Algebra Question with answer Practice Question and Answer

Q:

If $$p×q=p+q+{p\over q}$$, the value of 8 × 2  is : 

788 0

  • 1
    14
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    10
    Correct
    Wrong
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Answer : 1. "14 "

Q:

If a2x+2=1, where a is a positive real number other than 1, then x is equal to 

788 0

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

Q:

If x = a - b, y = b - c, z = c - a, then the numerical value of the algebraic expression x3 +y3 + z3 -3xyz will be 

769 0

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

Q:

If x is real then the minimum value of (x2-x-1) is :

769 0

  • 1
    1
    Correct
    Wrong
  • 2
    $$-{5\over 4}$$
    Correct
    Wrong
  • 3
    $$3\over 4 $$
    Correct
    Wrong
  • 4
    0
    Correct
    Wrong
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Answer : 2. " $$-{5\over 4}$$"

Q:

$$ {x^{8}+4\over{x^{4}+2x^{2}+2}}$$ is equal to

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  • 1
    $$ {x^{4}+2x^{2}-2}$$
    Correct
    Wrong
  • 2
    $$ {x^{4}-2x^{2}+2}$$
    Correct
    Wrong
  • 3
    $$ {x^{4}-2x^{2}-2}$$
    Correct
    Wrong
  • 4
    Can’t be simplified
    Correct
    Wrong
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Answer : 2. "$$ {x^{4}-2x^{2}+2}$$"

Q:

If a=25, b=15 , c=-10 then find the value of $$ {a^{3}+b^{3}+c^{3}-3abc\over {(a-b)^{2}+(b-c)^{2} +(c-a)^{2}}}$$

759 0

  • 1
    30
    Correct
    Wrong
  • 2
    -15
    Correct
    Wrong
  • 3
    -30
    Correct
    Wrong
  • 4
    15
    Correct
    Wrong
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Answer : 4. "15"

Q:

If $$ {x^{4}+x^{2}y^{2}+y^{4}={21\over256}}$$ and $$ {x^{2}+xy+y^{2}={3\over16}}$$ then $$ {2(x^{2}+y^{2})}=?$$

745 0

  • 1
    $$ {3\over 8}$$
    Correct
    Wrong
  • 2
    $$ {5\over 8}$$
    Correct
    Wrong
  • 3
    $$ {3\over 4}$$
    Correct
    Wrong
  • 4
    $$ {5\over 16 }$$
    Correct
    Wrong
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Answer : 2. "$$ {5\over 8}$$"

Q:

If $$ {a={1+x\over 2-x}}$$, then find the value $$ {1\over {a+1}}+{2a+1\over{a^{2}-1}}$$ ?

720 0

  • 1
    $$ {(1+x)(2+x)\over {2x-1}}$$
    Correct
    Wrong
  • 2
    $$ {(1-x)(2-x)\over {x-1}}$$
    Correct
    Wrong
  • 3
    $$ {(1+x)(2-x)\over {2x-1}}$$
    Correct
    Wrong
  • 4
    $$ {(1+x)(2-x)\over {2x+1}}$$
    Correct
    Wrong
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Answer : 3. "$$ {(1+x)(2-x)\over {2x-1}}$$"

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