Algebra Practice Question and Answer

Q:

If (a-b)=-3 , (b-c)=5 and (c-a)=-2, then the value of $$ {a^{3}+b^{3}+c^{3}-3abc\over a+b+c}$$.

878 0

  • 1
    18
    Correct
    Wrong
  • 2
    17
    Correct
    Wrong
  • 3
    10.5
    Correct
    Wrong
  • 4
    20.5
    Correct
    Wrong
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Answer : 2. "17"

Q:

If $$ {x=a^{2\over3}-a^{-2\over3}}$$ then the value of $$ {x^{3}+3x}$$.

787 0

  • 1
    $$ {a^2-{1\over{a^{2}}}}$$
    Correct
    Wrong
  • 2
    $$ {a^2+{1\over{a^{2}}}}$$
    Correct
    Wrong
  • 3
    $$ {a+{1\over a}}$$
    Correct
    Wrong
  • 4
    $$ {a-{1\over a}}$$
    Correct
    Wrong
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Answer : 1. "$$ {a^2-{1\over{a^{2}}}}$$"

Q:

If $$ x=\sqrt{\sqrt{5}+1\over {\sqrt{5}-1}}$$ then the value  of $$ {5x^2-5x-1}$$ will be:

744 0

  • 1
    0
    Correct
    Wrong
  • 2
    3
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    5
    Correct
    Wrong
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Answer : 3. "4"

Q:

If $$ {x+{1\over x}}=2$$ then find out the value of $${2x^2+2}\over{3x^2+5x+3}$$

726 0

  • 1
    $${4\over 11}$$
    Correct
    Wrong
  • 2
    $${5\over 11}$$
    Correct
    Wrong
  • 3
    $${7\over 5}$$
    Correct
    Wrong
  • 4
    $${4\over 9}$$
    Correct
    Wrong
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Answer : 1. "$${4\over 11}$$"

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:

If x - y = 3, then what is the value of x- y3-9xy? 

1292 0

  • 1
    18
    Correct
    Wrong
  • 2
    27
    Correct
    Wrong
  • 3
    3
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
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Answer : 2. "27 "

Q:

If bc+ab+ca=abc, then the value of $$ {b+c\over {bc(a-1)}}+{a-c\over {ac(b-1)}}+{a+b\over {ab(c-1)}}$$ is

952 0

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

Q:

If $$ {3x+}{2\over {\sqrt{x}}}=1$$ then $$ {x-{\sqrt{x}}}=?$$

1028 0

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

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