Surds and Indices Practice Question and Answer

Q:

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

1141 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:

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

1129 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:

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

1079 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:

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

1016 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:

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

1002 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 $$ {(2x-5y)^{3}-(2x+5y)^{3}=y{[A{x}^{2}+B{y}^{2}]}}$$, then what is the value of $$ {(2A-B)}$$?

973 0

  • 1
    25
    Correct
    Wrong
  • 2
    10
    Correct
    Wrong
  • 3
    15
    Correct
    Wrong
  • 4
    40
    Correct
    Wrong
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Answer : 2. "10"

Q:

What is the value of a5 × a7 ?

972 0

  • 1
    $$ {a^{35}}$$
    Correct
    Wrong
  • 2
    $$ {a^{2}}$$
    Correct
    Wrong
  • 3
    $$ {a^{12}}$$
    Correct
    Wrong
  • 4
    $$ {a^{5}}$$
    Correct
    Wrong
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Answer : 3. "$$ {a^{12}}$$"

Q:

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

966 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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