SSCCHSL Important Questions of Algebra | Zigya

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 Multiple Choice QuestionsMultiple Choice Questions

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1.

If  and xy = 1, the value of  is

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2.

If straight x space equals space fraction numerator 1 over denominator 2 plus square root of 3 end fraction and straight y space equals space fraction numerator 1 over denominator 2 minus square root of 3 end fraction comma then the value of open parentheses fraction numerator 1 over denominator straight x plus 1 end fraction space plus space fraction numerator 1 over denominator straight y plus 1 end fraction close parentheses is

  • fraction numerator 1 over denominator square root of 3 end fraction
  • square root of 3
  • 2

  • 2

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3.

If straight x plus 1 over straight x space equals space 2 comma then the value of fraction numerator 2 straight x squared plus 2 over denominator 3 straight x squared plus 5 straight x plus 3 end fraction is

  • 4 over 11
  • 1 half
  • 1 3 over 4
  • 1 3 over 4
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4.

If 2 straight x minus fraction numerator 1 over denominator 3 straight x end fraction space space equals space 4 comma the value of open parentheses 27 straight x cubed space minus space fraction numerator 1 over denominator 8 straight x cubed end fraction close parentheses is

  • 91

  • 234

  • 243

  • 243

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5.

If straight x plus 1 over straight x space equals space 2 comma then the value of open parentheses square root of straight x space plus space fraction numerator 1 over denominator square root of straight x end fraction close parentheses space is

  • square root of 2
  • 2

  • square root of 2 plus 1
  • square root of 2 plus 1
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6.

For two positive numbers a and b, if a2 + b2 = 24 and ab = 6, then (a3 + b3) is equal to

  • 96

  • 10

  • 102

  • 102

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7.

If a, b, c are real numbers and a2 + b2 + c2 = 2(a - b - c) - 3, then the value of a + b + c is

  • -1

  • 1

  • 3

  • 3

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8.

If x + y + z = 6, then the value of (x - 1)3 + (y - 2)3 + (z - 3)3 is

  • 3 (x - 1) (y - 2) (z - 3)

  • 3xyz

  • (x - 1) (y - 2) (z - 3)

  • (x - 1) (y - 2) (z - 3)

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9.

If 4pxy = (x + 2y)2 - (x - 2y)2, then what will be the value of p?

  • 0.5

  • 0.25

  • 4

  • 2


10.

The value of x for which the expressions 12 - 6x and 4x + 2 become equal is:

  • 0

  • 2

  • 1

  • 4


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