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Mathematics

Surds And Indices MCQs

Practice Surds And Indices MCQs for competitive exams.

Surds And Indices MCQs

Practice questions from this topic.

If (3 33 + 3 33 + 3 33 )(2 33 + 2 33 ) = 6 x , then what is the value of x?

  1. A. 34
  2. B. 35
  3. C. 33
  4. D. 33.5
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The value of (d s + t ÷ d s ) ÷ d t would be

  1. A. d 2(s + t)
  2. B. 1
  3. C. 0
  4. D. d s - t
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Which of the following is true? eqalign& textI.root 3 of 11 > sqrt(7) > root 4 of 45 cr & textII.sqrt(7) > root 3 of 11 > root 4 of 45 cr & textIII.sqrt(7) > root 4 of 45 > root 3 of 11 cr & textIV.root 4 of 45 > sqrt(7) > root 3 of 11 cr

  1. A. Only I
  2. B. Only II
  3. C. Only III
  4. D. Only IV
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If 5√3 + sqrt(75) = 17.32, then the value of 14√3 + sqrt(108) is.

  1. A. 32.46
  2. B. 35.64
  3. C. 34.64
  4. D. 33.86
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3 x - 3 x - 1 = 486, Find x

  1. A. 7
  2. B. 9
  3. C. 5
  4. D. 6
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What is the value of fracsqrt(7) + sqrt(5) sqrt(7) - sqrt(5) / fracsqrt(14) + sqrt(10) sqrt(14) - sqrt(10) + fracsqrt(10) sqrt(5)?

  1. A. √2 + 1
  2. B. 2√2 + 2
  3. C. √2 + 2
  4. D. 2√2 + 1
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If a, b are rationals and a√2 + b√3 = sqrt(98) + sqrt(108) - sqrt(48) - sqrt(72), then the values of a, b are respectively

  1. A. 1, 2
  2. B. 1, 3
  3. C. 2, 1
  4. D. 2, 3
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(3x - 2y): (2x + 3y) = 5: 6, then one of the value of (fracroot 3 of x + root 3 of y root 3 of x - root 3 of y)^2 is?

  1. A. frac125
  2. B. 5
  3. C. frac15
  4. D. 25
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The value of fracsqrt(72) times sqrt(363) times sqrt(175) sqrt(32) times sqrt(147) times sqrt(252) is?

  1. A. frac5542
  2. B. frac4556
  3. C. frac4528
  4. D. frac5528
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The value of fracleft(243)^fracn5 times 3^2n + 19^n times 3^n - 1 is?

  1. A. 3
  2. B. 9
  3. C. 6
  4. D. 12
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Which one among root 3 of 6,,root 2 of 5 and root 6 of 12 is the largest?

  1. A. root 3 of 6
  2. B. root 2 of 5
  3. C. root 6 of 12
  4. D. All are equal
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The simplified value of (√3 + 1) (10 + sqrt(12)) (sqrt(12) - 2) (5 - √3) is

  1. A. 16
  2. B. 88
  3. C. 176
  4. D. 132
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