Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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71.

If tan space straight theta space equals space 1 comma then the value of fraction numerator 8 space sin space straight theta space plus space 5 space cos space straight theta over denominator sin cubed straight theta space minus space 2 cos cubed straight theta space plus space 7 cosθ end fraction is

  • 1

  • 3

  • 2

  • 1 half


C.

2

tan θ = 1 
tan θ = tan 45°
      θ = 45°
Now, 
fraction numerator 8 space sin space straight theta space plus space 5 space cos space straight theta over denominator sin cubed straight theta space minus space 2 space cos cubed straight theta space plus space 7 space cos space straight theta end fraction space equals space fraction numerator 8 space sin space 45 degree space plus 5 space cos space 45 degree over denominator sin cubed 45 degree space minus 2 cos cubed 45 degree space plus space 7 space cos space 45 degree end fraction
equals space fraction numerator begin display style fraction numerator 8 over denominator square root of 2 end fraction end style space plus space begin display style fraction numerator 5 over denominator square root of 2 end fraction end style over denominator open parentheses begin display style fraction numerator 1 over denominator square root of 2 end fraction end style close parentheses cubed space minus space 2 open parentheses begin display style fraction numerator 1 over denominator square root of 2 end fraction end style close parentheses cubed space plus space begin display style fraction numerator 7 over denominator square root of 2 end fraction end style end fraction
equals space fraction numerator begin display style fraction numerator 13 over denominator square root of 2 end fraction end style over denominator begin display style fraction numerator 1 over denominator 2 square root of 12 end fraction end style minus 2 cross times begin display style fraction numerator 1 over denominator 2 square root of 2 end fraction end style space plus space begin display style fraction numerator 7 over denominator square root of 2 end fraction end style end fraction
equals space fraction numerator begin display style fraction numerator 13 over denominator square root of 2 end fraction end style over denominator begin display style fraction numerator 1 minus 2 plus 14 over denominator 2 square root of 2 end fraction end style end fraction space equals space fraction numerator 13 over denominator square root of 2 end fraction space cross times space fraction numerator 2 square root of 2 over denominator 13 end fraction space equals space 2

     

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72.

Student strength of a college in Arts, Science and Commerce from 2004 - 2005 to 2007 - 2008 session are shown in the following bar graph. Study the graph and answer the questions that follow.

The ratio of average number of students in Science to the average number of students in commerce is:

  • 10 : 7

  • 7 : 4

  • 12 : 5

  • 48 : 35

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73.

Student strength of a college in Arts, Science and Commerce from 2004 - 2005 to 2007 - 2008 session are shown in the following bar graph. Study the graph and answer the questions that follow.

The increase in the number of Arts students in 2007-2008 session over that in 2005 - 2006 session is:

  • 25%

  • 21.42%

  • 27.27%

  • 37.5%

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74.

Student strength of a college in Arts, Science and Commerce from 2004 - 2005 to 2007 - 2008 session are shown in the following bar graph. Study the graph and answer the questions that follow.

Approximate percentage of students in Science stream during the session 2006 - 2007 is:

  • 42.31%

  • 40.91%

  • 41.26%

  • 34.61%

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75.

Student strength of a college in Arts, Science and Commerce from 2004 - 2005 to 2007 - 2008 session are shown in the following bar graph. Study the graph and answer the questions that follow.

Percentage increase in total over number of students in 2007-2008 session over that in 2004 - 2005 session is approximately:

  • 29.71%

  • 25.65%

  • 10.56%

  • 20.83%

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