mathematics MCQs – Page 74

Practise multiple-choice questions from mathematics for competitive examinations and subject revision. Review each marked answer and report any item that may be outdated or unclear.

3651. Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank?
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A. 10 min 20 sec

B. 12 min 30 sec

C. 14 min 40 sec

D. 11 min 45 sec

3652. Two pipes P and Q can fill a cistern in 12 and 15 minutes respectively. Both are opened together, but at the end of 3 minutes the first is turned off. How much longer will the cistern take to fill?
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A. 11 1/4 min

B. 9 1/4 min

C. 7 1/4 min

D. 8 1/2 min

3653. Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in___________?
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A. 24 hours

B. 17 hours

C. 16 hours

D. 12 hours
3654. A cistern has three pipes, A, B and C. The pipes A and B can fill it in 4 and 5 hours respectively and C can empty it in 2 hours. If the pipes are opened in order at 1, 2 and 3 A.M. When will the cistern be empty?
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A. 7:00 PM

B. 4:00 PM

C. 3:00 PM

D. 5 PM
3655. Three pipes A, B and C can fill a tank from empty to full in 30 minutes, 20 minutes and 10 minutes respectively. When the tank is empty, all the three pipes are opened. A, B and C discharge chemical solutions P, Q and R respectively. What is the proportion of solution R in the liquid in the tank after 3 minutes?
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A. 11-May

B. 11-Aug

C. 6/11

D. 11-Jul

3656. Two pipes A and B can fill a tank in 4 and 5 hours respectively. If they are turned up alternately for one hour each, the time taken to fill the tank is?
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A. 4 hrs 24 min

B. 5 hrs

C. 2 hrs 15 min

D. 3 hrs

3657. Two pipes A and B can fill a cistern in 20 and 30 minutes respectively, and a third pipe C can empty it in 40 minutes. How long will it take to fill the cistern if all the three are opened at the same time?
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A. 17 1/7 min

B. 15 1/7 min

C. 19 1/7 min

D. 7 1/7 min

3658. A pump can fill a tank with water in 2 hours. Because of a leak, it took 2 1/3 hours to fill the tank. The leak can drain all the water of the tank in?
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A. 4 1/3 hrs

B. 8 hrs

C. 7 hrs

D. 14 hrs
3659. A cistern is filled by a tap in 3 1/2 hours. Due to leak in the bottom of the cistern, it takes half an hour longer to fill the cistern. If the cistern is full how long will it take the leak to empty it?
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A. 7 hours

B. 28 hours

C. 14 hours

D. 8 hours

3660. A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
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A. 5 hrs

B. 4.5 hrs

C. 6.5 hrs

D. 7.2 hrs
3661. Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is :___________?
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A. 12

B. None of these

C. 18

D. 6

3662. The sum of two numbers is 25 and their differenee is 13. Find their product :
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A. 114

B. 315

C. 104

D. 325

3663. A two-digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reversed. The number is :_________?
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A. 18

B. 42

C. 24

D. 81

3664. Find two number whose sum is 28 and the difference is 4 _____________?
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A. 14,12

B. 18,10

C. 12,16

D. 15,13

3665. If the sum of a number and its square is 182, what is the number ?
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A. 26

B. 15

C. 28

D. 13
3666. If the number obtained on interchanging the digits of a two-digit number is 18 more than the original number and the sum of the digits is 8, then what is the original number ?
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A. 35

B. Cannot be determined

C. 26

D. 53

3667. Find the number which when multiplied by 15 is increased by 196.
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A. 26

B. 20

C. 28

D. 14
3668. The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is :___________?
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A. 30

B. 20

C. None of these

D. 40

3669. If the sum of two numbers is 33 and their difference is 15, the smaller number is :__________?
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A. 9

B. 15

C. 18

D. 12