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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.

The value of frac2sqrt(10) sqrt(5) + sqrt(2) - sqrt(7) - sqrt(fracsqrt) 5 - 2sqrt(5) + 2 - frac3sqrt(7) - 2textis:

  1. A. √7
  2. B. 2 + √2
  3. C. √2
  4. D. 2√5
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The value of (0.3) [{200 - 146}/(3 × 3 × 3) - 3] is:

  1. A. frac83
  2. B. frac53
  3. C. frac103
  4. D. frac73
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If x = sqrt(aroot) 3 of bsqrt(aroot) 3 of b,.....,infty, then the value of x is:

  1. A. root 5 of ab^3
  2. B. root 3 of a^5b
  3. C. root 3 of a^3b
  4. D. root 5 of a^3b
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If textx^frac16 = texty^frac23, then relation between x and y is.

  1. A. x = y 2
  2. B. x = y 4
  3. C. x 4 = y
  4. D. x 3 = y 3
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Let root 3 of a = root 3 of 26 + root 3 of 7 + root 3 of 63 then

  1. A. a 216
  2. B. a < 216
  3. C. a > 729
  4. D. a = 729
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Find the simplest value of 2sqrt(50) + sqrt(18) - sqrt(72) (given √2 = 1.414).

  1. A. 4.242
  2. B. 9.898
  3. C. 10.6312
  4. D. 8.484
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A tap is dripping at a constant rate into a container. The level (L cm) of the water in the container is given by the equation L = 2 - 2 t , where t is time taken in hours. Then the level of water in the container at the start is.

  1. A. 0 cm
  2. B. 1 cm
  3. C. 2 cm
  4. D. 4 cm
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If (X) = frac1x - frac1x + 1, then what is the value of f(1) + f(2) + f(3) +..... + f(10)?

  1. A. frac910
  2. B. frac1011
  3. C. frac1112
  4. D. frac1213
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The value of sqrt(2root) 3 of 4sqrt(2root) 3 of 4...... is?

  1. A. 2
  2. B. 2 2
  3. C. 2 3
  4. D. 2 5
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Which of the following relation is/are true? eqalign& textI.(27)^frac13 > (13)^frac12 < (47)^frac16 cr & textII.(23)^frac13 < (49)^frac12 < (52)^frac16 cr & textIII.(53)^frac16 < (41)^frac13 < (37)^frac12 cr

  1. A. Only III
  2. B. Both I and II
  3. C. II and III only
  4. D. All relations are false
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Which of the following statement(s) is/are TRUE? eqalign& textI.sqrt(12) > root 3 of 16 > root 4 of 24 cr & textII.root 3 of 25 > root 4 of 32 > root 6 of 48 cr & textIII.root 4 of 9 > root 3 of 15 > root 6 of 24 cr

  1. A. Only I and II
  2. B. Only I and III
  3. C. Only I
  4. D. All are true
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If (√2 + √5 - √3) × k = -12, then what will be the value of k?

  1. A. √2 + √5 + √3
  2. B. (√2 + √5 - √3) (2 + √5)
  3. C. (√2 + √5 + √3) (2 - √5)
  4. D. (√2 + √5 + √3) (2 - sqrt(10))
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