# First Naukri Number System Quiz -1

Question 1

Time: 00:00:00
The sum of the factors of a number is 39. What is the number?

36

36

9

9

18

18

20

20

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Question 2

Time: 00:00:00
How many factors of 2700 are perfect squares?

10

10

8

8

16

16

20

20

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Question 3

Time: 00:00:00
How many factors of $2^{3} * 5^{2} * 7^{8}$ are odd numbers?

16

16

27

27

24

24

28

28

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Question 4

Time: 00:00:00
Number of even factors of $2^{3} * 5^{2} * 7^{8} * 10^{3}$ are:

324

324

378

378

320

320

424

424

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Question 5

Time: 00:00:00
If a three-digit number ‘pqr’ has 4 factors, how many factors does the 6-digit number ‘pqrpqr’ have?

32

32

20

20

24

24

28

28

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Question 6

Time: 00:00:00
Numbers W, X, Y, and Z have 49, 7, 21, and 81 factors. Which of these could be a perfect cube?

W and Y

W and Y

W and X

W and X

W,X, and Y

W,X, and Y

X and Z

X and Z

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Question 7

Time: 00:00:00
Find the smallest number that has exactly 30 factors.

720

720

1080

1080

540

540

350

350

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Question 8

Time: 00:00:00
A number $x^{2}$ has 21 factors. How many factors can x have?

8 or 11

8 or 11

5 or 12

5 or 12

7 or 9

7 or 9

10 or 14

10 or 14

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Question 9

Time: 00:00:00
How many of the integers 1, 2, … , 250 are divisible by 3 and 5 but not by 2?

16

16

8

8

24

24

6

6

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Question 10

Time: 00:00:00
A B de Devilliers was a good student in a school of South Africa. One day he got a problem “ If a and b are positive integers such that $a^{a} = 2^{160}$ and $a^{2} + 2^{a}$ is an integral multiple of $2^{b}$, then the largest possible b is?”. The answer of this question is

10

10

15

15

8

8

7

7

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["0","40","60","80","100"]
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