General Ability and Intelligence - Surds & indices

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Question - 1

The value of \({ (256) }^{ \frac { 5 }{ 4 } }\)

  • A 512
  • B 984
  • C 1024
  • D 1032

Question - 2

The value of \({ (\sqrt { 8 } ) }^{ \frac { 1 }{ 3 } }\)is:

  • A 2
  • B 4
  • C \(\sqrt { 2 } \)
  • D 8

Question - 3

The value of \((\frac { 32 }{ 243 } )^{ -\frac { 4 }{ 5 } }\)is:

  • A \(\frac { 4 }{ 9 } \)
  • B \(\frac { 9 }{ 4 } \)
  • C \(\frac { 16 }{ 81 } \)
  • D \(\frac { 81 }{ 16 } \)

Question - 4

The value of \(({ -\frac { 1 }{ 216 } ) }^{ -\frac { 2 }{ 3 } }\)is :

  • A 36
  • B -36
  • C \(\frac { 1 } { 36 }\)
  • D \(-\frac { 1 } { 36 } \)

Question - 5

The value of \({ 5 }^{ \frac { 1 }{ 4 } }\times ({ 125 })^{ 0.25 }\) is :

  • A \(\sqrt { 5 } \)
  • B 5
  • C \(5\sqrt { 5 } \)
  • D 25

Question - 6

The value of \(\frac { 1 }{ { (216) }^{ -\frac { 2 }{ 3 } } } +\frac { 1 }{ { (256) }^{ -\frac { 3 }{ 4 } } } +\frac { 1 }{ { (32) }^{ -\frac { 1 }{ 5 } } } \)is:

  • A 102
  • B 105
  • C 107
  • D 109

Question - 7

The value of \([{ (10) }^{ 150 }\div { (10) }^{ 146 }]\) is:

  • A 1000
  • B 10000
  • C 100000
  • D \({ 10 }^{ 6 }\)

Question - 8

\((2.4\times { 10 }^{ 3 })\div (8\times { 10 }^{ -2 })=?\)

  • A \(3\times { 10 }^{ -5 }\)
  • B \(3\times { 10 }^{ 4 }\)
  • C \(3\times { 10 }^{ 5 }\)
  • D 30

Question - 9

\({ (\frac { 1 }{ 216 } ) }^{ -\frac { 2 }{ 3 } }\div { (\frac { 1 }{ 27 } ) }^{ -\frac { 4 }{ 3 } }=?\)

  • A \(\frac { 3 } { 4 }\)
  • B \(\frac { 2 } { 3 }\)
  • C \(\frac { 4 } { 9 }\)
  • D \(\frac { 1 } { 8 }\)

Question - 10

\({ (1000) }^{ 7 }\div { 10 }^{ 18 }=\)?

  • A 10
  • B 100
  • C 1000
  • D 10000
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