# Number System Questions in Hindi and English

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#### Some more Number System Questions for Practice

If X and Y are the two digits of the number 347XY such that the number is completely divisible by 80, then what is the value of X + Y?

1) 2

2) 4

3) 6

4) 8

**Correct Answer**: 2

What is the value of [12/ (√5 + √3)] + [18/ (√5 – √3)]?

1) 15(√5 – √3)

2) 3(5√5 + √3)

3) 15(√5 + √3)

4) 3(3√5 + √3)

**Correct Answer**: 3(5√5 + √3)

What is the quotient when 7251 is divided by 66?

1) 110

2) 109

3) 111

4) 112

**Correct Answer**: 109

What is the remainder when 6910 is divided by 81?

1) 25

2) 23

3) 21

4) 19

**Correct Answer**: 25

How many numbers are there from 300 to 650 which are completely divisible by both 5 and 7?

1) 8

2) 9

3) 10

4) 12

**Correct Answer**: 10

What least value which should be added to 1812 to make it divisible by 7, 11 and 14?

1) 12

2) 36

3) 72

4) 154

**Correct Answer**: 36

Which one is the largest among the fractions (5/113), (7/120), (13/145) and (17/160)?

1) 5/113

2) 7/120

3) 13/145

4) 17/160

**Correct Answer**: 17/160

How many numbers are there from 700 to 950 (including both) which are neither divisible by 3 nor by 7?

1) 107

2) 141

3) 144

4) 145

**Correct Answer**: 144

How many times the keys of a typewriter have to be pressed in order to write numbers from 121 to 1346?

1) 3675

2) 4018

3) 4021

4) 4025

**Correct Answer**: 4025

How many numbers are there from 2000 to 7000 which are both perfect squares and perfect cubes?

1) 0

2) 1

3) 2

4) 3

**Correct Answer**: 1

How many numbers are there between 1 to 200 which are divisible by 3 but not by 7?

1) 38

2) 45

3) 57

4) 66

**Correct Answer**: 57

By which least number should 5000 be divided so that it becomes a perfect square?

1) 2

2) 5

3) 10

4) 25

**Correct Answer**: 2

A fraction becomes 6/5 when 5 is added to its numerator and becomes 1/2 when 4 is added to its denominator. What will be the value of the fraction?

1) 8/9

2) 7/1 0

3) 7/8

4) 6/11

**Correct Answer**: 7/10

By what least number should 1200 be multiplied so that it becomes a perfect square?

1) 2

2) 3

3) 5

4) 13

**Correct Answer**: 3

If the square of sum of three positive consecutive natural numbers exceeds the sum of their squares by 292, then what is the largest of the three numbers?

1) 5

2) 6

3) 7

4) 8

**Correct Answer**: 8

If 56M4 is completely divisible by 11, then what is the value of M?

1) 0

2) 1

3) 3

4) 5

**Correct Answer**: 5

Which of the following can’t be the unit’s digit of a perfect square?

1) 4

2) 6

3) 8

4) 9

**Correct Answer**: 8

How many numbers are there from 300 to 700 which are divisible by 2, 3 and 7?

1) 7

2) 8

3) 9

4) 10

**Correct Answer**: 9

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