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SSCCGL Quantitative Aptitude Solved Question Paper 2011

Multiple Choice Questions

101.

If $9 square root of straight x space equals space square root of 12 space plus space square root of 147 comma$ then x = ?

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102.

$cube root of 1 minus 127 over 343 end root$ is equal to

$5 over 9$
$1 minus 1 over 7$
$4 over 7$
$1 minus 2 over 7$

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103.

If the sum of two numbers be multiplied by each number separately, the products so obtained are 247 and 114. The sum of the numbers is

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104.

Find a number, one-seventh of which exceeds its eleventh part by 100.

1925
1825
1540
1340

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105.

$square root of 6 plus square root of 6 plus square root of 6 plus... end root end root end root space equals space ?$

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106.

The square root of $open parentheses fraction numerator square root of 3 space plus space square root of 2 over denominator square root of 3 space minus space square root of 2 end fraction close parentheses$ is

$square root of 3 space plus space square root of 2$
$square root of 3 space minus space square root of 2$
$square root of 2 space plus-or-minus space square root of 3$
$square root of 2 minus square root of 3$

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107.

The remainder when 3²¹ is divided by 5 is

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108.

The value of $fraction numerator 2 begin display style 1 third end style minus 1 begin display style 2 over 11 end style over denominator 3 plus begin display style fraction numerator 1 over denominator 3 plus begin display style fraction numerator 1 over denominator 3 plus begin display style 1 third end style end fraction end style end fraction end style end fraction$ is

$38 over 109$
$109 over 38$
1
$116 over 109$

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109.

The last digit of (1001)²⁰⁰⁸ + 1002 is

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110.
The value of
$fraction numerator 3 square root of 2 over denominator square root of 3 space plus space square root of 6 end fraction space minus space fraction numerator 4 square root of 3 over denominator square root of 6 space end root begin display style plus end style begin display style square root of 2 end style end fraction space plus space fraction numerator square root of 6 over denominator square root of 3 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 2 end style end fraction$ is

4

0

$square root of 2$

$3 square root of 6$

$space space fraction numerator 3 square root of 2 over denominator square root of 3 space plus space square root of 6 end fraction space equals space fraction numerator 3 square root of 2 over denominator square root of 3 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 6 end style end fraction space cross times space fraction numerator square root of 3 begin display style minus end style begin display style square root of 6 end style over denominator square root of 3 begin display style minus end style begin display style square root of 6 end style end fraction equals space space fraction numerator 3 square root of 6 space minus space 3 square root of 12 over denominator 3 minus 6 end fraction space equals space fraction numerator 3 square root of 6 minus 3 square root of 12 over denominator negative 3 end fraction equals space square root of 12 space minus space square root of 6 space equals space 2 square root of 3 space minus space square root of 6 space space space space space space space space space space... left parenthesis straight i right parenthesis$

$fraction numerator 4 square root of 3 over denominator square root of 6 plus square root of 2 end fraction space equals space fraction numerator 4 square root of 3 over denominator square root of 6 begin display style plus end style begin display style square root of 2 end style end fraction space cross times space fraction numerator square root of 6 begin display style minus end style begin display style square root of 2 end style over denominator square root of 6 begin display style minus end style begin display style square root of 2 end style end fraction space equals space fraction numerator 4 square root of 18 minus 4 square root of 6 over denominator 6 minus 2 end fraction space equals space square root of 18 minus square root of 6 space equals 3 square root of 2 space minus space square root of 6 space space space space space space space space space... left parenthesis ii right parenthesis$

$fraction numerator square root of 6 over denominator square root of 3 space plus space square root of 2 end fraction space equals space fraction numerator square root of 6 over denominator square root of 3 begin display style space end style begin display style plus end style begin display style space end style begin display style square root of 2 end style end fraction space cross times fraction numerator square root of 3 begin display style space end style begin display style minus end style begin display style space end style begin display style square root of 2 end style over denominator square root of 3 begin display style minus end style begin display style square root of 2 end style end fraction space equals space fraction numerator square root of 18 begin display style minus end style begin display style square root of 12 end style over denominator 3 minus 2 end fraction space space equals space square root of 18 space minus space square root of 12 space equals space 3 square root of 2 space minus space 2 square root of 3 space space space space space space space space space... left parenthesis iii right parenthesis$

$therefore space space space fraction numerator 3 square root of 2 over denominator square root of 3 space plus space square root of 6 end fraction space minus space fraction numerator 4 square root of 3 over denominator square root of 6 space plus space square root of 2 end fraction space plus space fraction numerator square root of 6 over denominator square root of 3 space plus space square root of 2 end fraction space equals space 2 square root of 3 space minus space square root of 6 space minus space 3 square root of 2 space plus space square root of 6 space plus space 3 square root of 2 space minus space 2 square root of 3 space equals space 0$