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SSC > Simplification

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

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Q 1.

Correct2

Incorrect-0.5

Simplify : {tex} 1 + \frac { 1 } { 1 + \frac { 2 } { 2 + \frac { 3 } { 1 + \frac { 4 } { 5 } } } } {/tex}

{tex} 1 \frac { 11 } { 17 } {/tex}

B

{tex} 1 \frac { 5 } { 7 } {/tex}

C

{tex} 1 \frac { 6 } { 17 } {/tex}

D

{tex} 1 \frac { 21 } { 17 } {/tex}

Explanation

Q 2.

Correct2

Incorrect-0.5

Simplify : {tex} 1 + \frac { 2 } { 1 + \frac { 3 } { 1 + \frac { 4 } { 5 } } } {/tex}

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

B

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

C

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

D

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

Explanation

Q 3.

Correct2

Incorrect-0.5

{tex} \frac { 1 } { 3 + \frac { 1 } { 2 - \frac { 1 } { \frac { 7 } { 9 } } } } + \frac { 17 } { 22 } {/tex} is:

A

{tex} \frac { 12 } { 22 } {/tex}

B

{tex} \frac { 22 } { 5 } {/tex}

C

{tex} \frac { 5 } { 22 } {/tex}

1

Explanation



Q 4.

Correct2

Incorrect-0.5

If {tex} x = 1 + \frac { 1 } { 1 + \frac { 1 } { 1 + \frac { 1 } { 1 + \frac { 1 } { 2 } } } } {/tex} then, the value of {tex} 2 x + \frac { 7 } { 4 } {/tex} is

A

9

B

4

5

D

6

Explanation

Q 5.

Correct2

Incorrect-0.5

Simplify: {tex} \frac { 19 } { 43 } \div \frac { 1 } { 2 + \frac { 1 } { 3 + \frac { 1 } { 1 + \frac { 1 } { 4 } } } } {/tex}

1

B

{tex} \frac { 19 } { 43 } {/tex}

C

{tex} \frac { 43 } { 19 } {/tex}

D

{tex} \frac { 38 } { 43 } {/tex}

Explanation



Q 6.

Correct2

Incorrect-0.5

The simplification of {tex} \frac { 5 } { 3 + \frac { 3 } { 1 - \frac { 2 } { 3 } } } {/tex} gives

A

5

B

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

{tex} \frac { 5 } { 12 } {/tex}

D

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

Explanation

Q 7.

Correct2

Incorrect-0.5

If {tex} 2 = x + \frac { 1 } { 1 + \frac { 1 } { 3 + \frac { 1 } { 4 } } } , {/tex} then the

A

{tex} \frac { 18 } { 17 } {/tex}

{tex} \frac { 21 } { 17 } {/tex}

C

{tex} \frac { 13 } { 17 } {/tex}

D

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

Explanation

Q 8.

Correct2

Incorrect-0.5

Find the value of {tex} \frac { 2 } { 1 + \frac { 1 } { 1 - \frac { 1 } { 2 } } } \times \frac { 3 } { \frac { 5 } { 6 } \text { of } \frac { 3 } { 2 } \div 1 \frac { 1 } { 4 } } {/tex}

A

6

B

8

C

4

2

Explanation

Q 9.

Correct2

Incorrect-0.5

Simplify: {tex} 1 + \frac { 4 } { 2 + \frac { 3 } { 5 - \frac { 1 } { 2 } } } - \frac { 1 } { 2 } ( 10 \div 2 ) {/tex}

A

1

0

C

{tex} - \frac { 15 } { 2 } {/tex}

D

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

Explanation



Q 10.

Correct2

Incorrect-0.5

{tex} 1 + (\frac { 1 } { 10 + \frac { 1 } { 10 } }) \times \left( 1 + \frac { 1 } { 10 + \frac { 1 } { 10 } } \right) - \left( 1 - \frac { 1 } { 10 \cdot \frac { 1 } { 10 } } \right) \times {/tex} {tex} \left. \left( 1 - \frac { 1 } { 10 + \frac { 1 } { 10 } } \right) \right] \div{/tex} {tex} \left[ \left( 1 + \frac { 1 } { 10 + \frac { 1 } { 10 } } \right) + \left( 1 - \frac { 1 } { 10 + \frac { 1 } { 10 } } \right) \right] {/tex} simplifies to

A

{tex} \frac { 100 } { 101 } {/tex}

B

{tex} \frac { 90 } { 101 } {/tex}

{tex} \frac { 20 } { 101 } {/tex}

D

{tex} \frac { 101 } { 100 } {/tex}

Explanation

Q 11.

Correct2

Incorrect-0.5

{tex} \frac { 5 \frac { 9 } { 14 } } { 5 + \frac { 3 } { 3 + \frac { 1 } { \frac { 3 } { 5 } } } } {/tex} is equal to

1

B

1.5

C

2

D

2.5

Explanation

Q 12.

Correct2

Incorrect-0.5

{tex} \frac { 2 } { 2 + \frac { 2 } { 3 + \frac { 2 } { 3 + \frac { 2 } { 3 } } } \times 0.39 } {/tex} is simplified to

A

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

B

2

C

6

None of these

Explanation



Q 13.

Correct2

Incorrect-0.5

{tex} 1 + \frac { 1 } { 1 + \frac { 1 } { 2 } } {/tex} is equal to

A

3

B

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

C

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

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

Explanation

Q 14.

