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SSCCGL Quantitative Aptitude Solved Question Paper 2016

Multiple Choice Questions

71.
If $tan space left parenthesis straight alpha space minus space straight beta right parenthesis space equals space 1 comma$ $sec open parentheses straight alpha space plus space straight beta close parentheses space equals space fraction numerator 2 over denominator square root of 3 end fraction$ and $straight alpha comma space straight beta$ are positive then the smallest value of $straight alpha$ is

$142 fraction numerator 1 degree over denominator 2 end fraction$

$187 fraction numerator 1 degree over denominator 2 end fraction$

$7 fraction numerator 1 degree over denominator 2 end fraction$

$37 fraction numerator 1 degree over denominator 2 end fraction$

$37 fraction numerator 1 degree over denominator 2 end fraction$

$tan space left parenthesis straight alpha space minus space straight beta right parenthesis space equals space 1 rightwards double arrow space space tan space left parenthesis straight alpha space minus space straight beta right parenthesis space equals space tan space 45 degree space rightwards double arrow space space space space space space space straight alpha space minus space straight beta space equals space 45 degree space space space space space space... left parenthesis straight i right parenthesis$
$sec left parenthesis straight alpha space plus space straight beta right parenthesis space equals space fraction numerator 2 over denominator square root of 3 end fraction rightwards double arrow space space sec left parenthesis straight alpha space plus space straight beta right parenthesis space equals space sec space 30 degree space space space space space rightwards double arrow space space space space space space space space space space straight alpha space plus space straight beta space equals space 30 degree space space space space space... left parenthesis ii right parenthesis$
Adding (i) and (ii), we have
$rightwards double arrow space space 2 straight alpha space equals space 75 degree rightwards double arrow space space space straight alpha space equals space fraction numerator 75 degree over denominator 2 end fraction space equals space 37 fraction numerator 1 degree over denominator 2 end fraction$

60 Views

72.

The pie-chart given here shows monthly expenses on various heads and savings of the family of Mr.Rao Study the chart and answer the questions based on it.

The amount spent on food exceeds the total amount spent on education and clothing by:

$12 1 half percent sign$
25%
$33 1 third percent sign$
50%

44 Views

73.

The pie-chart given here shows monthly expenses on various heads and savings of the family of Mr.Rao Study the chart and answer the questions based on it.

What percent of his income does Mr. Rao save?

25%
30%
$33 1 third percent sign$
36%

42 Views

74.

The pie-chart given here shows monthly expenses on various heads and savings of the family of Mr.Rao Study the chart and answer the questions based on it.

If the total income of Mr. Rao is Rs. 72,000, how much house rent does he pay?