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Mathematics

Algebra MCQs

Practice Algebra MCQs for competitive exams.

Algebra MCQs

Practice questions from this topic.

If 4x 2 - 6x + 1 = 0, then the value of 8x^3 + frac18x^3 is:

  1. A. 36
  2. B. 13
  3. C. 18
  4. D. 11
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If x + (4)/(x) - 4 = 0, then the value of x 2 - 4 is equal to:

  1. A. 2
  2. B. 4
  3. C. 0
  4. D. 1
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If (4x + 2y) 3 + (4x - 2y) 3 = 16(Ax 3 + Bxy 2), then what is the value of (1)/(2)(sqrt A^2 + B^2)?

  1. A. 8
  2. B. 3
  3. C. 5
  4. D. 7
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If sqrt (1 - p^2)(1 - q^2) = (sqrt(3))/(2), then what is the value of sqrt 2p^2 + 2q^2 + 2pq + sqrt 2p^2 + 2q^2 - 2pq,?

  1. A. 2
  2. B. √2
  3. C. 1
  4. D. None of these
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If x = 255, y = 256, z = 257, then find the value of x 3 + y 3 + z 3 - 3xyz.

  1. A. 1984
  2. B. 2304
  3. C. 1876
  4. D. 1378
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If frac3left(x^2 + 1) - 7x3x = 6, x ≠ 0 the value sqrt(x) + (1)/(sqrt(x)) is:

  1. A. sqrt (35)/(3)
  2. B. sqrt (31)/(3)
  3. C. sqrt (11)/(3)
  4. D. sqrt (25)/(3)
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If frac4left[ (17)^3 - (7)^3 ](17^2 + 7^2 + p) = 40, then what is the value of p?

  1. A. -119
  2. B. -129
  3. C. 119
  4. D. 129
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If 4(4x + 5) > 2x - 1 > 4x - 3, then the value of x is:

  1. A. 2
  2. B. 3
  3. C. -2
  4. D. 0
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If (5√5x 3 - 81√3y 3) ÷ (√5x - 3√3y) = (Ax 2 + By 2 + Cxy), then the value of (6A + B - sqrt(15) C) is:

  1. A. 10
  2. B. 9
  3. C. 15
  4. D. 12
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If (4a - 3b) = 1, ab = (1)/(2) where a > 0 and b > 0, what is the value of (64a 3 + 27b 3)?

  1. A. 15
  2. B. 25
  3. C. 30
  4. D. 35
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If a + b = 5 and ab = 3, then (a 3 + b 3 ) is equal to:

  1. A. 70
  2. B. 75
  3. C. 80
  4. D. 65
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If sqrt(x) + (1)/(sqrt(x)) = 3, then the value of x^3 + frac1x^3 is:

  1. A. 326
  2. B. 322
  3. C. 324
  4. D. 422
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