Real Numbers Mock Tests

32 questions available

Real Numbers Mock Test 1

Questions: 30

Real Numbers Mock Test 2

Questions: 2

Sample Questions

Class 10 Mathematics

The HCF of 144, 180 and 216 is:

A 12

B 24

C 36

D 72

Class 10 Mathematics

If the HCF of 408 and 24 is 8, then their LCM is:

A 1224

B 1020

C 816

D 240

Class 9 Mathematics

The rational number 0.5 can be expressed as p/q where p and q are coprime. The values of p and q are:

A p = 1, q = 2

B p = 5, q = 1

C p = 1, q = 5

D p = 5, q = 10

Class 10 Mathematics

Prove that √2 is an irrational number.

A Assume √2 = p/q where p and q are coprime. Then 2q² = p², so p is even. Let p = 2k, then q² = 2k², so q is even. Both p and q are even, contradicting coprimality. Hence √2 is irrational.

B Assume √2 = p/q. Then p² = 2q². This means q² is odd, so q is odd. Also p² is even, so p is even. Since one is odd and one is even, they cannot be coprime. Hence √2 is irrational.

C Assume √2 = p/q. Then p² = 2q². This means p is odd. By infinite descent, we can keep dividing by 2 forever, which is impossible. Hence √2 is irrational.

D Assume √2 = p/q. Then p² + q² = 2. This has no integer solutions. Hence √2 is irrational.

Class 9 Mathematics

The product of two rational numbers is always:

A Irrational

B Rational

C Integer only

D Whole number only

Class 9 Mathematics

The value of (1/2)⁻¹ is:

A 2

B 1/2

C -2

D -1/2

Class 10 Mathematics

The HCF of two numbers is 9 and their LCM is 360. If one of the numbers is 45, find the other number.

A 72

B 80

C 64

D 90

Class 9 Mathematics

The value of √(16 × 81) is:

A 36

B 128

C 64

D 14

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