If x = y = 333 and z = 334, then the values of x3 + y3 + z3 - 3x

Subject

Quantitative Aptitude

Class

SSCCGL Class 12

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 Multiple Choice QuestionsMultiple Choice Questions

61.

The diameter of a circular wheel is 7 m. How many revolutions will it make in travelling 22 km?

  • 100

  • 400

  • 500

  • 500

296 Views

62.

The area of an equilateral triangle is 9 square root of 3 space straight m squared. The length (in m) of the median is

  • 2 square root of 3
  • 3 square root of 3
  • 3 square root of 2
  • 3 square root of 2
151 Views

63.

If each edge of a cube is increased by 50%, the percentage increase in surface area is

  • 125%

  • 50%

  • 100%

  • 100%

191 Views

64.

How many tiles, each 4 decimetre square, will be required to cover the floor of a room 8 m long and 6 m broad?

  • 200

  • 260

  • 280

  • 280

277 Views

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65.

If the surface areas of two spheres are in the ratio 4 : 9, then the ratio of their volumes will be

  • 4 : 9

  • 16 : 27

  • 8 : 27

  • 8 : 27

170 Views

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66.

If x = y = 333 and z = 334, then the values of x3 + y3 + z3 - 3xyz is

  • 0

  • 667

  • 1000

  • 1000


C.

1000

straight x cubed space plus space straight y cubed space plus space straight z cubed minus 3 xyz space
    equals space 1 half left parenthesis straight x plus straight y plus straight z right parenthesis open square brackets left parenthesis straight x minus straight y right parenthesis squared space plus space left parenthesis straight y minus straight z right parenthesis squared space plus space left parenthesis straight z minus straight x right parenthesis squared close square brackets
equals space 1 half left parenthesis 333 plus 333 plus 334 right parenthesis thin space left parenthesis 0 plus 1 plus 1 right parenthesis
equals space 1000
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67.

If fraction numerator straight x minus straight a squared over denominator straight b plus straight c end fraction plus fraction numerator straight x minus straight b squared over denominator straight c plus straight a end fraction plus fraction numerator straight x minus straight c squared over denominator straight a plus straight b end fraction space equals space 4 left parenthesis straight a plus straight b plus straight c right parenthesis, then x is equal to

  • left parenthesis straight a plus straight b plus straight c right parenthesis squared
  • straight a squared plus straight b squared plus straight c squared
  • ab + bc + ca

  • ab + bc + ca

142 Views

68.

If (x - a) (x - b) = 1 and a - b + 5 = 0, then the value of left parenthesis straight x minus straight a right parenthesis cubed space minus space fraction numerator 1 over denominator left parenthesis straight x minus straight a right parenthesis cubed end fraction is

  • -125

  • 1

  • 125

  • 125

137 Views

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69.

If square root of straight x space equals space square root of 3 space minus space square root of 5, then the value of straight x squared minus 16 straight x plus 6 is

  • 0

  • -2

  • 2

  • 2

152 Views

70.

The value of square root of 2 cube root of 4 square root of 2 cube root of 4 square root of 2 cube root of 4......... end root end root end root end root end root end root is

  • 2

  • 22

  • 23

  • 23

213 Views

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