Ques 11 : Choose the correct answer.

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:

Option 2 : 1800

Option 3 : 2200

Option 4 : 2600

Option 5 : None of these

Ques 12 : Choose the correct answer.

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

Option 2 : 28,7

Option 3 : 8,70

Option 4 : 8,40

Option 5 : None of these

Ques 13 : Choose the correct answer.

If a number is exactly divisible by 85, then what will be the remainder when the same number is divided by 17?

Option 1 : 3

Option 2 : 1

Option 3 : 4

Ques 14 : Choose the correct answer.

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

Option 1 : 8100

Option 2 : 17600

Option 4 : None of these

Ques 15 : Choose the correct answer.

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

Option 1 : for all values of n

Option 2 : only for even values of n

Option 3 : only for odd values of n

Ques 16 : Choose the correct answer.

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

Option 2 : 20

Option 3 : 35

Option 4 : 40

Ques 17 : Choose the correct answer.

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.

Option 1 : 422

Option 3 : 12723

Option 4 : None of these

Ques 18 : Choose the correct answer.

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?

Option 2 : 12

Option 3 : 14

Option 4 : None of these

Ques 19 : Choose the correct answer.

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

Option 1 : 3 but not by 9

Option 3 : 6

Option 4 : 27

Ques 20 : Choose the correct answer.

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

Option 1 : 5

Option 2 : 6

Option 4 : 8

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:

**Option 1 : 1600**Option 2 : 1800

Option 3 : 2200

Option 4 : 2600

Option 5 : None of these

Ques 12 : Choose the correct answer.

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

**Option 1 : 28,70**Option 2 : 28,7

Option 3 : 8,70

Option 4 : 8,40

Option 5 : None of these

Ques 13 : Choose the correct answer.

If a number is exactly divisible by 85, then what will be the remainder when the same number is divided by 17?

Option 1 : 3

Option 2 : 1

Option 3 : 4

**Option 4 : 0**Ques 14 : Choose the correct answer.

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

Option 1 : 8100

Option 2 : 17600

**Option 3 : 44100**Option 4 : None of these

Ques 15 : Choose the correct answer.

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

Option 1 : for all values of n

Option 2 : only for even values of n

Option 3 : only for odd values of n

**Option 4 : for no values of n**Ques 16 : Choose the correct answer.

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

**Option 1 : 15**Option 2 : 20

Option 3 : 35

Option 4 : 40

Ques 17 : Choose the correct answer.

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.

Option 1 : 422

**Option 2 : 842**Option 3 : 12723

Option 4 : None of these

Ques 18 : Choose the correct answer.

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?

**Option 1 : 10**Option 2 : 12

Option 3 : 14

Option 4 : None of these

Ques 19 : Choose the correct answer.

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

Option 1 : 3 but not by 9

**Option 2 : 9**Option 3 : 6

Option 4 : 27

Ques 20 : Choose the correct answer.

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

Option 1 : 5

Option 2 : 6

**Option 3 : 7**Option 4 : 8

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