Algebra Practice Question and Answer

Q:

If a = 7, b = 5 and c = 3, then the value of $$a^2+b^2+c^2-ab-bc-ca$$ is 

1117 0

  • 1
    0
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    12
    Correct
    Wrong
  • 4
    -12
    Correct
    Wrong
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Answer : 3. "12 "

Q:

If x2+4y2=17 and xy=2, where x>0,y>0, then what is the value of x3+8y3?

1113 0

  • 1
    95
    Correct
    Wrong
  • 2
    85
    Correct
    Wrong
  • 3
    65
    Correct
    Wrong
  • 4
    76
    Correct
    Wrong
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Answer : 3. "65"

Q:

If $$64^{x+1}={64\over 4^x}$$, then the value of x

1113 0

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

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 

1111 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:

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

1111 0

  • 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, b are rational number and (a-1)√2+3=b√2+a, the value of (a+b) is : 

1105 0

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

Q:

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

1104 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=26 and b=22, then the value of   $${{a^3-b^3}\over {a^2-b^2}}-{3ab\over a+b}$$ is

1093 0

  • 1
    $$11\over 13$$
    Correct
    Wrong
  • 2
    $$1\over 3$$
    Correct
    Wrong
  • 3
    $$5\over 3$$
    Correct
    Wrong
  • 4
    $$13\over 11$$
    Correct
    Wrong
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Answer : 2. "$$1\over 3$$"

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