Surds and Indices Questions Practice Question and Answer

Q:

Which of the following statements is /are True?
I. $$ {33^3}>{3^{33}}$$
II. $$ {333}>{(3^{3})^{3}}$$

1020 0

  • 1
    only I
    Correct
    Wrong
  • 2
    only II
    Correct
    Wrong
  • 3
    Both I and II
    Correct
    Wrong
  • 4
    Neither I nor II
    Correct
    Wrong
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Answer : 4. "Neither I nor II"

Q:

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

948 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:

Greatest among the numbers
$$^{3}\sqrt{9},\sqrt{3},\ ^{4}\sqrt{16},\ ^{6}\sqrt{180}$$ is

1269 0

  • 1
    $$^{3}\sqrt{9}$$
    Correct
    Wrong
  • 2
    $$\sqrt{3}$$
    Correct
    Wrong
  • 3
    $$^{4}\sqrt{16}$$
    Correct
    Wrong
  • 4
    $$^{6}\sqrt{180}$$
    Correct
    Wrong
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Answer : 1. "$$^{3}\sqrt{9}$$"
Explanation :

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Q:

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

873 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 $$ (3^{33}+3^{33}+3^{33})(2^{33}+2^{33})=6^x$$, the what is the value of x?

3190 0

  • 1
    34
    Correct
    Wrong
  • 2
    35
    Correct
    Wrong
  • 3
    33
    Correct
    Wrong
  • 4
    33.5
    Correct
    Wrong
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Answer : 1. "34"

Q:

If 5a=3125, then the value of 5(a-3) is:

1221 0

  • 1
    25
    Correct
    Wrong
  • 2
    125
    Correct
    Wrong
  • 3
    625
    Correct
    Wrong
  • 4
    1625
    Correct
    Wrong
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Answer : 1. "25"

Q:

$$ \sqrt{217+\sqrt{48+\sqrt{256}}}=?$$

1201 0

  • 1
    14
    Correct
    Wrong
  • 2
    15
    Correct
    Wrong
  • 3
    14.4
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
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Answer : 2. "15"

Q:

Find out the value of $$ {\sqrt{(121)}} +{\sqrt{(12321)}}+{\sqrt{(1234321)}}$$.

1083 0

  • 1
    1233
    Correct
    Wrong
  • 2
    1234
    Correct
    Wrong
  • 3
    1244
    Correct
    Wrong
  • 4
    983
    Correct
    Wrong
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Answer : 1. "1233"

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