# SSC

Explore popular questions from Number System for SSC. This collection covers Number System previous year SSC questions hand picked by experienced teachers.

## Statistics

Number System

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Q 1. Which of the following fraction is the smallest?
{tex} \frac { 7 } { 6 } , \frac { 7 } { 9 } , \frac { 4 } { 5 } , \frac { 5 } { 7 } {/tex}

A

{tex} \frac { 7 } { 6 } {/tex}

B

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

C

{tex} \frac { 4 } { 5 } {/tex}

{tex} \frac { 5 } { 7 } {/tex}

##### Explanation

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Q 2. Which of the following fraction is the smallest?
{tex} \frac { 9 } { 13 } , \frac { 17 } { 26 } , \frac { 28 } { 29 } , \frac { 33 } { 52 } {/tex}

{tex} \frac { 33 } { 52 } {/tex}

B

{tex} \frac { 17 } { 26 } {/tex}

C

{tex} \frac { 9 } { 13 } {/tex}

D

{tex} \frac { 28 } { 29 } {/tex}

##### Explanation

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Q 3. The smallest possible three place decimal number is:

A

0.012

B

0.123

C

0.111

None of the above

##### Explanation

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Q 4. Which of the following fraction is the smallest?
{tex} \frac { 8 } { 15 } , \frac { 14 } { 33 } , \frac { 7 } { 13 } , \frac { 11 } { 13 } {/tex}

A

{tex} \frac { 8 } { 15 } {/tex}

B

{tex} \frac { 7 } { 13 } {/tex}

C

{tex} \frac { 11 } { 13 } {/tex}

{tex} \frac { 14 } { 33 } {/tex}

##### Explanation

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Q 5. Which of the following is the smallest fraction?
{tex} \frac { 8 } { 25 } , \frac { 7 } { 23 } , \frac { 11 } { 23 } , \frac { 14 } { 53 } {/tex}

A

{tex} \frac { 8 } { 25 } {/tex}

B

{tex} \frac { 7 } { 23 } {/tex}

C

{tex} \frac { 11 } { 23 } {/tex}

{tex} \frac { 14 } { 53 } {/tex}

##### Explanation

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Q 6. Which of the following is the largest fraction ?
{tex}\frac { 6 } { 7 } , \frac { 5 } { 6 } , \frac { 7 } { 8 } , \frac { 4 } { 5 } {/tex}

A

{tex} \frac { 6 } { 7 } {/tex}

B

{tex} \frac { 4 } { 5 } {/tex}

C

{tex} \frac { 5 } { 6 } {/tex}

{tex} \frac { 7 } { 8 } {/tex}

##### Explanation

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Q 7. The smallest number of five digits exactly divisible by 476 is

A

47600

B

10000

C

10476

10472

##### Explanation

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Q 8. The least among the fractions {tex} \frac { 15 } { 16 } , \frac { 19 } { 20 } , \frac { 24 } { 25 } , \frac { 34 } { 35 } {/tex} is

A

{tex} \frac { 34 } { 35 } {/tex}

{tex} \frac { 15 } { 16 } {/tex}

C

{tex} \frac { 19 } { 20 } {/tex}

D

{tex} \frac { 24 } { 25 } {/tex}

##### Explanation

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Q 9. The greatest fraction among {tex} \frac { 2 } { 3 } , \frac { 5 } { 6 } , \frac { 11 } { 15 } {/tex} and {tex} \frac { 7 } { 8 } {/tex} is

{tex} \frac { 7 } { 8 } {/tex}

B

{tex} \frac { 11 } { 15 } {/tex}

C

{tex} \frac { 5 } { 6 } {/tex}

D

{tex} \frac { 2 } { 3 } {/tex}

##### Explanation

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Q 10. Which of the following number is the greatest of all ? {tex} 0.9,0.\overline { 9 },0.0\overline { 9 },0 . \overline { 09 } {/tex}

A

0.9

{tex} 0 . \overline { 9 } {/tex}

C

{tex} 0.0 \overline { 9 } {/tex}

D

{tex} 0 . \overline { \mathrm { 09 } } {/tex}

##### Explanation

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Q 11. The greatest value among the fractions {tex} \frac { 2 } { 7 } , \frac { 1 } { 3 } , \frac { 5 } { 6 } , \frac { 3 } { 4 } {/tex} is :

A

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

{tex} \frac { 5 } { 6 } {/tex}

C

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

D

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

##### Explanation

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Q 12. The least number of five digits which has 123 as a factor is

A

10037

10086

C

10081

D

10063

##### Explanation

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Q 13. The greatest among the following numbers {tex} ( 3 ) ^ { \frac { 1 } { 3 } } , ( 2 )^{\frac { 1 } { 2 }} , 1 , ( 6 ) ^ { \frac { 1 } { 6 } } {/tex} is:

