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EXAM Math Questions and Answer Page 2871

(#M40020681) EXAM QUESTION time and work Keep an EYE

Pankaj can produce one unit in 15 days, while Bharti can do the same in 12 days. After producing one unit, working together, they received Rs. 90, which they distributed amongst themselves in proportional to their efficiency. If they work for 20 days, and sell the produce, then Bharti should receive

A.

Rs. 120

B.

Rs. 140

C.

Rs. 150

D.

Rs. 160

Asked In exam MAN (12 years ago)

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(#M40020680) EXAM QUESTION time and work Keep an EYE

Suppose q is the number of workers employed by Simplex Ltd. for one of its projects. The average cost of production c is given by c=
q2
3
+
5q
2
−150+
75
q
. In the interest of the company, it should employ __________ workers.

A.

5

B.

4

C.

7

D.

10

Asked In exam MAN (12 years ago)

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(#M40020679) EXAM QUESTION time and work Keep an EYE

Two taps can fill a tank in 12 min and 18 min respectively. Both the taps are kept open for 2 min and then the tap that fills the tank in 12 min is turned off. In how many more minutes will the tank be filled?

A.

9

B.

12

C.

13

D.

10

Asked In exam MAN (12 years ago)

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(#M40020677) EXAM QUESTION time and work Keep an EYE

Ram starts working on a job and works on it for 12 days and completes 40% of the work. To help him complete the work, he employs Ravi and together they work for another 12 days and the work gets completed. How much more efficient is Ram than Ravi?

A.

50%

B.

200%

C.

125%

D.

100%

Asked In exam MAN (12 years ago)

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(#M40020676) EXAM QUESTION time and work Keep an EYE

Ram, who is half as efficient as Krish, will take 24 days to complete a work if he worked alone. If Ram and Krish worked together, how many days will they take to complete the work?

A.

16

B.

12

C.

8

D.

18

Asked In exam MAN (12 years ago)

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(#M40020674) EXAM QUESTION time and work Keep an EYE

Pavan builds an overhead tank in his house, which has three taps attached to it. While the first tap can fill the tank in 12 hours, the second one takes one and a half times more than the first one to fill it completely. A third tap is attached to the tank which empties it in 36 hours. Now one day, in order to fill the tank, Pavan opens the first tap and after two hours opens the second tap as well. However, at the end of the sixth hour, he realizes that the third tap has been kept open right from the beginning and promptly closes it. What will be the total time required to fill the tank?

A.

8 hours 48 minutes

B.

9 hours 12 minutes

C.

9 hours 36 minutes

D.

8 hours 30 minutes

Asked In exam MAN (12 years ago)

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(#M40020672) EXAM QUESTION time and work Keep an EYE

Pipe A can fill a tank in 'a' hours. On account of a leak at the bottom of the tank it takes thrice as long to fill the tank. How long will the leak at the bottom of the tank take to empty a full tank, when pipe A is kept closed?

A.

3
2
a hours

B.

2
3
a hours

C.

4
3
a hours

D.

3
4
a hours

Asked In exam MAN (12 years ago)

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(#M40020670) EXAM QUESTION time and work Keep an EYE

Jay and Anup can do a job, each working alone in 30 and 15 days respectively. Jay started the work and after a few days, Anup joined him. They completed the work in 18 days from the start. After how many days did Anup join A?

A.

6

B.

10

C.

12

D.

14

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(#M40020668) EXAM QUESTION time and work Keep an EYE

Due to hole at the bottom of the tank, a tap takes 2 more minutes to completely fill the tank. Due to leakage of water through this hole, a bucket filled completely with water gets emptied in 4 minutes. In how much time can the tap fill the tank, if there was no hole at the bottom at the tank?

A.

8 min

B.

2 min

C.

4 min

D.

6 min

Asked In exam MAN (12 years ago)

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(#M40020666) EXAM QUESTION time and work Keep an EYE

Aditya, Vedus and Yuvraj alone can do a job for 6 weeks, 9 weeks and 12 weeks respectively. They work together for 2 weeks. Then, Aditya leaves the job. Vedus leaves the job a week earlier to the completion of the work. The job would be completed in:

A.

