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Arithmetic Aptitude :: Surds and Indices

  1. (17)3.5 x (17)? = 178

  2. A.

    2.29

    B.

    2.75

    C.

    4.25

    D.

    4.5


  3. If\( [\frac { a } { b }]^X-1\)=\([\frac { b} { a }] ^X-3\), then the value of x is

  4. A.

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

    B.

    1

    C.

    2

    D.

    \([\frac { 7 } { 2 } ]\)


  5. Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:

  6. A.

    1.45

    B.

    1.88

    C.

    2.9

    D.

    3.7


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

  8. A.

    25

    B.

    125

    C.

    625

    D.

    1625


  9. If 3(x - y) = 27 and 3(x + y) = 243, then x is equal to:

  10. A.

    0

    B.

    2

    C.

    4

    D.

    6


  11. (256)0.16 x (256)0.09 = ?

  12. A.

    4

    B.

    16

    C.

    64

    D.

    256.25


  13. The value of [(10)150 ÃƒÆ’· (10)146]

  14. A.

    1000

    B.

    10000

    C.

    100000

    D.

    106


  15. (25)7.5 x (5)2.5 Ã· (125)1.5 = 5?

  16. A.

    8.5

    B.

    13

    C.

    16

    D.

    17.5

    E.

    None of these


  17. \( \frac { 1 } {1+X(b-a)+X(c-a) } \)+\(\frac { 1 } { 1+X(a-b)+X(c-b) }+ \)\(\frac { 1 } {1+X(b-c)+X(a-c)}=?\)

  18. A.

    0

    B.

    1

    C.

    xa - b - c

    D.

    None of these


  19.  

    (0.04)-1.5 = ?

  20. A.

    25

    B.

    125

    C.

    250

    D.

    625