Surds and Indices Questions Practice Question and Answer

Q:

If $$ {(\sqrt {3})^{5}× {9}^{2}={3^{n}{×3\sqrt {3}}}}$$ then value of n 

1147 1

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

Q:

The value of which one of the following fractions falls in between $$ {3\over 5}$$ and $$ {7\over 8}$$?

961 0

  • 1
    $$ {8\over 9}$$
    Correct
    Wrong
  • 2
    $$ {4\over 7}$$
    Correct
    Wrong
  • 3
    $$ {12\over 13}$$
    Correct
    Wrong
  • 4
    $$ {6\over 7}$$
    Correct
    Wrong
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Answer : 4. "$$ {6\over 7}$$"

Q:

$$ {({1\over25})^{-1\over2}}+{({8\over 27})^{-1\over3}}$$

944 0

  • 1
    $$ {9\over 2}$$
    Correct
    Wrong
  • 2
    $$ {13\over 2}$$
    Correct
    Wrong
  • 3
    $$ {13\over 15}$$
    Correct
    Wrong
  • 4
    $$ {5\over 9}$$
    Correct
    Wrong
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Answer : 2. "$$ {13\over 2}$$"

Q:

$$ {5^{1\over 4}×(125)^{0.25}}$$ is equal to

946 0

  • 1
    $$ {\sqrt{5}}$$
    Correct
    Wrong
  • 2
    $$ {5\sqrt{5}}$$
    Correct
    Wrong
  • 3
    5
    Correct
    Wrong
  • 4
    25
    Correct
    Wrong
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Answer : 3. "5"

Q:

Solve for x if $$ {x^{a^{3}}}.x^{b^{3}}.x^{3ab(a+b)}=(2^{5})^{25},a+b=5 $$

1137 0

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

Q:

What is the value of a5 × a7 ?

970 0

  • 1
    $$ {a^{35}}$$
    Correct
    Wrong
  • 2
    $$ {a^{2}}$$
    Correct
    Wrong
  • 3
    $$ {a^{12}}$$
    Correct
    Wrong
  • 4
    $$ {a^{5}}$$
    Correct
    Wrong
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Answer : 3. "$$ {a^{12}}$$"

Q:

Find the value of $$ \sqrt{20+\sqrt{29-\sqrt{12+\sqrt{19-\sqrt{9}}}}}$$.

1239 0

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

Q:

If $$ {3^{4x-y}={3^{x+y}=\sqrt{27}}}$$,  then the value of y is:

1735 0

  • 1
    $$ {9\over 10}$$
    Correct
    Wrong
  • 2
    $$ {3\over 2}$$
    Correct
    Wrong
  • 3
    2
    Correct
    Wrong
  • 4
    $$ {3\over 4}$$
    Correct
    Wrong
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Answer : 1. "$$ {9\over 10}$$"

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