Ques. If the sum of two numbers is 55 and the H.C.F. and L.C.M of these numbers are 5 and 120

respectively, then the sum of the reciprocals of the numbers is equal to:

Op 1: 55/601

Op 2: 601/55

Op 3: 11/120

Op 4: 120/11

Op 5:

Correct Op : 3

Ques. Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and

water respectively. What biggest measure can measure all the different quantities exactly ?

Op 1: 1 litre

Op 2: 7 litre

Op 3: 31 litre

Op 4: 41 litre

Op 5:

Correct Op : 3

Ques. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds

respectively. In 30 minutes, how many times do they toll together ?

Op 1: 4

Op 2: 10

Op 3: 15

Op 4: 16

Op 5:

Correct Op : 4

Ques. Four different electronic devices make a beep after every 30 minutes, 1 hour, 3/2 hour and 1 hour

45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at:

Op 1: 12 midnight

Op 2: 3 a.m.

Op 3: 6 a.m.

Op 4: 9 a.m.

Op 5:

Correct Op : 4

Ques. The number of prime factors of (3 x 5)12 (2 x 7)10 (10)25 is:

Op 1: 47

Op 2: 60

Op 3: 72

Op 4: None of these

Op 5:

Correct Op : 4

Ques. What least value must be assigned to * so that the number 63576*2 is divisible by 8?

Op 1: 1

Op 2: 2

Op 3: 3

Op 4: 4

Op 5:

Correct Op : 3

Ques. Which of the following numbers is exactly divisible by 24 ?

Op 1: 35718

Op 2: 63810

Op 3: 537804

Op 4: 3125736

Op 5:

Correct Op : 4

Ques. The number nearest to 15207, which is divisible by 467, is:

Op 1: 14342

Op 2: 15211

Op 3: 14944

Op 4: 15411

Op 5: None of these

Correct Op : 4

Ques. The smallest number, which is a perfect square and contains 7936 as a factor is:

Op 1: 251664

Op 2: 231564

Op 3: 246016

Op 4: 346016

Op 5: None of these

Correct Op : 3

Ques. In a division problem, the divisor is twenty times the quotient and five times the remainder. If

remainder is 16, the number will be:

Op 1: 3360

Op 2: 336

Op 3: 1616

Op 4: 20516

Op 5: None of these

Correct Op : 2

Ques. The L.C.M. of two numbers is 4800 and their G.C.M. is 160. If one of the numbers is 480, then the

other number is:

Op 1: 1600

Op 2: 1800

Op 3: 2200

Op 4: 2600

Op 5: None of these

Correct Op : 1

Ques. The L.C.M. of two numbers is 140. If their ratio is 2:5, then the numbers are:

Op 1: 28,70

Op 2: 28,7

Op 3: 8,70

Op 4: 8,40

Op 5: None of these

Correct Op : 1

Ques. If a number is exactly divisible by 85, then what will be the remainder when the same number is

divided by 17?

Op 1: 3

Op 2: 1

Op 3: 4

Op 4: 0

Op 5:

Correct Op : 4

Ques. The least perfect square number which is exactly divisible by 3, 4, 7, 10 and 12 is:

Op 1: 8100

Op 2: 17600

Op 3: 44100

Op 4: None of these

Op 5:

Correct Op : 3

Ques. (xn+yn) is divisible by (x-y):

Op 1: for all values of n

Op 2: only for even values of n

Op 3: only for odd values of n

Op 4: for no values of n

Op 5:

Correct Op : 4

Ques. The greatest number that will divide 63, 138 and 228 so as to leave the same remainder in each

case:

Op 1: 15

Op 2: 20

Op 3: 35

Op 4: 40

Op 5:

Correct Op : 1

Ques. Find the largest number, smaller than the smallest four-digit number, which when divided by 4,5,6

and 7 leaves a remainder 2 in each case.

Op 1: 422

Op 2: 842

Op 3: 12723

Op 4: None of these

Op 5:

Correct Op : 2

Ques. What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10?

Op 1: 10

Op 2: 12

Op 3: 14

Op 4: None of these

Op 5:

Correct Op : 1

Ques. If a and b are natural numbers and a-b is divisible by 3, then a3-b3 is divisible by:

Op 1: 3 but not by 9

Op 2: 9

Op 3: 6

Op 4: 27

Op 5:

Correct Op : 2

Ques. What is the greatest positive power of 5 that divides 30! exactly?

