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Class 8

Explore popular questions from Rational Numbers for Class 8. This collection covers Rational Numbers previous year Class 8 questions hand picked by experienced teachers.

Rational Numbers

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Q 1. The value of {tex}(0.\overline{6} + 0.\overline{7}+0.\overline{8}){/tex} is

A

{tex} \frac { 21 } { 10 } {/tex}

B

{tex} \frac { 19 } { 9 } {/tex}

{tex} \frac { 7 } { 3 } {/tex}

D

None of these

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Q 2. Ismail wanted to type 150 natural numbers. The number of times he had to press the numbered keys, is

A

332

342

C

352

D

None of these

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Q 3. {tex} \left( \frac { 3 } { - 5 } + \frac { 2 } { - 8 } \right) + \ldots \ldots \ldots \ldots \ldots \ldots = \frac { 3 } { - 5 } + \left( \frac { 4 } { - 7 } + \frac { 2 } { - 8 } \right) {/tex}

A

{tex} \frac { 2 } { - 7 } {/tex}

B

{tex} \frac { 2 } { 7 } {/tex}

{tex} \frac { 4 } { - 7 } {/tex}

D

{tex} \frac { 4 } { 7 } {/tex}

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Q 4. {tex} \left( 8 + \frac { - 6 } { 17 } \right) + \left( \frac { - 4 } { 17 } \right) = ( \ldots \ldots \ldots \ldots \ldots \ldots ) + \left( \frac { - 6 } { 17 } + \frac { - 4 } { 17 } \right) {/tex}

A

{tex} \frac { 8 } { 17 } {/tex}

8

C

{tex} \frac { 7 } { 17 } {/tex}

D

7

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Q 5. The rational number {tex} 0 . \overline { 3 } {/tex} can also be written as {tex} \ldots \ldots \ldots \ldots \ldots . {/tex}

A

{tex} \frac { 3 } { 10 } {/tex}

B

{tex} \frac { 33 } { 100 } {/tex}

{tex} \frac { 1 } { 3 } {/tex}

D

333

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Q 6. A rational number between {tex} \frac { 1 } { 5 } {/tex} and {tex} \frac { 2 } { 5 } {/tex} is

A

{tex} \frac { 3 } { 5 } {/tex}

{tex} \frac { 30 } { 100 } {/tex}

C

{tex} \frac { 32 } { 6 } {/tex}

D

{tex} \frac { 20 } { 15 } {/tex}

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Q 7. The sum of {tex} - \frac { 1 } { 9 } {/tex} and {tex} - \frac { 1 } { 9 } {/tex} is

A

{tex}\mathrm{0}{/tex}

B

1

C

{tex} \frac { 2 } { 9 } {/tex}

{tex} \frac { - 2 } { 9 } {/tex}

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Q 8. The multiplicative inverse of {tex} \frac { 1 } { 6 } {/tex} is

A

{tex} - 6 {/tex}

6

C

{tex} - \frac { 1 } { 6 } {/tex}

D

1

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Q 9. The rational number equivalent to {tex} \frac { 9 } { - 18 } {/tex} is

A

{tex} \frac { 18 } { 162 } {/tex}

{tex} \frac { - 81 } { 162 } {/tex}

C

{tex} - \frac { 1 } { 9 } {/tex}

D

{tex} \frac { 1 } { 9 } {/tex}

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Q 10. {tex}\mathrm{0}{/tex} reduced by {tex} \frac { 1 } { 2 } {/tex} is

A

{tex} \frac { 1 } { 2 } {/tex}

{tex} - \frac { 1 } { 2 } {/tex}

C

2

D

{tex} - 2 {/tex}

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Q 11. {tex} - \left| \frac { 3 } { 4 } - \frac { 2 } { 3 } \right| {/tex} is equal to

A

{tex} \frac { 1 } { 12 } {/tex}

{tex} - \frac { 1 } { 12 } {/tex}

C

{tex}- \frac { 17 } { 12 } {/tex}

D

{tex} \frac { 17 } { 12 } {/tex}

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Q 12. The additive inverse of {tex} \frac { - \mathrm { a } } { \mathrm { b } } {/tex} is

A

{tex} \frac { b } { a } {/tex}

B

{tex} \frac { a } { - b } {/tex}

{tex} \frac { a } { b } {/tex}

D

{tex} \frac { - b } { a } {/tex}

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Q 13. 0 is

A

Positive rational number

B

Negative rational number

C

Either positive or negative rational number

Neither positive nor negative rational number

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Q 14. Which of the following statements is true?

