If  , then the value of  is from Quantitative Aptitude SSC

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

61.

A chord of length 39 cm is at a distance of 10.4 cm from the centre of a circle. Find the radius of the circle.

  • 19.5 cm (appr)

  • 22.1 cm (appr)

  • 28.6 cm (appr)

  • 28.6 cm (appr)

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62.

The value of cot space 10 degree. space cot space 20 degree. space cot space 60 degree. space cot space 70 degree. space cot space 80 degree is

  • 1

  • -1

  • square root of 3
  • square root of 3
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63.

The largest number of four digits exactly divisible by 88 is

  • 9988

  • 9944

  • 8888

  • 8888

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64.

The average age of the boys in a class is 18 years. The average age of the girls in that class is 12 years. If the ratio of the number of boys and girls in that class is 3 : 2, then the average age of the class is

  • 15.6 years

  • 16.5 years

  • 15 years

  • 15 years

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65.

If 6x2 - 12x + 1 = 0, then the value of 27 straight x cubed space plus space fraction numerator 1 over denominator 8 straight x cubed end fraction is

  • 162

  • 189

  • 207

  • 207

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66.

If  fraction numerator straight x squared plus 3 straight x plus 1 over denominator straight x squared minus 3 straight x plus 1 end fraction equals space 1 half, then the value of straight x plus 1 over straight x is

  • 9

  • -9

  • 1

  • 1


B.

-9

   fraction numerator straight x squared plus 3 straight x plus 1 over denominator straight x squared minus 3 straight x plus 1 end fraction space equals space 1 half
fraction numerator straight x squared plus 1 plus 3 straight x over denominator straight x squared plus 1 minus 3 straight x end fraction space equals space 1 half
rightwards double arrow space space fraction numerator straight x open parentheses straight x plus begin display style 1 over straight x end style close parentheses plus 3 straight x over denominator straight x open parentheses straight x plus begin display style 1 over straight x end style close parentheses minus 3 straight x end fraction space equals space 1 half
or
rightwards double arrow space space space fraction numerator open parentheses straight x plus begin display style 1 over straight x end style close parentheses plus 3 over denominator open parentheses straight x plus begin display style 1 over straight x end style close parentheses minus 3 end fraction space equals space 1 half
rightwards double arrow space space 2 open parentheses straight x plus 1 over straight x close parentheses plus 6 space equals space open parentheses straight x plus 1 over straight x close parentheses minus 3
rightwards double arrow space space 2 open parentheses straight x plus 1 over straight x close parentheses minus open parentheses straight x plus 1 over straight x close parentheses space equals space minus 3 minus 6
therefore space space open parentheses straight x plus 1 over straight x close parentheses space equals space minus 9

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67.

I is the incentre of Δ ABC and if ∠BAC = 70°, then ∠BIC is

  • 140°

  • 55°

  • 125°

  • 35°

96 Views

68.

 

A chord of length 10 cm subtends an angle 120° at the centre of the circle. Distance of the chord from the centre is

  •  

    5 square root of 3

  •  

    fraction numerator 5 square root of 3 over denominator 2 end fraction

  •  

    fraction numerator 5 over denominator square root of 3 end fraction

  •  

    5

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69.

If 7 space sin squared straight theta space plus space 3 space cos squared straight theta space equals space 4 comma 0 degree less than straight theta less than 90 degree comma then the value of tan space straight theta is:

  • fraction numerator 1 over denominator square root of 2 end fraction
  • fraction numerator 1 over denominator square root of 3 end fraction
  • square root of 3 over 2 end root
  • square root of 3 over 2 end root
53 Views

70.

If the length and breadth of a rectangle are increased by 10% and 8% respectively, then the area of the rectangle increases by

  • 18 7 over 5 percent sign
  • 18 4 over 5 percent sign
  • 18%

  • 18%

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