Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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71.

If cos2θ - sin θ = 1/4, then what is the value of sin θ?

  • -1

  • 1/2

  • 1

  • 3/2


B.

1/2

Shortcut Method:
Put the value of θ which satisfies the equation. say put θ = 30°, 
cos2 30° - sin 30° = 1/4
open parentheses fraction numerator square root of 3 over denominator 2 end fraction close parentheses squared space minus space 1 half space equals space 3 over 4 space minus 1 half space equals space fraction numerator 3 space minus space 2 over denominator 4 end fraction space equals space 1 fourth
∴  Value of sinθ = sin 30° = 1/2


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72.

The table below shows the number of students of a college studying Arts, Science, Commerce and Business for given 5 years.

Year Art Science Commerce Business
2012 48 105 148 32
2013 56 123 136 30
2014 64 125 144 36
2015 78 148 156 36
2016 92 161 168 48

What is the percentage increase in number of students of Commerce from 2012 to 2016?

  • 11.16%

  • 17.28%

  • 13.51%

  • 15.67%


73.

The table below shows the number of students of a college studying Arts, Science, Commerce and Business for given 5 years.

Year Art Science Commerce Business
2012 48 105 148 32
2013 56 123 136 30
2014 64 125 144 36
2015 78 148 156 36
2016 92 161 168 48

What is the simple annual growth rate (in %) of the number of students of Business from 2012 to 2016?

  • 10%

  • 12.5%

  • 15%

  • 17.5%


74.

The table below shows the number of students of a college studying Arts, Science, Commerce and Business for given 5 years.

Year Art Science Commerce Business
2012 48 105 148 32
2013 56 123 136 30
2014 64 125 144 36
2015 78 148 156 36
2016 92 161 168 48

What is the ratio of average number of students studying Arts per year and average number of students studying Science per year?

  • 169 : 331

  • 66 : 169

  • 127 : 261

  • 32 : 75


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75.

The table below shows the number of students of a college studying Arts, Science, Commerce and Business for given 5 years.

Year Art Science Commerce Business
2012 48 105 148 32
2013 56 123 136 30
2014 64 125 144 36
2015 78 148 156 36
2016 92 161 168 48

Which year shows the maximum percentage increase in the total number of students in these 4 subjects over the previous year?

  • 2013

  • 2014

  • 2015

  • 2016


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