = 32/6 = 16/3 

Number of pages typed by Elan in 1 hour = 40/5 = 8

Number of pages typed by both in 1 hour = (16/3 + 8) = 40/3

Time taken by both to type 110 pages = (110 * 3/40) = 8 1/4 = 8 hrs 15 min

100.

A can do a piece of work in 40 days; B can do the same in 30 days. A started alone but left the work after 10 days, then B worked at it for 10 days. C finished the remaining work in 10 days. C alone c

Answer»

24 DAYS



10/40 + 10/30 + 10/x = 1

x = 24 days