Algebra Practice Question and Answer

Q:

Out of the given responses one of the factors of  (a2-b2)3+(b2-c2)3+(c2-a2)3 is 

2300 0

  • 1
    (a+b) (a-b)
    Correct
    Wrong
  • 2
    (a+b) (a+b)
    Correct
    Wrong
  • 3
    (a – b) (a – b)
    Correct
    Wrong
  • 4
    (b – c) (b – c)
    Correct
    Wrong
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Answer : 1. "(a+b) (a-b)"

Q:

If   $$ {{x+1}\over4x}={5\over 2}$$ then what is the value of   $$ 64x^6+1\over 8x^3  $$

1118 0

  • 1
    110
    Correct
    Wrong
  • 2
    115
    Correct
    Wrong
  • 3
    125
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 2. "115"

Q:

Given k = -3. Find the value of $$ {k^3+3k}$$. 

921 0

  • 1
    -36
    Correct
    Wrong
  • 2
    36
    Correct
    Wrong
  • 3
    37
    Correct
    Wrong
  • 4
    -37
    Correct
    Wrong
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Answer : 1. "-36 "

Q:

Simplification 

1304 0

  • 1
    3/2
    Correct
    Wrong
  • 2
    5/2
    Correct
    Wrong
  • 3
    7/2
    Correct
    Wrong
  • 4
    11/2
    Correct
    Wrong
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Answer : 3. "7/2"

Q:

If then the value of


938 0

  • 1
    -1
    Correct
    Wrong
  • 2
    1
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    41
    Correct
    Wrong
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Answer : 2. "1"

Q:

If average of two x and $$1\over x$$ (where x ≠ 0) is A, what will be the average of x3 and $$1\over {x^3}$$?

920 0

  • 1
    $$4A^3-2A$$
    Correct
    Wrong
  • 2
    $$4A^3-3A$$
    Correct
    Wrong
  • 3
    $$4A^3-4A$$
    Correct
    Wrong
  • 4
    $$4A^2-2A$$
    Correct
    Wrong
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Answer : 2. "$$4A^3-3A$$ "

Q:

If $$ x={\sqrt3\over{2}}$$ then the value of $$ \sqrt{1+x}-\sqrt{1-x}$$ will be

908 0

  • 1
    1
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    $$ \sqrt{3}$$
    Correct
    Wrong
  • 4
    $$ \sqrt{2}$$
    Correct
    Wrong
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Answer : 1. "1"

Q:

If a = 2.234, b = 3.121 and c = –5.355, then the value of $$ a^3 + b^3 + c^3 – 3abc$$ is

1041 0

  • 1
    -1
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 2. "0"

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