1351. Three cubes of metal whose edges are 9, 12 and 15 cm respectively, are melted and one new cube is made. Find the edge of the new cube?
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A. 18 cm

B. 19 cm

C. 21 cm

D. 32 cm

1352. The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is____________?
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A. Rs. 4050

B. Rs. 4000

C. Rs. 5000

D. Rs. 3500

1353. The probability of a lottery ticket being a prized ticket is 0.2. When 4 tickets are purchased, the probability of winning a prize on at least one ticket is__________?
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A. 0.5904

B. 0.6234

C. 0.5834

D. 0.4869

1354. If two dice are thrown together, the probability of getting an even number on one die and an odd number on the other is__________?
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A. 5-Mar

B. 4-Mar

C. 1/2

D. 4-Jan

1355. In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be_________?
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A. 1000 cu.m

B. 2000 cu.m

C. 100 cu.m

D. 10000 cu.m

1356. From a pack of cards two cards are drawn one after the other, with replacement. The probability that the first is a red card and the second is a king is_________?
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A. 1/26

B. 15/26

C. Mar-52

D. 26-Nov

1357. The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
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A. 0.1

B. 1:48

C. 1 : 96

D. 0.088888889

1358. 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. 3 hrs

B. 4 hrs 24 min

C. 5 hrs

D. 2 hrs 15 min

1359. Surface area of a sphere is 2464 cm2. If its radius is doubled, then the surface area of _________?the new sphere will be
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A. 9856 cm2

B. 4727 cm2

C. 19712 cm2

D. 4920 cm2

1360. The edge of three cubes of metal is 3 dm, 4 dm and 5 dm. They are melted and formed into a single cube. Find the edge of the new cube?
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A. 5 dm

B. 6 dm

C. 4 dm

D. 3 dm

1361. The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is__________________?
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A. 21

B. 22

C. 23

D. 20

1362. 10 books are placed at random in a shelf. The probability that a pair of books will always be together is_________?
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A. 10-Sep

B. 10-Mar

C. 10-Jan

D. 1/5
1363. The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is____________?
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A. 15 years

B. 11 years

C. 15 2/7 years

D. 14 years

1364. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that at least one bulb is good.
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A. Feb-63

B. 125/126

C. 1/126

D. Jun-63

1365. The surface area of a cube is 726m<sup>2
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A. 1300 m<sup>3</sup>

B. 1542 m<sup>3</sup>

C. 1452 m<sup>3</sup>

D. 1331 m3
1366. A tank is filled in 5 hours by three pipes A, B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
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A. 20 hrs

B. Cannot be determined

C. 35 hrs

D. 25 hrs

1367. The curved surface of a sphere is 64 ? cm<sup>2
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A. 2 cm

B. 3 cm

C. 1 cm

D. 4 cm
1368. What is probability of drawing two clubs from a well shuffled pack of 52 cards?
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A. 13/17

B. 13/51

C. 1/17

D. 26-Jan

1369. Three pipes A, B and C can fill a tank in 6 hours. After working at it together for 2 hours. C is closed A and B can fill the remaining par in 7 hours. The number of hours taken by C alone to fill the tank is?
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A. 16

B. 12

C. 14

D. 10

1370. 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. 8 1/2 min

D. 7 1/4 min

1371. A top can fill a cistern in 8 hours and another can empty it in 16 hours. If both the taps are opened simultaneously the time (in hours) to fill the tank is
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A. 16

B. 24

C. 10

D. 8

1372. The parameter of a square is double the perimeter of a rectangle. The area of the rectangle is 480 sq cm. Find the area of the square.
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A. 200 sq cm

B. Cannot be determined

C. 162 sq cm

D. 72 sq cm

1373. Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after?
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A. 5 min

B. 9 min

C. 10 min

D. 15 min

1374. I. a<sup>2
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A. If a ? b.

B. If a ? b

C. If a < b

D. If a > b

1375. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
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A. 3 hrs 15 min

B. 4 hrs

C. 4 hrs 15 min

D. 3 hrs 45 min
1376. The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is_________?
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A. 9:16

B. 9:32

C. 3:08

D. 0.419444444

1377. The radius of the base of cone is 3 cm and height is 4 cm. Find the volume of the cone?
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A. 8 ? cm<sup>3</sup>

B. 6 ? cm<sup>3</sup>

C. 12 ? cm3

D. 10 ? cm<sup>3</sup>

1378. If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in cm<sup>2
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A. 60?

B. 7?

C. 100?

D. 50?

1379. The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?
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A. 4

B. 76

C. 70

D. 2

1380. I. x<sup>2
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A. If x = y or the relationship between x and y cannot be established.

B. If x < y

C. If x ? y

D. If x > y

E. If x ? y

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 x<sup>2
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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 3x<sup>2
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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. a<sup>2
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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 cm<sup>2
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A. 1390 cm2

B. 1220 cm<sup>2</sup>

C. 1280 cm<sup>2</sup>

D. 695 cm<sup>2</sup>

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