Algebra Practice Question and Answer

Q:

If  $$ \ {xy\over x+y}= a, $$ $${xz\over x+z}=b $$ and $$ {yz\over y+z} =c $$  where a, b, c are all non – zero numbers, then x equals to

2052 0

  • 1
    $$ 2abc\over {ab+bc-ac} $$
    Correct
    Wrong
  • 2
    $$ 2abc\over {ab+ac-ac} $$
    Correct
    Wrong
  • 3
    $$ 2abc\over {ac+bc-ab} $$
    Correct
    Wrong
  • 4
    $$ 2abc\over {ac+bc-ac} $$
    Correct
    Wrong
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Answer : 3. "$$ 2abc\over {ac+bc-ab} $$"

Q:

Simplification 

2040 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 a=x+y, b=x-y, c=x+2y, then $$ {a^2+b^2+c^2}-ab-bc-ca $$ is

2039 0

  • 1
    $${4y^2}$$
    Correct
    Wrong
  • 2
    $${5y^2}$$
    Correct
    Wrong
  • 3
    $${6y^2}$$
    Correct
    Wrong
  • 4
    $${7y^2}$$
    Correct
    Wrong
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Answer : 4. "$${7y^2}$$"

Q:

If x = 2 then the value of $$ x^3 + 27x^2 + 243x + 631$$ is:

2019 0

  • 1
    1211
    Correct
    Wrong
  • 2
    1231
    Correct
    Wrong
  • 3
    1233
    Correct
    Wrong
  • 4
    1321
    Correct
    Wrong
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Answer : 3. "1233"

Q:

If a+b+c=15 and a2+b2+c2=83 then the value of a3+b3+c3-3abc

1999 0

  • 1
    190
    Correct
    Wrong
  • 2
    210
    Correct
    Wrong
  • 3
    200
    Correct
    Wrong
  • 4
    180
    Correct
    Wrong
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Answer : 4. "180"

Q:

If p=99, then the value of p(p2+3p+3) will be

1987 0

  • 1
    1000001
    Correct
    Wrong
  • 2
    999998
    Correct
    Wrong
  • 3
    999999
    Correct
    Wrong
  • 4
    1000000
    Correct
    Wrong
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Answer : 3. "999999"

Q:

If a\b + b\a =1, then the value of a3+b3 will be 

1982 0

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

Q:

Given that 100.48 = x, 100.70 = y and x2 = y2, then the value of z is close to

1980 0

  • 1
    1.45
    Correct
    Wrong
  • 2
    1.88
    Correct
    Wrong
  • 3
    2.9
    Correct
    Wrong
  • 4
    3.7
    Correct
    Wrong
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Answer : 3. "2.9"

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