1451. The length of a rectangular floor is more than its breadth by 200%. If Rs. 324 is required to paint the floor at the rate of Rs. 3 per sq m, then what would be the length of the floor?
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A. 18 m

B. 24 m

C. 21 m

D. 27 m

1452. In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples?
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A. 16/21

B. 5/21

C. 14-Sep

D. 14-May

1453. The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the ratio of its diameter to its height.
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A. 3:07

B. 7:06

C. 7 : 3

D. 6:07

1454. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
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A. 48 kg

B. 49.25 kg

C. 47.55 kg

D. 48.55 kg
1455. A drink vendor has 80 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesnt want to mix any two drinks in a can. What is the least number of cans required?
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A. 30

B. 42

C. 37

D. 35

1456. The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is___________?
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A. 36.1

B. 39.1

C. 35.2

D. 36.5
1457. Find the greatest number that exactly divides 35, 91 and 840?
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A. 6

B. 8

C. 7

D. 5

1458. Three 6 faced dice are thrown together. The probability that all the three show the same number on them is -.
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A. 1/36

B. 9-May

C. 12-May

D. 1/216

1459. Three 6 faced dice are thrown together. The probability that exactly two dice show the same number on them is -.
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A. 9-May

B. Jan-36

C. 12-Jul

D. 5/12
1460. The circumferences of two circles are 264 meters and 352 meters. Find the difference between the areas of the larger and the smaller circles.
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A. 4304 sq m

B. 4360 sq m

C. 4192 sq m

D. 4312 sq m
1461. What is the probability that a leap year has 53 Sundays and 52 Mondays?
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A. 0

B. 1/7

C. 7-Feb

D. 7-May

1462. Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in?
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A. 2 8/11 hours

B. 1 13/17 hours

C. 4 1/2 hours

D. 3 9/17 hours
1463. If the radius of the sphere is doubled then its volume is increased by?
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A. 800%

B. 100%

C. 200%

D. 700 %
1464. The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
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A. 9, 10

B. 12, 13

C. 11, 12

D. 10, 11

1465. A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is__________?
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A. 23-Oct

B. 25/42

C. 41/42

D. 20-Sep

1466. Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
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A. 17 hours

B. 15 hours

C. 16 hours

D. 18 hours
1467. A cistern has a leak which would empty the cistern in 20 minutes. A tap is turned on which admits 4 liters a minute into the cistern, and it is emptied in 24 minutes. How many liters does the cistern hold?
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A. 800 liters

B. 480 liters

C. 720 liters

D. 600 liters

1468. A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from empty state if B is used for half the time and A and B fill it together for the other half?
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A. 20 min

B. 30 min

C. 15 min

D. 27.5 min

1469. The edges of three iron cubes are 6cm; 8cm; 10cm respectively. A new cube was made by melting them. Find the edge of the new cube?
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A. 10 cm

B. 12 cm

C. 14 cm

D. 8 cm

1470. The sides of a cube are in the ratio 1:2 the ratio of their volume is__________?
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A. 1:02

B. 1:8

C. 1:04

D. 2:01

1471. 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 in_________?
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A. 6 2/3 hours

B. 7 1/2 hours

C. 6 hours

D. 7 hours
1472. The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ration of the number of boys to the number of girls in the class is___________?
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A. 3:05

B. 3:04

C. 1:02

D. 2:3
1473. The sum of the square of the three consecutive even natural numbers is 1460. Find the numbers?
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A. 18, 20, 22

B. 24, 26, 28

C. 22, 24, 26

D. 20, 22, 24
1474. Out of 15 consecutive numbers, 2 are chosen at random. The probability that they are both odds or both primes is_________?
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A. 17-Oct

B. 46/105

C. 19-Oct

D. Cannot be determined
1475. The dimensions of an open box are 52, 40 and 29 cms. Its thickness is 2 cms. If 1 cm<sup>3
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A. 7.756 kg

B. 7.76 kg

C. 8.56 kg

D. 6.832 kg
1476. If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?
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A. 3:04

