# Tech Mahindra Divisibility Quiz 1

Question 1

Time: 00:00:00
The least perfect square number which is exactly divisible by 3, 4, 7, 10 and 12 is:

8100

8100

17600

17600

44100

44100

None of these

None of these

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Question 2

Time: 00:00:00
(xn+yn) is divisible by (x-y):

for all values of n

for all values of n

only for even values of n

only for even values of n

only for odd values of n

only for odd values of n

for no values of n

for no values of n

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Question 3

Time: 00:00:00
The greatest number that will divide 63, 138 and 228 so as to leave the same remainder in each case:

15

15

20

20

35

35

40

40

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Question 4

Time: 00:00:00
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.

422

422

842

842

12723

12723

None of these

None of these

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Question 5

Time: 00:00:00
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?

10

10

12

12

14

14

None of these

None of these

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Question 6

Time: 00:00:00
If a and b are natural numbers and a-b is divisible by 3, then a3-b3 is divisible by:

3 but not by 9

3 but not by 9

9

9

6

6

27

27

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Question 7

Time: 00:00:00
What is the greatest positive power of 5 that divides 30! exactly?

5

5

6

6

7

7

8

8

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Question 8

Time: 00:00:00
What is the smallest four-digit number which when divided by 6, leaves a remainder of 5 and when divided by 5 leaves a remainder of 3?

1043

1043

1073

1073

1103

1103

None of these

None of these

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Question 9

Time: 00:00:00
P is an integer. P>883. If P-7 is a multiple of 11, then the largest number that will always divide (P+4) (P+15) is:

11

11

121

121

242

242

None of these

None of these

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Question 10

Time: 00:00:00
The least perfect square which is divisible by 3, 4, 5, 6, 8 is:

900

900

1200

1200

2500

2500

3600

3600

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