Surds and Indices Questions Practice Question and Answer

Q:

The value of $$ {4^{10+n}}.{16^{3n-4}}\over4^{7n}$$ is:

1122 0

  • 1
    8
    Correct
    Wrong
  • 2
    20
    Correct
    Wrong
  • 3
    16
    Correct
    Wrong
  • 4
    4
    Correct
    Wrong
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Answer : 3. "16"

Q:

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

1191 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 $$  3 ^{2x-y}=3^{x+y}=\sqrt{27}$$ then the value of y is

866 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 $$ {2^{2n-1}}={1\over8^{n-3}}$$,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:

If 3 (X-Y)=27 and 3 (X+Y)=243, then X is equal to:

996 0

  • 1
    0
    Correct
    Wrong
  • 2
    2
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    6
    Correct
    Wrong
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Answer : 3. "4"

Q:

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

1207 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:

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

1258 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 :

undefined

Q:

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

3180 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"

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