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SSC

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

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Q 1. If {tex} \log(0.57)=1.756{/tex} then the value of {tex} \log57 +\log(0.57)^3 + \log\sqrt{0.57}{/tex} is:

0.902

B

1.902

C

1.146

D

2.146

Explanation


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Q 2. If {tex} \log _ { 10 } 2 = 0.3010 {/tex} is given, then {tex} \log _ { 2 } 10 {/tex} is equal to :

A

0.301

B

0. 6990

{tex} \frac { 1000 } { 301 } {/tex}

D

{tex} \frac { 699 } { 301 } {/tex}

Explanation

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Q 3. The simplified form of {tex} \left( \log \frac { 75 } { 16 } - 2 \log \frac { 5 } { 9 } + \log \frac { 32 } { 243 } \right) {/tex} is

{tex} \log 2 {/tex}

B

{tex} 2 \log 2 {/tex}

C

{tex} \log 3 {/tex}

D

{tex} \log 5 {/tex}

Explanation

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Q 4. If the number of items of a set {tex}A{/tex} be {tex} n ( A ) = 40 , n ( B ) = 26 {/tex} and {tex} d {/tex} {tex} n ( A \cap B ) = 16 , {/tex} then {tex} n(AUB){/tex} is equal to

A

30

B

40

50

D

60

Explanation

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Q 5. A die with faces numbered from {tex}1{/tex} to {tex}6{/tex} is thrown twice. The probability, that the numbers shown up differ by {tex} 2 , {/tex} is

A

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

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

C

{tex} \frac { 3 } { 9 } {/tex}

D

{tex} \frac { 4 } { 9 } {/tex}

Explanation

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Q 6. A coin is tossed thrice. The probability that exactly two heads show up is

A

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

B

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

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

D

{tex} \frac { 4 } { 8 } {/tex}

Explanation

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Q 7. There are 222 red balls in a basket. A boy takes out 6 red balls from it and replaces them by 12 white balls. He continues to do so till all the red balls are replaced by white balls. Determine the number of white balls put in the basket.

444

B

111

C

333

D

222

Explanation

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Q 8. A wall-clock takes 9 seconds in tringing at 9 O'clock. The time, it will take in tringing at 11 O'clock, is
[Note : The wall-clock trings 9 times at 9 O'clock and 11 times at 11 O'clock. ]

A

10 seconds

11 seconds

C

11.25 seconds

D

10.80 seconds

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Q 9. The length of a minute hand of a clock is {tex} 7 \mathrm { cm } {/tex}. The area swept by the minute hand in 30 minutes is :

A

210 {tex} \mathrm { sq } \cdot \mathrm { cm } {/tex}

B

154 {tex}\mathrm { sq.cm } {/tex}

77 {tex} \mathrm { sq.cm } {/tex}

D

147 {tex} \mathrm { sq } \cdot \mathrm { cm } {/tex}

Explanation

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Q 10. The angle between the hands of a clock when the time is 3: 20 is

A

{tex} 6 ^ { \circ } {/tex}

B

{tex} 10 ^ { \circ } {/tex}

{tex} 20 ^ { \circ } {/tex}

D

{tex} 12 ^ { \circ } {/tex}

Explanation