A

{tex} ( 2 ) ^ { \frac { 1 } { 2 } } {/tex}

B

1

C

{tex} ( 6 ) ^ { \frac { 1 } { 6 } } {/tex}

{tex} ( 3 ) ^ { \frac { 1 } { 3 } } {/tex}

##### Explanation

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Q 14. When 335 is added to {tex} 5 \mathrm { A } 7 {/tex}, the result is {tex} 8 \mathrm { B } 2 {/tex}. {tex} 8 \mathrm { B } 2 {/tex} is divisible by {tex} 3 . {/tex} What is the largest possible value of {tex} \mathrm { A } ? {/tex}

A

8

B

2

C

1

4

##### Explanation

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Q 15. If a number is as much greater than 31 as it is less than {tex} 75 , {/tex} then the number is

A

106

B

44

C

74

53

##### Explanation

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Q 16. The greatest number among 0.7 {tex} + \sqrt { 0.16 } , 1.02 - \frac { 0.6 } { 24 } , 1.2 \times 0.83 {/tex} and {tex} \sqrt { 1.44 } {/tex} is :

A

{tex} 0.7 + \sqrt { 0.16 } {/tex}

{tex} \sqrt { 1.44 } {/tex}

C

{tex} 1.2 \times 0.83 {/tex}

D

{tex} 1.02 - \frac { 0.6 } { 24 } {/tex}

##### Explanation

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Q 17. Which is the largest of the following fractions? {tex} \frac { 2 } { 3 } , \frac { 3 } { 5 } , \frac { 8 } { 11 } , \frac { 11 } { 17 } {/tex}

{tex} \frac { 8 } { 11 } {/tex}

B

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

C

{tex} \frac { 11 } { 17 } {/tex}

D

{tex} \frac { 2 } { 3 } {/tex}

##### Explanation

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Q 18. Sum of three fractions is {tex} 2 \frac { 11 } { 24 } {/tex} On dividing the largest fraction by the smallest fraction, {tex} \frac { 7 } { 6 } {/tex} is obtained which is {tex} \frac { 1 } { 3 } {/tex} greater than the middle fraction. The smallest fraction is

A

{tex} \frac { 5 } { 8 } {/tex}

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

C

{tex} \frac { 5 } { 6 } {/tex}

D

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

##### Explanation

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Q 19. Arrangement of the fractions {tex} \frac { 4 } { 3 } {/tex}, {tex} - \frac { 2 } { 9 } , - \frac { 7 } { 8 } , \frac { 5 } { 12 } {/tex} into ascending order is

{tex} - \frac { 7 } { 8 } , - \frac { 2 } { 9 } , \frac { 5 } { 12 } , \frac { 4 } { 3 } {/tex}

B

{tex} - \frac { 7 } { 8 } , - \frac { 2 } { 9 } , \frac { 4 } { 3 } , \frac { 5 } { 12 } {/tex}

C

{tex} - \frac { 2 } { 9 } , - \frac { 7 } { 8 } , \frac { 5 } { 12 } , \frac { 4 } { 3 } {/tex}

D

{tex} - \frac { 2 } { 9 } , - \frac { 7 } { 8 } , \frac { 4 } { 3 } , \frac { 5 } { 12 } {/tex}

##### Explanation

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Q 20. Which of the following is correct?

A

{tex} \frac { 2 } { 3 } < \frac { 3 } { 5 } < \frac { 11 } { 15 } {/tex}

{tex} \frac { 3 } { 5 } < \frac { 2 } { 3 } < \frac { 11 } { 15 } {/tex}

C

{tex} \frac { 11 } { 15 } < \frac { 3 } { 5 } < \frac { 2 } { 3 } {/tex}

D

{tex} \frac { 3 } { 5 } < \frac { 11 } { 15 } < \frac { 2 } { 3 } {/tex}

##### Explanation

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Q 21. A number when divided by 899 gives a remainder {tex} 63 . {/tex} If the same number is divided by {tex} 29 , {/tex} the remainder will be:

A

10

5

C

4

D

2

##### Explanation

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Q 22. {tex} \frac { 1 } { 0.04 } {/tex} is equal to :

A

{tex} \frac { 1 } { 40 } {/tex}

B

{tex} \frac { 2 } { 5 } {/tex}

C

{tex} \frac { 5 } { 2 } {/tex}

25

##### Explanation

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Q 23. A six digit number is formed by repeating a three digit number for example, {tex} 256,256 {/tex} or 678 , 678 etc. Any number of this, form is always exactly divisible by :

A

7 only

B

11 only

C

13 only

1001