Algebra Question with answer Practice Question and Answer

Q:

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

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

639 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 a ≠ b, then which of the following statement is true ?

621 0

  • 1
    $${a+b\over 2}= \sqrt{ab} $$
    Correct
    Wrong
  • 2
    $${a+b\over 2}> \sqrt{ab} $$
    Correct
    Wrong
  • 3
    $${a+b\over 2}< \sqrt{ab} $$
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 2. "$${a+b\over 2}> \sqrt{ab} $$"

Q:

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

587 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  $$n+{2\over 3}n+{1\over2}n+{1\over7}n=97$$ then the value of n is : 

551 0

  • 1
    44
    Correct
    Wrong
  • 2
    46
    Correct
    Wrong
  • 3
    40
    Correct
    Wrong
  • 4
    42
    Correct
    Wrong
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Answer : 4. "42 "

Q:

If $$x+{1\over x}=c{1\over c}$$ then the value of x

524 0

  • 1
    c, 1\c
    Correct
    Wrong
  • 2
    c, c2
    Correct
    Wrong
  • 3
    c, 2c
    Correct
    Wrong
  • 4
    0, 1
    Correct
    Wrong
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Answer : 1. "c, 1\c "

Q:

A complete factorization of x4+64 is 

522 0

  • 1
    $$\left(x^2+8 \right)^2 \ $$
    Correct
    Wrong
  • 2
    $$\left(x^2+8 \right) \ (x^2-8)$$
    Correct
    Wrong
  • 3
    $$\left(x^2-4x+8 \right) \ (x^2-4x-8)$$
    Correct
    Wrong
  • 4
    $$\left(x^2+4x+8 \right) \ (x^2-4x+8)$$
    Correct
    Wrong
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Answer : 4. "$$\left(x^2+4x+8 \right) \ (x^2-4x+8)$$"

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

520 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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