4 weeks

B.

5 weeks

C.

7 weeks

D.

None of these

Asked In exam MAN (12 years ago)

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(#M40020664) EXAM QUESTION time and work Keep an EYE

A man can do a piece of work in 60 hours. If he takes his son with him and both work together then the work is finished in 40 hours. How many hours will the son take to do the same job, if he worked alone on the job?

A.

20

B.

60

C.

100

D.

120

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(#M40020662) EXAM QUESTION time and work Keep an EYE

Pipes A and B can fill a tank in 12 min and 16 min respectively. Both are kept open for 'n' min and then B is closed and A fills the rest of the tank in 5 min. The time 'n' after which B was closed is:

A.

3 min

B.

2 min

C.

5 min

D.

4 min

Asked In exam MAN (12 years ago)

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(#M40020660) EXAM QUESTION time and work Keep an EYE

.

A, B and C, can complete a piece of work individually in 15, 30 and 40 days respectively. They started the work together and the A and B let 2 days and 4 days before the completion of the work respectively. In how many days was the work completed?

A.

10
13
15

B.

12

C.

15

D.

10
2
15

Asked In exam MAN (12 years ago)

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(#M40020659) EXAM QUESTION time and work Keep an EYE

A and B borrowed a tractor for 23 days. A ploughed 12 acres per day for a certain number of days and then Bused it to plough 15 acres per day for the remaining days. If they paid Rs 3,000 and Rs 2,000 respectively, for how many days did A use the tractor?

A.

12

B.

15

C.

16

D.

18

Asked In exam MAN (12 years ago)

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(#M40020657) EXAM QUESTION time and work Keep an EYE

A can build up a structure in 8 days and B can break it is 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the structure?

A.

10

B.

9

C.

12

D.

None of these

Asked In exam MAN (12 years ago)

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(#M40020655) EXAM QUESTION time and work Keep an EYE

Anil does a work in 90 days, Bittu in 40 days and Chintu in 12 days. They work one after another for a day each, starting with Anil followed by Bittu and then by Chintu. If the total wages received are Rs 360 and Anil, Bittu, Chintu 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.

Rs 38, Rs 88 and Rs 234

Asked In exam MAN (12 years ago)

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(#M40020652) EXAM QUESTION time and work Keep an EYE

A pump can be used either to fill or to empty a tank. The capacity of the tank is 3600m3. The emptying capacity of the pump is 10m3/min higher than its filling capacity. What is the emptying capacity of the pump if the pump needs 12 more minutes to fill the tank than to empty it?

A.

10
m3
min

B.

60
m3
min

C.

45
m3
min

D.

90
m3
min

Asked In exam MAN (12 years ago)

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(#M40020651) EXAM QUESTION time and work Keep an EYE

When Abhinav and Bipul are working alone, they can complete a piece of work in 25 days and 30 days respectively. On day 1, Bipul started the work and Abhinav joined B from day 3 on-wards. Find after how many days will the work be completed?

A.

13

B.

11

C.

15

D.

16

Asked In exam MAN (12 years ago)

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(#M40020650) EXAM QUESTION time and work Keep an EYE

The digging work of the DMRC on the Adohini-Andheriamore stretch requires Twenty-four men to complete the work in sixteen days. As a part of the task if DMRC were to hire Thirty-two women, they can complete the same work in twenty-four days. Sixteen men and sixteen women started working and worked for twelve days. Due to time bound schedule the work had to be completed in remaining 2 days, for which how many more men are to be employed?

A.

48

B.

24

C.

36

D.

16

Asked In exam MAN (12 years ago)

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(#M40020648) EXAM QUESTION time and work Keep an EYE

A bath can be filled by the cold water pipe in 10 min and by hot water pipe in 15 min (independently each). A person leaves the bathroom after turning on both pipes simultaneously and returns at the moments when the bath should be full. Finding, however, that the waste pipe has been open he now closes it. In 4 min more, bath is full. In what time would be the waste pipe empty it?