A

{tex} \left( \frac { 7 } { 9 } - \frac { 11 } { 12 } \right) + \frac { 2 } { 3 } = \frac { 7 } { 9 } - \left( \frac { 11 } { 12 } + \frac { 2 } { 3 } \right) {/tex}

{tex} \left( \frac { 8 } { 15 } + \frac { 6 } { 5 } \right) - \frac { 5 } { 12 } = \frac { 8 } { 15 } + \left( \frac { 6 } { 5 } - \frac { 5 } { 12 } \right) {/tex}

C

{tex} 8 - \left( 2 \frac { 3 } { 5 } + 2 \frac { 5 } { 12 } \right) = 8 - 2 \frac { 3 } { 5 } + 2 \frac { 5 } { 12 } {/tex}

D

{tex} \frac { 5 } { 2 } - 0 = 0 - \frac { 5 } { 2 } {/tex}

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Q 15. The product of the additive inverse and the multiplicative inverse of {tex} - 3 {/tex} is

A

1

B

0

{tex} - 1 {/tex}

D

{tex} - 9 {/tex}

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Q 16. Which property of multiplication is illustrated by {tex} \frac { - 2 } { 3 } \times \left( \frac { 5 } { 8 } + \frac { - 3 } { 7 } \right) = \left( \frac { - 2 } { 3 } \times \frac { 5 } { 8 } \right) + \left( \frac { - 2 } { 3 } \times \frac { - 3 } { 7 } \right) {/tex}

A

Commutative

Distributive

C

Associative

D

None of these

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Q 17. A rational number between {tex} \frac { 1 } { 3 } {/tex} and {tex} \frac { 1 } { 4 } {/tex} is

A

0.09

{tex} \frac { 7 } { 24 } {/tex}

C

{tex} \frac { 1 } { 24 } {/tex}

D

{tex} \frac { - 1 } { 24 } {/tex}

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Q 18. The difference between the greatest and the least of {tex} \frac { - 5 } { 9 } , \frac { 2 } { 9 } , \frac { - 4 } { 9 } {/tex} is

A

{tex} \frac { - 1 } { 3 } {/tex}

B

{tex}\frac {-2}{9}{/tex}

C

{tex} - 1 {/tex}

{tex} \frac { 7 } { 9 } {/tex}

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Q 19. {tex} 24 \quad {/tex} What should be added to {tex} \frac { - 3 } { 4 } {/tex} to get {tex} ^ { \prime } - 1 ^ { \prime } ? {/tex}

A

{tex} \frac { 1 } { 4 } {/tex}

-{tex} \frac { 1 } { 4 } {/tex}

C

1

D

{tex} - \frac { 3 } { 4 } {/tex}

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Q 20. What should be subtracted form {tex} - \frac { 3 } { 4 } {/tex} to get {tex} ^ { \prime } - 1 ^ { \prime } ? {/tex}

{tex} \frac { 1 } { 4 } {/tex}

B

{tex} - \frac { 1 } { 4 } {/tex}

C

1

D

{tex} - \frac { 3 } { 4 } {/tex}

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Q 21. If {tex} 1 \leq \mathrm { p } \leq 10 , {/tex} then number of prime numbers are there which are of the form {tex} 10 \mathrm { p } + 1 , {/tex} is

A

{tex}\mathrm{10}{/tex}

B

7

6

D

None of these

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Q 22. Which of the following statements is false?

A

{tex}| \frac { - 5 } { 3 } | {/tex} lies on the right of 0 on the number line.

{tex} - | - \mathrm { x } | = \mathrm { x } {/tex} for all rational numbers.

C

{tex} \frac { - 7 } { 17 } {/tex} lies on the left of 0 on the number line

D

Every whole number is a rational number.