Algebra Practice Question and Answer

Q:

 If $${\sqrt{7-2}\over\sqrt{7+2}}=a\sqrt{7}+b$$, then the value of a is : 

1281 0

  • 1
    $${4\over3}$$
    Correct
    Wrong
  • 2
    $${-4√7\over3}$$
    Correct
    Wrong
  • 3
    $${11\over2}$$
    Correct
    Wrong
  • 4
    $$-{4\over3}$$
    Correct
    Wrong
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Answer : 4. " $$-{4\over3}$$"

Q:

If 4x2 + y2 = 40 and xy = 6, then find the value of 2x + y.

1273 0

  • 1
    6
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 2. "8"

Q:

If p3 – q3 = (p-q)[(p-q)2+xpq)] then the value of x is

1265 0

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

Q:

If $$ {x+{1\over x}=7}$$ then $$ {x^{2}+{1\over {x^{2}}}=?}$$

1251 0

  • 1
    47
    Correct
    Wrong
  • 2
    45
    Correct
    Wrong
  • 3
    49
    Correct
    Wrong
  • 4
    51
    Correct
    Wrong
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Answer : 1. "47"

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

1244 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. "$$1\over 3$$"

Q:

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

1243 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:

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

1238 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 3x2-5x+1=0, then the value of ( $$x^2+{1\over 9x^2}$$) is 

1229 0

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

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