Correct2

Incorrect-0.5

{tex} \frac { 13 } { 48 } {/tex} is equal to

A

{tex} \frac { 1 } { 3 + \frac { 1 } { 1 + \frac { 1 } { 16 } } } {/tex}

B

{tex} \frac { 1 } { 2 + \frac { 1 } { 1 + \frac { 1 } { 8 } } } {/tex}

C

{tex} \frac { 1 } { 3 + \frac { 1 } { 1 + \frac { 1 } { 1 + \frac { 1 } { 8 } } } } {/tex}

{tex} \frac { 1 } { 3 + \frac { 1 } { 1 + \frac { 1 } { 2 + \frac { 1 } { 4 } } } } {/tex}

Explanation



Q 15.

Correct2

Incorrect-0.5

The value of {tex} 1 + \frac { 1 } { 1 + \frac { 1 } { 1 + \frac { 1 } { 1 + \frac { 1 } { 1 + \frac { 2 } { 3 } } } } } {/tex}

A

{tex} \frac { 21 } { 13 } {/tex}

B

{tex} \frac { 17 } { 3 } {/tex}

{tex} \frac { 34 } { 21 } {/tex}

D

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

Explanation



Q 16.

Correct2

Incorrect-0.5

The value of {tex} \frac { 2 \frac { 1 } { 3 } - 1 \frac { 2 } { 11 } } { 3 + \frac { 1 } { 3 + \frac { 1 } { 3 + \frac { 1 } { 3 } } } } {/tex} is

{tex} \frac { 38 } { 109 } {/tex}

B

{tex} \frac { 109 } { 38 } {/tex}

C

1

D

{tex} \frac { 116 } { 109 } {/tex}

Explanation

Q 17.

Correct2

Incorrect-0.5

The value of {tex} 3 + \frac { 3 } { 3 + \frac { 1 } { 3 + \frac { 1 } { 3 } } } {/tex} is

A

{tex} \frac { 40 } { 11 } {/tex}

{tex} \frac { 43 } { 11 } {/tex}

C

{tex} \frac { 46 } { 11 } {/tex}

D

{tex} \frac { 41 } { 11 } {/tex}

Explanation

Q 18.

Correct2

Incorrect-0.5

{tex} 1 + \frac { 1 } { 1 + \frac { 1 } { 5 } } = ? {/tex}

{tex} \frac { 11 } { 6 } {/tex}

B

{tex} \frac { 13 } { 6 } {/tex}

C

{tex} \frac { 15 } { 6 } {/tex}

D

None of the above

Explanation

Q 19.

Correct2

Incorrect-0.5

{tex} \frac { 4 \frac { 2 } { 7 } - \frac { 1 } { 2 } } { 3 \frac { 1 } { 2 } + 1 \frac { 1 } { 7 } } \div \frac { 1 } { 2 + \frac { 1 } { 2 + \frac { 1 } { 5 - \frac { 1 } { 5 } } } } {/tex}

A

1

B

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

2

D

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

Explanation



Q 20.

Correct2

Incorrect-0.5

If {tex} \left[ 4 - \frac { 5 } { 1 + \frac { 1 } { 3 + \frac { 1 } { 2 + \frac { 1 } { 4 } } } } \right] ^ { t h } {/tex} part of a journey takes 10 minutes, then to complete {tex} \frac { 3 } { 5 }^{th} {/tex} of that journey, it will take

A

40 minutes

B

45 minutes

48 minutes

D

36 minutes

Explanation



Q 21.

Correct2

Incorrect-0.5

{tex} \sqrt { \frac { 4 \frac { 1 } { 7 } - 2 \frac { 1 } { 4 } } { 3 \frac { 1 } { 2 } + 1 \frac { 1 } { 7 } } \div \frac { 2 } { 2 + \frac { 1 } { 2 + \frac { 1 } { 5 - \frac { 1 } { 5 } } } } } {/tex}
is equal to

1

B

4

C

3

D

2

Explanation



Q 22.

Correct2

Incorrect-0.5

The value of {tex} 1 + \frac { 1 } { 1 + \frac { 2 } { 3 + \frac { 4 } { 5 } } } {/tex} is

A

{tex} \frac { 12 } { 29 } {/tex}

B

{tex} \frac { 8 } { 19 } {/tex}

{tex} \frac { 48 } { 29 } {/tex}

D

{tex} \frac { 2 } { 19 } {/tex}

Explanation

Q 23.

Correct2

Incorrect-0.5

The value of {tex} 1 - \frac { a } { 1 - \frac { 1 } { 1 + \frac { a } { 1 - a } } } {/tex} is

A

{tex} a {/tex}

B

{tex} 1 - a {/tex}

C

1

0

Explanation



Q 24.

Correct2

Incorrect-0.5

On simplification, the expression {tex} \frac { 4 \frac { 1 } { 7 } - 2 \frac { 1 } { 7 } } { 3 \frac { 1 } { 2 } + 1 \frac { 1 } { 7 } } \div \frac { 1 } { 2 + \frac { 1 } { 2 + \frac { 1 } { 5 - \frac { 1 } { 5 } } } } {/tex} is equal to

A

{tex} \frac { 28 } { 65 } {/tex}

B

{tex} \frac { 24 } { 53 } {/tex}

{tex} \frac { 56 } { 53 } {/tex}

D

{tex} \frac { 14 } { 65 } {/tex}

Explanation



Q 25.

Correct2

Incorrect-0.5


Simplifies to

A

{tex} \frac { 20 } { 101 } {/tex}

B

{tex} \frac { 100 } { 101 } {/tex}

C

2

none of these

Explanation



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