Algebra Question with answer Practice Question and Answer

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

694 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:

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

715 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, y are two positive real number and  $$x^{1/3}=y^{1/4}$$, then which of the following relations is true?

928 0

  • 1
    $$x=y^3$$
    Correct
    Wrong
  • 2
    $$x^{20}=y^{15}$$
    Correct
    Wrong
  • 3
    $$x^3=y^4$$
    Correct
    Wrong
  • 4
    $$x^3=y$$
    Correct
    Wrong
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Answer : 2. " $$x^{20}=y^{15}$$"

Q:

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

727 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:

Two numbers x and y (x>y) such that their sum is equal to three times their difference. Then value of $$3xy\over 2(x^2-y^2$$ will be 

738 0

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

Q:

If $$ P={{x^2-36}\over{x^2-49}}$$ and $$ Q={{x+6}\over{x+7}}$$ then the value of $$ {P\over{Q}}$$ is.

836 0

  • 1
    $$ {x-6}\over {x-7}$$
    Correct
    Wrong
  • 2
    $$ {x-6}\over {x+7}$$
    Correct
    Wrong
  • 3
    $$ {x-7}\over {x+6}$$
    Correct
    Wrong
  • 4
    $$ {x+6}\over {x-7}$$
    Correct
    Wrong
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Answer : 1. "$$ {x-6}\over {x-7}$$"

Q:

If a+b=17,and a – b =9, then the value of $$ {(4a^2+4b^2)}$$ is:

1019 0

  • 1
    710
    Correct
    Wrong
  • 2
    720
    Correct
    Wrong
  • 3
    730
    Correct
    Wrong
  • 4
    740
    Correct
    Wrong
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Answer : 4. "740"

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