Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

61.

A and B can do a piece of work in 72 days. B and C can do it in 120 days and A and C can do it in 90 days. A alone can do it in

  • 120 days

  • 130 days

  • 150 days

  • 100 days

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62.

₹ 730/- were divided among A, B, C in such a way that if A gets â‚¹ 3/-, then B gets ₹ 4/- and if B gets â‚¹ 3.50/- then C gets â‚¹ 3/-. The share of B exceeds that of C by

  • ₹ 30/-

  • ₹ 40/-

  • ₹ 70/-

  • ₹ 210/-

59 Views

63.

The average marks obtained in a class of 50 students is 70%. The average of first 25 is 60% and that of 24 is 80%. What is the marks obtained by the last student?

  • 90%

  • 60%

  • 80%

  • 70%

205 Views

64.

If 1 over straight a left parenthesis straight a squared plus 1 right parenthesis space equals space 3 comma then the value of fraction numerator straight a to the power of 6 plus 1 over denominator straight a cubed end fraction is:

  • 9

  • 18

  • 27

  • 1

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65.

If straight a space equals space square root of 2 space plus space 1 comma space space space straight b space equals space square root of 2 space minus space 1 comma then the value of fraction numerator 1 over denominator straight a plus 1 end fraction space plus space fraction numerator 1 over denominator straight b plus 1 end fraction is

  • 0

  • 1

  • 2

  • 3


B.

1

straight a space equals space square root of 2 space plus space 1
straight a space plus space 1 space equals space square root of 2 space plus 1 plus 1
straight a space plus 1 space space equals space square root of 2 space plus space 2
fraction numerator 1 over denominator straight a plus 1 end fraction space equals space fraction numerator 1 over denominator 2 plus square root of 2 end fraction space space space space space space space space space space space space... left parenthesis straight i right parenthesis
Similarly,
straight b space equals space square root of 2 minus 1
straight b space plus space 1 space equals space square root of 2 minus 1 plus 1
straight b space plus space 1 space equals square root of 2
fraction numerator 1 over denominator straight b plus 1 end fraction space equals space fraction numerator 1 over denominator square root of 2 end fraction space space space space space space space... left parenthesis ii right parenthesis
Adding (i) and (ii),
fraction numerator 1 over denominator straight a plus 1 end fraction space plus space fraction numerator 1 over denominator straight b plus 1 end fraction space equals space fraction numerator 1 over denominator 2 plus square root of 2 end fraction space plus space fraction numerator 1 over denominator square root of 2 end fraction
space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator square root of 2 begin display style plus end style begin display style 2 end style begin display style plus end style begin display style square root of 2 end style over denominator left parenthesis 2 plus 2 square root of 2 right parenthesis square root of 2 end fraction
space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 2 plus 2 square root of 2 over denominator 2 plus 2 square root of 2 end fraction space equals space 1

 

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66.

In a triangle, the distance of the centroid from the three vertices is 4 cm, 6 cm and 8 cm respectively. Then the length of the smallest median is

  • 8

  • 7

  • 6

  • 5

158 Views

67.

O is the centre of the circle and angle AOB space equals space 150 degree and the shaded portion is x part of the circular region, then x = ?

  • 1/12

  • 1/9

  • 1/6

  • 1/4

66 Views

68.

θ is a positive acute angle and sin θ - cos θ = 0, then the value of sec θ + cosec θ is

  • 2

  • square root of 2

  • 2 square root of 2

  • 3 square root of 2

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69.

The value of fraction numerator 2 space tan space 53 degree over denominator cot space 37 degree end fraction space minus space fraction numerator cot space 80 degree over denominator tan begin display style space end style begin display style 10 end style begin display style degree end style end fraction is:

  • 3

  • 2

  • 1

  • 0

61 Views

70.

The compound interest on â‚¹ 24,000/- at 10% per annum for 1 1 half space years comma interest being compounded semi-annually is

  • ₹ 3,783

  • ₹ 3,777

  • ₹ 3,780

  • ₹ 3,781

56 Views

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