Number System | Free Mock Test 2026 | 100 MCQs

Question 1

Which of the following numbers is irrational?

Accepted Answer

B) √2

Question 2

What is the smallest prime number?

Accepted Answer

C) 2

Question 3

How many prime numbers are there between 1 and 10?

Accepted Answer

C) 4

Question 4

The sum of the first five prime numbers is:

Accepted Answer

B) 28

Question 5

Which of the following is a rational number?

Accepted Answer

C) 0.75

Question 6

How many even prime numbers exist?

Accepted Answer

B) 1

Question 7

What is the value of 0.666... + 0.333...?

Accepted Answer

B) 1

Question 8

Which of the following is NOT a composite number?

Accepted Answer

C) 97

Question 9

The total number of positive factors of 72 is:

Accepted Answer

B) 12

Question 10

How many perfect squares lie between 100 and 200, excluding both 100 and 200?

Accepted Answer

B) 4

Question 11

Which of the following numbers is divisible by 3?

Accepted Answer

B) 234

Question 12

A number divisible by both 2 and 3 must also be divisible by:

Accepted Answer

D) 6

Question 13

Which of the following numbers is divisible by 9?

Accepted Answer

B) 234

Question 14

If the 3-digit number 5x2 is divisible by 9, the digit x is:

Accepted Answer

B) 2

Question 15

If a number is divisible by 12, it must be divisible by:

Accepted Answer

B) 3 and 4

Question 16

Which of the following numbers is divisible by 11?

Accepted Answer

A) 121

Question 17

The number 71x3 is divisible by 9. The digit x is:

Accepted Answer

C) 7

Question 18

Find the least positive number that must be added to 3452 to make it divisible by 7.

Accepted Answer

D) 6

Question 19

The greatest 3-digit number divisible by 24 is:

Accepted Answer

B) 984

Question 20

Which of the following numbers is divisible by 11?

Accepted Answer

A) 1089

Question 21

When 17 is divided by 5, the remainder is:

Accepted Answer

B) 2

Question 22

The remainder when 100 is divided by 9 is:

Accepted Answer

A) 1

Question 23

Which of the following numbers leaves remainder 2 when divided by 6?

Accepted Answer

B) 26

Question 24

The remainder when 2¹⁰ is divided by 7 is:

Accepted Answer

B) 2

Question 25

The smallest number greater than 50 that leaves remainder 3 when divided by 7 is:

Accepted Answer

B) 52

Question 26

The remainder when 12345 is divided by 11 is:

Accepted Answer

C) 3

Question 27

The remainder when 7¹⁰⁰ is divided by 5 is:

Accepted Answer

B) 1

Question 28

The remainder when 3⁵⁰ is divided by 8 is:

Accepted Answer

B) 1

Question 29

The remainder when 123 × 124 × 125 is divided by 6 is:

Accepted Answer

A) 0

Question 30

Find the least positive number which leaves remainder 4 when divided by 6 and remainder 2 when divided by 7.

Accepted Answer

C) 16

Question 31

The LCM of 4 and 6 is:

Accepted Answer

B) 12

Question 32

The LCM of 5 and 7 is:

Accepted Answer

A) 35

Question 33

The LCM of 12, 15, and 20 is:

Accepted Answer

C) 60

Question 34

The LCM and HCF of two numbers are 72 and 12 respectively. If one number is 24, the other number is:

Accepted Answer

C) 36

Question 35

The LCM of the fractions 2/3, 4/9, and 8/27 is:

Accepted Answer

A) 8/3

Question 36

The smallest number exactly divisible by 16, 18, 24, and 30 is:

Accepted Answer

C) 720

Question 37

The LCM of 24, 36, and 60 is:

Accepted Answer

C) 360

Question 38

The HCF of 12 and 18 is:

Accepted Answer

C) 6

Question 39

The HCF of 17 and 23 is:

Accepted Answer

A) 1

Question 40

The HCF of 36 and 48 is:

Accepted Answer

C) 12

Question 41

The HCF of the fractions 5/6, 10/9, and 25/12 is:

Accepted Answer

A) 5/36

Question 42

The greatest number which divides both 24 and 40 exactly is:

Accepted Answer

C) 8

Question 43

The HCF of 84, 126, and 168 is:

Accepted Answer

C) 42

Question 44

The HCF of 0.54 and 1.8 is:

Accepted Answer

A) 0.18

Question 45

Two bells ring at intervals of 6 minutes and 8 minutes. If they ring together at 10:00 AM, the next time they ring together is:

Accepted Answer

D) 10:24 AM

Question 46

Two numbers have HCF 6 and LCM 36. If one number is 12, the other is:

Accepted Answer

C) 18

Question 47

The greatest number which divides 27, 41, and 50 leaving remainders 3, 5, and 2 respectively is:

Accepted Answer

D) 12

Question 48

Three wheels rotate in 10, 12, and 18 seconds respectively. Starting together, after how many seconds will they all be together again at the starting point?

Accepted Answer

C) 180

Question 49

The least number which when divided by 12, 15, and 18 leaves remainder 5 in each case is:

Accepted Answer

B) 185

Question 50

The greatest number which divides 130, 245, and 305 leaving the same remainder is:

Accepted Answer

A) 5

Question 51

Simplify: 8 + 2 × 5

Accepted Answer

A) 18

Question 52

Simplify: 10 − 4 ÷ 2

Accepted Answer

D) 8

Question 53

Simplify: (3 + 5) × 2

Accepted Answer

C) 16

Question 54

Simplify: 18 ÷ 3 × 2

Accepted Answer

C) 12

Question 55

Simplify: 12 + 18 ÷ 3 − 2 × 4

Accepted Answer

C) 10

Question 56

Simplify: 5 + 2 × (8 − 3)²

Accepted Answer

B) 55

Question 57

Simplify: 36 ÷ 6(1 + 2)

Accepted Answer

C) 18

Question 58

Simplify: [10 − {2 + (6 ÷ 2)}] × 3

Accepted Answer

D) 15

Question 59

Simplify: 4 + 3 × {6 − 4 ÷ (2 + 2)}

Accepted Answer

C) 19

Question 60

Simplify: 0.2 + 0.8 ÷ 0.4 × 0.1

Accepted Answer

B) 0.4

Question 61

Simplify: √50

Accepted Answer

B) 5√2

Question 62

Rationalize the denominator: 1/√2

Accepted Answer

B) √2/2

Question 63

Simplify: √18 + √8

Accepted Answer

A) 5√2

Question 64

Simplify: (√3 + √2)(√3 − √2)

Accepted Answer

A) 1

Number System | Free Mock Test 2026 | 100 MCQs

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Section	Questions
Number System	30
LCM & HCF	20
Simplification	25
Decimal Fractions	10
Percentage	15

Number System | Free Mock Test 2026 | 100 MCQs

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