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SSCCGL Quantitative Aptitude Solved Question Paper 2011

Multiple Choice Questions

111.

When 2³³ is divided by 10, the remainder will be

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112.

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

$40 over 11$
$43 over 11$
$46 over 11$
$41 over 11$

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113.

Find the unit digit in the product (4387)²⁴⁵ x (621)⁷²

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114.
If $square root of 2 space equals space 1.4142 comma$ find the value of $2 square root of 2 space plus space square root of 2 space plus space fraction numerator 1 over denominator 2 plus square root of 2 end fraction space plus space fraction numerator 1 over denominator square root of 2 minus 2 end fraction$

1.4144

2.8284

28.284

2.4142

2.8284

$2 square root of 2 space plus space square root of 2 space end root space plus space fraction numerator 1 over denominator 2 plus space square root of 2 end fraction space plus space fraction numerator 1 over denominator square root of 2 minus 2 end fraction space equals space 2 square root of 2 space plus space square root of 2 space plus space open parentheses fraction numerator 1 over denominator 2 plus square root of 2 end fraction space minus space fraction numerator 1 over denominator left parenthesis 2 minus square root of 2 right parenthesis end fraction close parentheses equals space 2 space square root of 2 space plus space square root of 2 space plus space open parentheses fraction numerator 2 minus square root of 2 space minus space left parenthesis 2 plus square root of 2 right parenthesis over denominator left parenthesis 2 plus square root of 2 right parenthesis thin space left parenthesis 2 minus square root of 2 right parenthesis end fraction close parentheses equals space 2 square root of 2 space plus space square root of 2 space plus space open parentheses fraction numerator negative 2 square root of 2 over denominator 4 minus 2 end fraction close parentheses space equals space 2 square root of 2 space plus space square root of 2 space minus space square root of 2 space equals space 2 square root of 2 equals space 2 space cross times space 1.4142 space equals space 2.8284$