Class 9 Exam > Class 9 Tests > Test: Number System- Assertion & Reason Type Questions - Class 9 MCQ
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Test: Number System- Assertion & Reason Type Questions - Question 1

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : 5 is a rational number.

Reason : The square roots of all positive integers are irrationals.

Detailed Solution for Test: Number System- Assertion & Reason Type Questions - Question 1

Test: Number System- Assertion & Reason Type Questions - Question 2

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : Sum of two irrational numbers is an irrational number.

Reason : Sum of a rational number and an irrational numbers is always an irrational number.

Detailed Solution for Test: Number System- Assertion & Reason Type Questions - Question 2

Test: Number System- Assertion & Reason Type Questions - Question 3

DIRECTION : In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:

Assertion : 7^{8} ፥ 7^{4} = 7^{4}

Reason : If a > 0 be a real number and p and q be rational numbers. Then a^{p} x a^{q} = a^{p + q}.

Detailed Solution for Test: Number System- Assertion & Reason Type Questions - Question 3

Test: Number System- Assertion & Reason Type Questions - Question 4

Assertion : √5 is an irrational number.

Reason : A number is called irrational, if it cannot be written in the form p/q, where p and q are integers and q ≠ 0.

Detailed Solution for Test: Number System- Assertion & Reason Type Questions - Question 4

Test: Number System- Assertion & Reason Type Questions - Question 5

Assertion : The rationalizing factor of 3 + 2√5 is 3 – 2√5.

Reason : If the product of two irrational numbers is rational then each one is called the rationalising factor of the other.

Detailed Solution for Test: Number System- Assertion & Reason Type Questions - Question 5

Test: Number System- Assertion & Reason Type Questions - Question 6

Assertion : Rational number lying between two rational numbers x and y is

½ (x + y).

Reason : There is one rational number lying between any two rational numbers.

Detailed Solution for Test: Number System- Assertion & Reason Type Questions - Question 6

Test: Number System- Assertion & Reason Type Questions - Question 7

Assertion : Sum of two irrational numbers 2 + √3 and 4 + √3 is irrational number.

Reason : Sum of two irrational numbers is always an irrational number.

Detailed Solution for Test: Number System- Assertion & Reason Type Questions - Question 7

Test: Number System- Assertion & Reason Type Questions - Question 8

Assertion : 11^{3} x 11^{4} = 11^{12}

Reason : If a > 0 be a real number and p and q be rational numbers.

Then a^{p} x a^{q} = a^{p} + ^{q}.

Detailed Solution for Test: Number System- Assertion & Reason Type Questions - Question 8

Test: Number System- Assertion & Reason Type Questions - Question 9

Q. Assertion : Rational number lying between

Reason : Rational number lying between two rational numbers x and y is ½(x y).

Detailed Solution for Test: Number System- Assertion & Reason Type Questions - Question 9

Test: Number System- Assertion & Reason Type Questions - Question 10

Assertion : 0.329 is a terminating decimal.

Reason : A decimal in which a digit or a set of digits is repeated periodically, is called a repeating, or a recurring, decimal.

Detailed Solution for Test: Number System- Assertion & Reason Type Questions - Question 10

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