Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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61.

If straight x space plus space 1 over straight x space equals space square root of 13 comma space space then space fraction numerator 3 straight x over denominator left parenthesis straight x squared minus 1 right parenthesis end fraction equals to

  • 3 square root of 13

  • fraction numerator square root of 13 over denominator 3 end fraction

  • 1

  • 3


C.

1

straight x space plus space 1 over straight x space equals space square root of 13
If straight x space plus space 1 over straight x space equals space straight a comma space space space then space straight x squared space plus space 1 over straight x squared space equals space straight a squared minus 2
therefore space space straight x squared space plus space 1 over straight x squared space equals space left parenthesis square root of 13 right parenthesis squared minus 2 space equals space 11
   Subtract 2 from both the sides,
   straight x squared space plus space 1 over straight x squared minus 2 space equals space 9
open parentheses straight x minus 1 over straight x close parentheses squared space equals space 9
straight x space minus space 1 over straight x space equals space 3
Now, 
fraction numerator 3 straight x over denominator straight x squared minus 1 end fraction space equals space fraction numerator 3 straight x over denominator straight x open parentheses straight x minus begin display style 1 over straight x end style close parentheses
space end fraction
equals space fraction numerator 3 over denominator open parentheses straight x minus begin display style 1 over straight x end style close parentheses end fraction space equals space 3 over 3 space equals space 1

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62.

O is an centre of a circle. P is an external point of it at distance of 13 cm from O. The radius of the circle is 5 cm. Then the length of a tangent to the circle P upto the point of contact is

  • √194 cm

  • 10 cm

  • 12 cm

  • 8 cm

71 Views

63.

If θ is acute angle and sin (θ + 18°) = 1/2, then the value of θ in circular measure is:

  • straight pi over 12 space radians

  • straight pi over 15 space radians

  • fraction numerator 2 straight pi over denominator 5 end fraction space radians

  • fraction numerator 3 straight pi over denominator 13 end fraction space radians

45 Views

64.

18 men or 36 boys working 6 hours a day can plough a field in 24 days. In how many days will 24 men and 24 boys working 9 hours a day plough the same field?

  • 9

  • 10

  • 6

  • 8

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65.

If a(x + y) =  b(x - y)  = 2ab, the the value of 2(x2 + y2) is

  • 2 (a2 - b2)

  • 2(a2 + b2)

  • 4(a2 - b2)

  • 4(a2 + b2)

37 Views

66.

If straight x space plus space 1 over straight x space equals space 6 comma then the value of straight x squared space plus space 1 over straight x squared is:

  • 23

  • 16

  • 34

  • 32

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67.

G is the centroid of the equilateral Δ ABC, if AB = 9 cm, then AG is equal to:

  • 3 square root of 3 space cm

  • 3 cm

  • fraction numerator 3 square root of 3 over denominator 2 end fraction cm

  • 6 cm

129 Views

68.

In the figure (not drawn to scale) given below, if AD = DC = BC and angle BCE space equals space 96 degree, then angle BCE space space equals space 96 degree comma then angle DBC is

 

  • 32°

  • 84°

  • 64°

  • 96°

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69.

If θ is positive acute angle and 4 sin2θ = 3, then the value of tan space straight theta space minus space cot space straight theta over 2 is

  • 1

  • 0

  • square root of 3

  • fraction numerator 1 over denominator square root of 3 end fraction

44 Views

70.

The chord AB of a circle of centre O subtends an angle θ with the tangent at A to the circle. Then measure of 

  • θ

  • 90° - θ

  • 90° + θ

  • 2 (180° - θ)

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