Maths Practice Question and Answer

Q:

If a = 2·361, b = 3·263 and c = 5·624, then the value of a3 + b3 – c+ 3abc is

813 0

  • 1
    35·621
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    19·277
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 2. "0"

Q:

If p, q, r are all real numbers, then (p – q)3 + (q – r)3 + (r – p)3 is equal to 

654 0

  • 1
    (p – q) (q – r) (r – p)
    Correct
    Wrong
  • 2
    3(p – q) (q – r) (r – p)
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 2. "3(p – q) (q – r) (r – p) "

Q:

If a3 – b3 – c3 – 3abc = 0, then 

766 0

  • 1
    a = b = c
    Correct
    Wrong
  • 2
    a + b + c = 0
    Correct
    Wrong
  • 3
    a + c = b
    Correct
    Wrong
  • 4
    a = b + c
    Correct
    Wrong
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Answer : 4. "a = b + c"

Q:

If x = 2 - 21/3 + 22/3, then the value of x3– 6x2 + 18x + 18 is

663 0

  • 1
    22
    Correct
    Wrong
  • 2
    33
    Correct
    Wrong
  • 3
    40
    Correct
    Wrong
  • 4
    45
    Correct
    Wrong
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Answer : 3. "40 "

Q:

If x = – 1, then the value of   $$ {1\over x^{99}}+{1\over x^{98}}+{1\over x^{97}}+{1\over x^{96}}+{1\over x^{95}}+{1\over x^{94}}+x $$ is

614 0

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

Q:

The value of (x + y + z)3 – (y + z – x)3 – (z + x – y)3 – (x + y – z)3 is:

545 0

  • 1
    12 xyz
    Correct
    Wrong
  • 2
    24 xyz
    Correct
    Wrong
  • 3
    36 xyz
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 2. "24 xyz "

Q:

$$x+{1\over x}=2$$ and x is real, then the value of $$x^{17}+{1\over x^{19}}$$ is

684 0

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

Q:

If x = 19 and y = 18, then the value of   $$ {{x^2}+{y^2}+{xy}}\over x^3-y3 $$ is

630 0

  • 1
    1
    Correct
    Wrong
  • 2
    37
    Correct
    Wrong
  • 3
    324
    Correct
    Wrong
  • 4
    361
    Correct
    Wrong
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Answer : 1. "1 "

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