CBSE Class 9 Maths Chapter 1 Number System Test.

CBSE CLASS 9 | MATHS | Chapter 1 Real Numbers

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1. Every rational number is:

A. Real number

B. Natural number

C. Integer

D. Whole number

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2. 3√6 + 4√6 is equal to:

A. 4√12

B. 7√12

C. 7√6

D. 6√6

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3. 4√5 + 5√5 is equal to:

A. 9√10

B. 7√5

C. 5√10

D. 9√5

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4. What would be the denominator after rationalizing 7/(5√3 – 5√2)?

A. 20

B. 25

C. 19

D. None of these

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5. Which of the following is irrational?

A. 0.14

B. 0.14161616...

C. 0.14161416...

D. 0.4014001400014...

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6. A rational number between √2 and √3:

A. (√2. √3)/2

B. 1.9

C. 1.8

D. 1.5

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7. Which of the following are irrational numbers?

A. √23

B. √225

C. 7.478478

D. 0.3796

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8. √9 is a __________ number.

A. None of the above

B. Rational

C. Neither rational or irrational

D. Irrational

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9. Can we write 0 in the form of p/q?

A. Cannot be explained

B. No

C. Yes

D. None of the above

Explanation: 0 is a rational number and hence it can be written in the form of p/q.

Example: 0/4 = 0

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10. Which of the following is irrational?

A. √5

B. √12./√3

C. √4./√9

D. √81

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11. Which of the following is equal to x³?

A. x6/x3

B. (x6)3

C. x6.x3

D. x6-x3

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12. Which of the following is an irrational number?

A. √100

B. √16

C. √12

D. √(12/3)

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13. Value of (256)^0.16 X (256)^0.09 is:

A. 64

B. 4

C. 16

D. 256.25

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14.

A. d

B. a

C. c

D. b

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15. The product of a rational and an irrational numbers is:

A. Sometimes rational and sometimes irrational

B. Always a rational number

C. Always an irrational number

D. Always an integer

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16. In between any two numbers there are:

A. Only one rational number

B. Infinite rational numbers

C. No rational number

D. Many rational numbers

Explanation: Take the reference from question number 2 explained above

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17. The decimal expansion of an irrational number may be:

A. Either terminating or non- terminating

B. Terminating

C. Non-terminating and non-recurring

D. Recurring

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18. In between two rational number there is/are:

A. Many irrational numbers

B. Exactly one rational number

C. Only irrational numbers

D. Infinitely many rational number

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19. The three rational numbers between 3 and 4 are:

A. 5/2,6/2,7/2

B. 11/4,12/4,13/4

C. 13/4,14/4,15/4

D. 12/7,13/7,14/7

Explanation: There are many rational numbers in between 3 and 4

To find 3 rational numbers, we need to multiply and divide both the numbers by 3+1 = 4

Hence, 3 x (4/4) = 12/4 and 4 x (4/4) = 16/4

Thus, three rational numbers between 12/4 and 16/4 are 13/4, 14/4 and 15/4.

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20. √6 x √27 is equal to:

A. 2√2

B. 3√3

C. 9√3

D. 9√2

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