Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

61.

The length of the base of an isosceles triangle is 2x - 2y + 4z, and its perimeter is 4x - 2y + 6z. Then the length of each of the equal sides is:

  • x + y

  • x + y + z

  • 2(x + y)

  • x + z

89 Views

62.

If θ > 0, be acute angle, the value of θ in degrees satisfying
fraction numerator cos squared straight theta space minus space 3 space cosθ space plus space 2 over denominator sin squared straight theta end fraction space equals space 1 is:

  • 90°

  • 30°

  • 45°

  • 60°

60 Views

63.

If the numbers cube root of 9 space comma space fourth root of 20 space comma space space root index 6 of 25 are arranged in ascending order, then the right arrangement is:

  • root index 6 of 25 space less than space fourth root of 20 space less than space cube root of 9

  • cube root of 9 space less than space fourth root of 20 space less than space root index 6 of 25

  • fourth root of 20 space less than space root index 6 of 25 space less than space cube root of 9

  • root index 6 of 25 space less than space cube root of 9 space less than space fourth root of 20

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64.

Visitors to a show were charged â‚¹ 15 each on the first day, â‚¹ 7.50 on the second day, â‚¹ 2.50 on the third day and total attendance on three days were in the ratio 2 : 5 : 13  respectively. The average charge per person for the entire three day is

  • ₹ 5

  • ₹ 5.50

  • ₹ 6

  • ₹ 7


A.

₹ 5

Required Average charge:
equals space space open parentheses fraction numerator 15 space cross times space 2 space plus space 7.50 space cross times space 3 space plus space 2.50 space cross times space 13 over denominator 2 space plus space 5 space plus space 13 end fraction close parentheses
equals space open parentheses fraction numerator 30 space plus space 37.5 space plus space 32.5 over denominator 20 end fraction close parentheses
equals space open parentheses 100 over 20 close parentheses
equals space ₹ space 5 divided by negative

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65.

If fraction numerator 2 plus straight a over denominator straight a end fraction space plus space fraction numerator 2 plus straight b over denominator straight b end fraction space plus space fraction numerator 2 plus straight c over denominator straight c end fraction space equals space 4 comma then the value of fraction numerator ab plus bc plus ca over denominator abc end fraction is:

  • 2

  • 1

  • 0

  • 1 half

47 Views

66.

If straight x space plus space straight y plus space straight z space equals space 1 comma space space  1 over straight x plus 1 over straight y plus 1 over straight z space equals space 1 and xyz = -1, then x3 + y3 + z3 is equal to:

  • -1

  • 1

  • -2

  • 2

51 Views

67.

In Δ PQR, L and M are two points on the sides PQ and PR respectively such that LM || QR. If PL = 2 cm, LQ = 6 cm and PM = 1.5 cm,  then MR in cm is

  • 0.5

  • 4.5

  • 9

  • 8

74 Views

68.

The length of the radius of a circle with centre O is 5 cm and the length of the chord AB is 8 cm. The distance of the chord AB from the point O is

  • 2 cm

  • 3 cm

  • 4 cm

  • 15 cm

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69.

The upper part of a tree broke at a certain height makes an angle of 60° with the ground at a distance of 10 m from its feet. The original height of the tree was

  • 20√3 m

  • 10√3 m

  • 10(2 + √3) m

  • 10(2 - √3) m

51 Views

70.

What would be the compound interest of â‚¹ 25,000/- for 2 years at 5% per annum?

  • ₹ 2,500

  • ₹ 2,562.5

  • ₹ 2,425.25

  • ₹ 5,512.5

57 Views

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