Surds and Indices Questions Practice Question and Answer

Q:

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

939 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:

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

937 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:

Which of the following statements is/are True?
I. $$ {\sqrt{12}}>{^{3}{\sqrt{16}}}>{^{4}{\sqrt{24}}}$$
II. $$ ^{3}{\sqrt{25}}>{^{4}{\sqrt{32}}}>{^{6}{\sqrt{48}}}$$
III. $$ ^{4}{\sqrt{9}}>{^{3}{\sqrt{15}}}>{^{6}{\sqrt{24}}}$$

887 0

  • 1
    only I and II
    Correct
    Wrong
  • 2
    Only I and III
    Correct
    Wrong
  • 3
    Only I
    Correct
    Wrong
  • 4
    All are true
    Correct
    Wrong
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Answer : 1. "only I and II"

Q:

If $$  3 ^{2x-y}=3^{x+y}=\sqrt{27}$$ then the value of y is

867 0

  • 1
    $$ {1\over2}$$
    Correct
    Wrong
  • 2
    $$ {3\over2}$$
    Correct
    Wrong
  • 3
    $$ {1\over8}$$
    Correct
    Wrong
  • 4
    $$ {3\over4}$$
    Correct
    Wrong
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Answer : 1. "$$ {1\over2}$$"

Q:

If  $$ {x^{\sqrt{x}}}={({x{\sqrt{x}}})^{x}}$$, then the find the value of x

865 0

  • 1
    $$ {3\over4}$$
    Correct
    Wrong
  • 2
    $$ {3\over5}$$
    Correct
    Wrong
  • 3
    $$ {9\over4}$$
    Correct
    Wrong
  • 4
    $$ {7\over4}$$
    Correct
    Wrong
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Answer : 3. "$$ {9\over4}$$"

Q:

If $$ {2^{2n-1}}={1\over8^{n-3}}$$,then the value of n is:

768 0

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

Q:

$$ {{2^n+2^{n-1}}\over {2^{n+1} -2^n}}=?$$

750 0

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

Q:

Find the cube root of $$ ^{3}\sqrt{-13824}$$.

729 0

  • 1
    24
    Correct
    Wrong
  • 2
    38
    Correct
    Wrong
  • 3
    -24
    Correct
    Wrong
  • 4
    -38
    Correct
    Wrong
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Answer : 3. "-24"

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