mathematics MCQs – Page 70

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 Review each marked answer and report any item that may be outdated or unclear.

mathematics Mcqs

1381. 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. 16 hours

B. 24 hours

C. 17 hours

D. 12 hours

1382. Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2
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A. 14

B. 26

C. 15

D. 24

1383. Pipes A and B can fill a cistern in 8 and 24 minutes respectively. They are opened an alternate minutes. Find how many minutes, the cistern shall be full?
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A. 19 min

B. 12 min

C. 10 min

D. 6 min

1384. The roots of the equation 3x2
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A. real and equal

B. rational and unequal

C. irrational and unequal

D. complex

1385. 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. 8 hrs

B. 4 1/3 hrs

C. 7 hrs

D. 14 hrs

1386. Three 6 faced dice are thrown together. The probability that no two dice show the same number on them is__________?
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A. Jan-36

B. 12-Jul

C. 5/9

D. 12-May

1387. Three taps A, B and C can fill a tank in 12, 15 and 20 hours respectively. If A is open all the time and B and C are open for one hour each alternately, the tank will be full is_______?
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A. 6 2/3 hrs

B. 6 hrs

C. 7 1/2 hrs

D. 7 hrs

1388. Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 4 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill?
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A. 8 min

B. 10 min

C. 9 min

D. 7 min

1389. If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?
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A. 900

B. 600

C. 1000

D. 500

1390. The average of 18 observations was calculated and it was 124. Later on it was discovered that two observations 46 and 82 were incorrect. The correct values are 64 and 28. The correct average of 18 observations is___________?
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A. 137

B. 122

C. 121

D. 123

1391. There are two circles of different radii. The area of a square is 196 sq.cm, whose side is half the radius of the larger circle. The radius of the smaller circle is three-seventh that of the larger circle. What is the circumference of the smaller circle ?
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A. 12 ? cm

B. 24 ? cm

C. 32 ? cm

D. 16 ? cm

1392. Find the ratio between whole surfaces of a sphere and a hemisphere?
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A. 3:01

B. 1:03

C. 4:3

D. 3:04

1393. A cricketer has a certain average for 10 innings. In the eleventh inning, he scored 108 runs, there by increasing his average by 6 runs. His new average is_____________?
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A. 60 runs

B. 52 runs

C. 55 runs

D. 48 runs

1394. Find the highest common factor of 36 and 84.
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A. 12

B. 18

C. 6

D. 4

1395. A leak in the bottom of a tank can empty the full tank in 6 hours. An inlet pipe fills water at the rate of 4 liters per minute. When the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours. The capacity of the tank is?
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A. 6970 liters

B. 5260 liters

C. 5760 liters

D. 5846 liters

1396. The surface of a cube is 24sq cm. Find its volume?
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A. 16 cc

B. 8 cc

C. 32 cc

D. 64 cc

1397. I. a2
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A. If a ? b

B. If a < b

C. If the relationship between a and b cannot be established

D. If a > b

1398. If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is___________?
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A. 40

B. 90

C. 70

D. 30

1399. The area of the cardboard(in cm2
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A. 1390 cm2

B. 1220 cm2

C. 1280 cm2

D. 695 cm2

1400. Find the greatest 4-digit number exactly divisible by 3, 4 and 5?
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A. 9975

B. 9957

C. 9960

D. 9985

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