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?

2946 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:

1603 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

1104 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 5a=3125, then the value of 5(a-3) is:

1076 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:

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

1063 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:

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

1043 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:

Solve for x if $$ {x^{a^{3}}}.x^{b^{3}}.x^{3ab(a+b)}=(2^{5})^{25},a+b=5 $$

986 0

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

Q:

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

980 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"

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