If a = 299,  b = 298,  c = 297 then the value of 2a3 + 2b3 + 2

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 Multiple Choice QuestionsMultiple Choice Questions

51.

If p = 99, then the value of p(p2 + 3p + 3) is

  • 9999

  • 999999

  • 99999

  • 99999

1830 Views

52.

If straight x plus 1 over straight x space equals space straight c space plus 1 over straight c then the value of x is 

  • straight c 1 over straight c
  • straight c comma space straight c squared
  • c, 2c

  • c, 2c

363 Views

53.

A complete factorization of left parenthesis straight x squared plus 64 right parenthesis is

  • left parenthesis straight x squared plus 8 right parenthesis squared
  • left parenthesis straight x squared plus 8 right parenthesis thin space left parenthesis straight x squared minus 8 right parenthesis
  • left parenthesis straight x squared minus 4 straight x plus 8 right parenthesis thin space left parenthesis straight x squared minus 4 straight x minus 8 right parenthesis
  • left parenthesis straight x squared minus 4 straight x plus 8 right parenthesis thin space left parenthesis straight x squared minus 4 straight x minus 8 right parenthesis
415 Views

54.

If a + b = 1,  then a4 + b4 - a3 - b3 - 2a2b2 + ab is equal to

  • 1

  • 2

  • 4

  • 4

638 Views

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55.

If x2 + y2 + 6x + 5 = 4 (x - y) then (x - y) is

  • 1

  • -1

  • 0

  • 0

782 Views

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56.

If a = 299,  b = 298,  c = 297 then the value of 2a3 + 2b3 + 2c3 - 6abc is

  • 5154

  • 5267

  • 5364

  • 5364


C.

5364

2 straight a cubed space plus space 2 straight b cubed space plus space 2 straight c cubed space minus space 6 abc
  rightwards double arrow space space space space 2 space left parenthesis straight a cubed space plus space straight b cubed space plus space straight c cubed space minus space 3 abc right parenthesis
rightwards double arrow space space space 2 space left parenthesis straight a plus straight b plus straight c right parenthesis space.1 half. open curly brackets left parenthesis straight a minus straight b right parenthesis squared space plus space left parenthesis straight b minus straight c right parenthesis squared space plus space left parenthesis straight c minus straight a right parenthesis squared close curly brackets
space equals space left parenthesis 299 plus 298 plus 297 right parenthesis space open curly brackets left parenthesis 299 minus 298 right parenthesis squared space plus space left parenthesis 298 minus 297 right parenthesis squared space plus space left parenthesis 297 minus 299 right parenthesis squared close curly brackets
space equals space 894 space cross times space left parenthesis 1 space plus space 1 space plus space 4 right parenthesis
space equals space 894 space cross times space 6 space equals space 5364
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57.

If straight x plus 1 over straight x space equals square root of 3, the value of left parenthesis straight x to the power of 18 space plus space straight x to the power of 12 space plus space straight x to the power of 6 space plus space 1 right parenthesis is 

  • 0

  • 1

  • 2

  • 2

483 Views

58.

If straight x space equals space 1 plus square root of 2 plus square root of 3 comma space then the value of left parenthesis 2 straight x to the power of 4 minus 8 straight x cubed minus 5 straight x squared plus 26 straight x minus 28 right parenthesis is

  • 2 square root of 2
  • 3 square root of 3
  • 5 square root of 5
  • 5 square root of 5
559 Views

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59.

If 2 straight r space equals space straight h space plus space square root of straight r squared plus straight h squared end root, then the ratio r : h (r ≠ 0) is

  • 1 : 2

  • 2 : 3

  • 4 : 3

  • 4 : 3

271 Views

60.

If fraction numerator 3 minus 5 straight x over denominator 2 straight x end fraction plus fraction numerator 3 minus 5 straight y over denominator 2 straight y end fraction plus fraction numerator 3 minus 5 straight z over denominator 2 straight z end fraction space equals space 0 comma the value of 2 over straight x plus 2 over straight y plus 2 over straight z is

  • 20

  • 5

  • 10

  • 10

190 Views

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