Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

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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


A.

120 days

Shortcut Method:
Let ABC can do it in x days.
Now,
rightwards double arrow space space space open parentheses straight x over 72 space plus space straight x over 120 space plus space straight x over 90 close parentheses space equals space 2
rightwards double arrow space space open parentheses fraction numerator 5 straight x space plus space 3 straight x space plus space 4 straight x over denominator 360 end fraction close parentheses space equals space 2
rightwards double arrow space space space open parentheses fraction numerator 12 straight x over denominator 360 end fraction close parentheses space equals space 2
rightwards double arrow space space space straight x space equals space 60 space days
Thus, ABC can do it in 60 days
  B and C can do it in 120 days (given)
∴   A alone can do it in 
       open parentheses fraction numerator 120 space cross times space 60 over denominator 120 minus 60 end fraction close parentheses space equals space open parentheses fraction numerator 120 space cross times space 60 over denominator 60 end fraction close parentheses space equals space 120 space days

 

 

 

120 Views

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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

48 Views

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

56 Views

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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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