Algebra Question with answer Practice Question and Answer

Q:

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

1586 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 $$ {\sqrt{2x+9}+x=13}$$ then find the value of x?

1576 0

  • 1
    -20
    Correct
    Wrong
  • 2
    80
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 3. "8"

Q:

If $$ {x+{1\over x}}=2$$ then find out the value of $${2x^2+2}\over{3x^2+5x+3}$$

1575 0

  • 1
    $${4\over 11}$$
    Correct
    Wrong
  • 2
    $${5\over 11}$$
    Correct
    Wrong
  • 3
    $${7\over 5}$$
    Correct
    Wrong
  • 4
    $${4\over 9}$$
    Correct
    Wrong
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Answer : 1. "$${4\over 11}$$"

Q:

If xy(x+y)=1, then $$ {1\over x^3 y^3}-{x^3-y^3}$$ is equal to-

1571 0

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

Q:

The ratio of two unequal sides of a rectangle is 1 : 2. If its perimeter is 24 cm, then the length of diagonal in cm is:

1567 0

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

Q:

If a + a2+a3-1=0, then what is the value of a3 +(1/a)?

1565 0

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

Q:

If 0.4 m + 0.8 n = 2.2 and 0.8 m + 0.4 n = 1.4, then the value of $$ {m^2}+{n^2}$$ is equal to 

1553 0

  • 1
    8.5
    Correct
    Wrong
  • 2
    6.5
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
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Answer : 2. "6.5"

Q:

If  $$\sqrt{a}+\sqrt{b}=15 \ and \ (\sqrt{a}-\sqrt{b} )=3$$ then the value of $$\sqrt{ab/4} $$ is 

1548 0

  • 1
    $$27\over 2$$
    Correct
    Wrong
  • 2
    5
    Correct
    Wrong
  • 3
    6
    Correct
    Wrong
  • 4
    7
    Correct
    Wrong
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Answer : 1. "$$27\over 2$$"

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