Important MCQs from Class 9 Maths Chapter 1.1 (Number Systems)

Important MCQs from Class 9 Maths Chapter 1.1-Number Systems

1. Which of the following sets contains only rational numbers?
(a) {√2, 3, 1/2}
(b) {1/3, -5, 0.25}
(c) {π, 2, 5/7}
(d) {√5, √7, 8}

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2. Identify the incorrect statement:

(A) All natural numbers are whole numbers.
(B) All integers are rational numbers.
(C) All rational numbers are integers.
(D) Every integer can be written as a rational number.

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3. Choose the correct option:

Assertion (A): Every integer is a rational number.
Reason (R): Integers start from zero.

(A) Both (A) and (R) are true, and (R) is the correct explanation of (A).

(B) Both (A) and (R) are true, but (R) is not the correct explanation of (A).

(C) (A) is true, but (R) is false.

(D) (A) is false, but (R) is true.

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4. Choose the correct option:

Assertion (A): Every whole number is a natural number.
Reason (R): Whole numbers include 0.

(A) Both (A) and (R) are true, and (R) is the correct explanation of (A).

(B) Both (A) and (R) are true, but (R) is not the correct explanation of (A).

(C) (A) is true, but (R) is false.

(D) (A) is false, but (R) is true.

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5. The number 5 belongs to which of the following sets?

(A) Only Natural Numbers
(B) Only Whole Numbers
(C) Only Integers
(D) Natural Numbers, Whole Numbers, Integers, and Rational Numbers

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6. Which of the following is a rational number?

(A) √3​
(B) $\pi$
(C) $0.333\dots$
(D) √7​

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7. Between any two given rational numbers, there are:

(A) No rational numbers
(B) Exactly one rational number
(C) Infinitely many rational numbers
(D) Exactly two rational numbers

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8. Every rational number is a:

(A) Natural number
(B) Whole number
(C) Integer
(D) Real number

Answer: (D)

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9. How many rational numbers can be found between 1 and 2?

(A) Finite number
(B) Zero
(C) Infinitely many
(D) Only one

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10. A rational number can be expressed in the form p/q ​, where $p$ and $q$ are integers and:

(A) $q=0$
(B) $q\; \ne 0$
(C) $p=0$
(D) $p\; \ne 0$

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11. The set of integers includes:

(A) Only positive numbers
(B) Only negative numbers
(C) Positive numbers, negative numbers, and zero
(D) Only positive and negative numbers

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12. The set of rational numbers is denoted by:
(a) Z
(b) Q
(c) N
(d) R

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13. Every point on the number line represents:

(A) A natural number
(B) A rational number
(C) A unique real number
(D) An irrational number

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