Surds and Indices Practice Question and Answer

Q:

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

3195 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 $$ {3^{4x-y}={3^{x+y}=\sqrt{27}}}$$,  then the value of y is:

1741 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. "$$ {9\over 10}$$"

Q:

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

1271 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:

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

1243 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 5a=3125, then the value of 5(a-3) is:

1222 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:

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

1204 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:

If $$ \sqrt{0.04×0.4×a} =0.4×0.04×{\sqrt{b}}$$ then the value of $$ {a\over b}$$ is:

1162 0

  • 1
    0.016
    Correct
    Wrong
  • 2
    0.16
    Correct
    Wrong
  • 3
    1
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
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Answer : 1. "0.016"

Q:

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

1152 1

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

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