A.

9 min

B.

12 min

C.

15 min

D.

14 min

Asked In exam MAN (12 years ago)

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(#M40020647) EXAM QUESTION time and work Keep an EYE

There are 12 pipes attached to a tank. Some of them are fill pipes and some are drain pipes. Each of the fill pipes can fill the tank in 12 hours, while each of the drain pipes will take 24 hours to drain a full tank completely. If all the pipes are kept open when the tank was empty, it takes 2 hours for the tank to overflow. How many of these pipes are drain pipes?

A.

6

B.

11

C.

4

D.

7

Asked In exam MAN (12 years ago)

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(#M40020646) EXAM QUESTION time and work Keep an EYE

A work is done by three person A,B and C. A alone takes 10 hours to complete a single product but B and C working together takes 4 hours, for the completion of the same product. If all of them worked together and completed 14 products, then how many hours have they worked?

A.

20 hrs

B.

28 hrs

C.

40 hrs

D.

54 hrs

Asked In exam MAN (12 years ago)

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(#M40020645) EXAM QUESTION time and work Keep an EYE

Water flows into a reservoir which is 200 m long and 150 m wide, through a pipe of cross-section (0.3m X 0.2m) at 20kmph. In what time will the water level be 8?

A.

100 hrs

B.

150 hrs

C.

175 hrs

D.

200 hrs

Asked In exam MAN (12 years ago)

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(#M40020643) EXAM QUESTION time and work Keep an EYE

A and B together can complete a piece of work in 35 days while A alone can complete the same work in 60 days. B alone will be able to complete the same working in:

A.

74 Days

B.

80 Days

C.

84 Days

D.

90 Days

Asked In exam MAN (12 years ago)

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(#M40020642) EXAM QUESTION time and work Keep an EYE

Mr. Ram is on tour and he has Rs 360 for his expenses. If he exceeds his tour by 4 days he must cut down daily expenses by Rs 3. The number of days of Mr. Ram's tour programme is

A.

28 Days

B.

24 Days

C.

22 Days

D.

20 Days

Asked In exam MAN (12 years ago)

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(#M40020641) EXAM QUESTION time and work Keep an EYE

Two pipes can fill the cistern in 10hr and 12 hr respectively, while the third empty it in 20hr. If all pipes are opened simultaneously, then the cistern will be filled in

A.

7.5 hr

B.

8 hr

C.

8.5 hr

D.

10 hr

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(#M40020639) EXAM QUESTION time and work Keep an EYE

To complete a piece of work A and B take 8 days, B and C 12 days. A, B and C take 6 days. A and C will take :

A.

7 Days

B.

7.5 Days

C.

8 Days

D.

8.5 Days

Asked In exam MAN (12 years ago)

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(#M40020638) EXAM QUESTION time and work Keep an EYE

A can do piece of work in 30 days while B alone can do it in 40 days. In how many days can A and B working together do it?

A.

16
1
7

B.

17
1
7

C.

18
1
7

D.

19
1
7

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(#M40020627) EXAM QUESTION time,speed Keep an EYE

A, B and C start simultaneously from X to Y. A reaches Y, turns back and meet B at a distance of 11 km from Y. B reached Y, turns back and meet C at a distance of 9 km from Y. If the ratio of the speeds of A and C is 3:2, what is the distance between X and Y?

A.

99 m

B.

100 m

C.

120 m

D.

142 m

Asked In exam MAN (12 years ago)

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(#M40020626) EXAM QUESTION time,speed Keep an EYE

From a point P, on the surface of radius 3cm, two cockroaches A and B started moving along two different circular paths, each having the maximum possible radius, on the surface of the sphere, that lie in the two different planes which are inclined at an angle of 45 degree to each other. If A and B takes 18 sec and 6 sec respectively, to complete one revolution along their respective circular paths, then after how much time will they meet again, after they start from P?

A.

27 sec

B.

24 sec

C.

18 sec

D.

9 sec

Asked In exam MAN (12 years ago)

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