# TCS NQT Divisibility Questions and Answers Quiz 1

Question 1

Time: 00:00:00
If a positive integer n is divided by 5, the remainder is 3. Which of the numbers below yields a remainder of 0 when it is divided by 5?

n + 3

n + 3

n + 2

n + 2

n - 1

n - 1

n - 2

n - 2

n + 1

n + 1

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Question 2

Time: 00:00:00
If an integer n is divisible by 3, 5 and 12, what is the next larger integer divisible by all these numbers?

n + 3

n + 3

n + 5

n + 5

n + 12

n + 12

n + 60

n + 60

n + 15

n + 15

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Question 3

Time: 00:00:00
Which of these numbers is not divisible by 3?

339

339

342

342

552

552

1111

1111

672

672

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Question 4

Time: 00:00:00
What is the smallest positive 2-digit whole number divisible by 3 and such that the sum of its digits is 9?

27

27

33

33

72

72

18

18

90

90

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Question 5

Time: 00:00:00
If n is an integer, when (2n + 2)² is divided by 4 the remainder is

Zero

Zero

2

2

3

3

4

4

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Question 6

Time: 00:00:00
Let N = 80pq2pq (7digit number). If N is exactly divisible by 120 then the sum of the digits in N is equal to:

18

18

22

22

24

24

12

12

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Divisible by 8 and 10so last 3 digit should be 240

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Question 7

Time: 00:00:00
If 53p26p3 is a 7 digit number divisible by 9 and if 757qp is divisible by 8 then the minimum value of p + q is:

4

4

8

8

12

12

16

16

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Divisible by 9 so p=4 and divisible by 8 so q=0

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Question 8

Time: 00:00:00
Find the remainder when 1201 × 1203 ×1205 × 1207 is divided by 6.

5

5

3

3

9

9

6

6

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Question 9

Time: 00:00:00
Find the remainder when 1! + 2! + 3! + 4! + 5! + .......100! is divided by 24.

5

5

11

11

7

7

9

9

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Question 10

Time: 00:00:00
123456789101112.... . 434445 . Find the remainder when divided by 45?

5

5

1

1

3

3

Zero

Zero

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["0","40","60","80","100"]
["Need more practice! \r\n","Keep trying! \r\n","Not bad! \r\n","Good work! \r\n","Perfect! \r\n"]

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