Surds and Indices Questions Practice Question and Answer

Q:

If $$ {81\ × 343\ ×625}={3^{p}}\ {7^{q}}\ {5^{r}}$$ then find out the value of  $$ {\sqrt{(p-r)^{2}+q^{2}}}$$.

949 0

  • 1
    5
    Correct
    Wrong
  • 2
    3
    Correct
    Wrong
  • 3
    7
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "3"

Q:

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

1076 0

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

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"

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:

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:

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. $$ ^{4}{\sqrt{9}}>{^{3}{\sqrt{15}}}>{^{6}{\sqrt{24}}}$$

886 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:

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

1007 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:

$$ \sqrt{.081×.484\over0.0064×6.25}=?$$

959 0

  • 1
    9
    Correct
    Wrong
  • 2
    0.9
    Correct
    Wrong
  • 3
    0.99
    Correct
    Wrong
  • 4
    99
    Correct
    Wrong
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Answer : 3. "0.99"

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