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Arithmetic Aptitude :: Surds and Indices

  1. \( \frac { (243)^n/5*362n+1} { 9^n*3^n-1 }=?\)

  2. A.

    1

    B.

    2

    C.

    9

    D.

    3n

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  3. \(\frac { 1 } { 1+a^(n-m) } +\)\(\frac { 1 } { 1+a^(m-n) }=?\)

  4. A.

    0

    B.

    \(\frac { 1 } { 2 } \)

    C.

    1

    D.

    am + n

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  5. If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:

  6. A.

    1

    B.

    10

    C.

    121

    D.

    1000

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  7. \([\frac { X^b } {X^c } ]^(b+c-a)\).\([\frac { X^c } {X^a} ]^(c+a-b)\)\([\frac { X^a} {X^b} ]^(a+b-c)=?\)

  8. A.

    xabc

    B.

    1

    C.

    xab + bc + ca

    D.

    xa + b + c

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  9.  

    If x = 3 +2 \(\sqrt{2} \), then the value of \(\sqrt{X} \) - 1 is:
    \(\sqrt{X} \)\(\)
  10. A.

    1

    B.

    2

    C.

    \(2\sqrt{2}\)

    D.

    3\(\sqrt{3}\)

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