Op 1: 5

Op 2: 6

Op 3: 7

Op 4: 8

Op 5:

Correct Op : 3

respectively, then the sum of the reciprocals of the numbers is equal to:

Op 1: 55/601

Op 2: 601/55

Op 3: 11/120

Op 4: 120/11

Op 5:

Correct Op : 3

Ques. Three different containers contain 496 litres, 403 litres and 713 litres of mixtures of milk and

water respectively. What biggest measure can measure all the different quantities exactly ?

Op 1: 1 litre

Op 2: 7 litre

Op 3: 31 litre

Op 4: 41 litre

Op 5:

Correct Op : 3

Ques. Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds

respectively. In 30 minutes, how many times do they toll together ?

Op 1: 4

Op 2: 10

Op 3: 15

Op 4: 16

Op 5:

Correct Op : 4

Ques. Four different electronic devices make a beep after every 30 minutes, 1 hour, 3/2 hour and 1 hour

45 minutes respectively. All the devices beeped together at 12 noon. They will again beep together at:

Op 1: 12 midnight

Op 2: 3 a.m.

Op 3: 6 a.m.

Op 4: 9 a.m.

Op 5:

Correct Op : 4

Ques. The number of prime factors of (3 x 5)12 (2 x 7)10 (10)25 is:

Op 1: 47

Op 2: 60

Op 3: 72

Op 4: None of these

Op 5:

Correct Op : 4

Ques. What least value must be assigned to * so that the number 63576*2 is divisible by 8?

Op 1: 1

Op 2: 2

Op 3: 3

Op 4: 4

Op 5:

Correct Op : 3

Ques. Which of the following numbers is exactly divisible by 24 ?

Op 1: 35718

Op 2: 63810

Op 3: 537804

Op 4: 3125736

Op 5:

Correct Op : 4

Ques. The number nearest to 15207, which is divisible by 467, is:

Op 1: 14342

Op 2: 15211

Op 3: 14944

Op 4: 15411

Op 5: None of these

Correct Op : 4

Ques. The smallest number, which is a perfect square and contains 7936 as a factor is:

Op 1: 251664

Op 2: 231564

Op 3: 246016

Op 4: 346016

Op 5: None of these

Correct Op : 3

Ques. In a division problem, the divisor is twenty times the quotient and five times the remainder. If

remainder is 16, the number will be:

Op 1: 3360

Op 2: 336

Op 3: 1616

Op 4: 20516

Op 5: None of these

Correct Op : 2

Ques. The L.C.M. of two numbers is 4800 and their G.C.M. is 160. If one of the numbers is 480, then the

other number is:

Op 1: 1600

Op 2: 1800

Op 3: 2200

Op 4: 2600

Op 5: None of these

Correct Op : 1

Ques. The L.C.M. of two numbers is 140. If their ratio is 2:5, then the numbers are:

Op 1: 28,70

Op 2: 28,7

Op 3: 8,70

Op 4: 8,40

Op 5: None of these

Correct Op : 1

Ques. If a number is exactly divisible by 85, then what will be the remainder when the same number is

divided by 17?

Op 1: 3

Op 2: 1

Op 3: 4

Op 4: 0

Op 5:

Correct Op : 4

Ques. The least perfect square number which is exactly divisible by 3, 4, 7, 10 and 12 is:

Op 1: 8100

Op 2: 17600

Op 3: 44100

Op 4: None of these

Op 5:

Correct Op : 3

Ques. (xn+yn) is divisible by (x-y):

Op 1: for all values of n

Op 2: only for even values of n

Op 3: only for odd values of n

Op 4: for no values of n

Op 5:

Correct Op : 4

Ques. The greatest number that will divide 63, 138 and 228 so as to leave the same remainder in each

case:

Op 1: 15

Op 2: 20

Op 3: 35

Op 4: 40

Op 5:

Correct Op : 1

Ques. Find the largest number, smaller than the smallest four-digit number, which when divided by 4,5,6

and 7 leaves a remainder 2 in each case.

Op 1: 422

Op 2: 842

Op 3: 12723

Op 4: None of these

Op 5:

Correct Op : 2

Ques. What is the highest power of 5 that divides 90 x 80 x 70 x 60 x 50 x 40 x 30 x 20 x 10?

Op 1: 10

Op 2: 12

Op 3: 14

Op 4: None of these

Op 5:

Correct Op : 1

Ques. If a and b are natural numbers and a-b is divisible by 3, then a3-b3 is divisible by:

Op 1: 3 but not by 9

Op 2: 9

Op 3: 6

Op 4: 27

Op 5:

Correct Op : 2

Ques. What is the greatest positive power of 5 that divides 30! exactly?

Op 1: 5

Op 2: 6

Op 3: 7

Op 4: 8

Op 5:

Correct Op : 3

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