B. 16:09

C. 4:3

D. 64:27:00

1477. A water tank is two-fifth full. Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?
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A. 9 min. to empty

B. 6 min. to full

C. 9 min. to full

D. 6 min. to empty
1478. A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?
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A. 12 cm

B. 10 cm

C. 18 cm

D. 24 cm

1479. The length of the longest rod that can fit in a cubical room of 4 m side is?
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A. 5.196 m

B. 8.66 m

C. 6.928 m

D. 7.264 m

1480. Two pipes can fill a tank in 18 minutes and 15 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
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A. 11

B. 13

C. 10

D. 12

1481. 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. 19 1/7 min

B. 15 1/7 min

C. 17 1/7 min

D. 7 1/7 min

1482. A coin is tossed live times. What is the probability that there is at the least one tail?
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A. 31/32

B. 16-Jan

C. 2-Jan

D. Jan-32

1483. The spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls. The diameters of two of these are 1 cm and 2 cm respectively. The diameter of third ball is?
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A. 3.5 cm

B. 3 cm

C. 2.66 cm

D. 2.5 cm
1484. An outlet pipe can empty 2/3 rd of a cistern in 12 minutes. In 8 minutes, what part of the cistern will be emptied?
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A. 6-Jan

B. 4/9

C. 7-Apr

D. 3-Feb

1485. A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective.
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A. 125/126

B. Jan-63

C. 1/126

D. 62/63

1486. Pipe A can fill a tank in 5 hours, pipe B in 10 hours and pipe C in 30 hours. If all the pipes are open, in how many hours will the tank be filled?
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A. 3

B. 2.5

C. 3.5

D. 2

1487. Find the length of the wire required to go 15 times round a square field containing 69696 m<sup>2
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A. 16840 m

B. 15640 m

C. 15820 m

D. 15840 m
1488. A cube of side one meter length is cut into small cubes of side 10 cm each. How many such small cubes can be obtained?
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A. 100

B. 10000

C. 10

D. 1000
1489. Find the lowest common multiple of 24, 36 and 40.
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A. 120

B. 480

C. 360

D. 240

1490. If the roots of a quadratic equation are 20 and -7, then find the equation?
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A. x2 + 13x 140 = 0

B. x2 13x + 140 = 0

C. x2 13x 140 = 0

D. x2 + 13x + 140 = 0

1491. How many shots of 1cm radius can be prepared from a sphere of 3cm radius?
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A. 64

B. 27

C. 36

D. 16

1492. In an examination a pupils average marks were 63 per paper. If he had obtained 20 more marks for his Geography paper and 2 more marks for his History paper, his average per paper would have been 65. How many papers were there in the examination?
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A. 10

B. 8

C. 9

D. 11
1493. 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. 6.5 hrs

C. 7.2 hrs

D. 4.5 hrs

1494. An order was placed for the supply of a carper whose length and breadth were in the ratio of 3 : 2. Subsequently, the dimensions of the carpet were altered such that its length and breadth were in the ratio 7 : 3 but were was no change in its parameter. Find the ratio of the areas of the carpets in both the cases.
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A. 4:01

B. 4:03

C. 8 : 7

D. 6:05

1495. Find the smallest number which when increased by 5, divisible by 6, 9, 15, 20 and 24?
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A. 366

B. 344

C. 355

D. 377

1496. The probability that a number selected at random from the first 50 natural numbers is a composite number is__________?
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A. 17/25

B. 25-Aug

C. 21/25

D. 25-Apr

1497. A cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom. If the cistern is full in what time will the leak empty it?
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A. 45 hrs

B. 75 hrs

C. 90 hrs

D. 60 hrs

1498. A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire?
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A. 18 cm

B. 45 cm

C. 90 cm

D. None of these
1499. The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is________?
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A. 4/3 times its radius

B. 2/3 times its radius

C. Equal to its diameter

D. Equal to its radius

1500. Find the roots of the quadratic equation: x2 + 2x 15 = 0?
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A. -5, 3

B. 3, 5

C. -3, 5

D. -3, -5