1 .
    The letters of the word SOCIETY are placed at random in a row. The probability that the three vowels come together is
    A.  $1 \over 6$
    B.  $1 \over 7$
    C.  $2 \over 7$
    D.  $5 \over 6$
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    2 .
    There are three events $E_ 1$ , $E_ 2$ and $E_ 3$ . One of which must, and only one can happen. The odds are 7 to 4 against $E_ 1 $ and 5 to 3 against $E_ 2$. The odds against $E_ 3$ is
    A.  4 : 11
    B.  3 : 8
    C.  23 : 88
    D.  65 : 23
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    3 .
    If 27 $\times$ $(81)^{2n + 3}$ - $3^m$=0 , then what is m equal to?
    A.  2n + 5
    B.  5n+ 6
    C.  8n+ 3
    D.  8n+ 15
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    4 .
    What is $\sqrt 5 + \sqrt 3 \over \sqrt 5 - \sqrt 3$ + $\sqrt 5 - \sqrt 3 \over \sqrt 5 + \sqrt 3$ equal to ?
    A.  16
    B.  8
    C.  4
    D.  $\sqrt {15}$
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    5 .
    A trader marked a watch 40% above the cost price and then gave a discount of 10%. He made a net profit of Rs.468 after paying a tax of 10% on the gross profit. What is the cost price of the watch?
    A.  Rs. 1200
    B.  Rs.1800
    C.  Rs.2000
    D.  Rs.2340
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    6 .
    By selling 8 dozen pencils, a shopkeeper gains the selling price of 1 dozen pencils. What is the gain?
    A.  12$1 \over 2$ %
    B.  13$1 \over 7$ %
    C.  14$2 \over 7$ %
    D.  87$1 \over 2$ %
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    7 .
    For what value of k, will the expression 3$x^ 3$ - k$x^ 2$ + 4x + 16 be divisible by (x - $k \over 2$) ?
    A.  4
    B.  - 4
    C.  2
    D.  0
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    8 .
    What is the value of 2 + $\sqrt 2$ + $1 \over 2 + \sqrt 2$ - $1 \over 2 - \sqrt 2$ ?
    A.  2
    B.  2 - $\sqrt 2$
    C.  4 + $\sqrt 2$
    D.  2$\sqrt 2$
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    9 .
    If a cos $\theta$- b sin $\theta$= c, then what is the value of a sin $\theta$+ b cos $\theta$?
    A.  � $\sqrt {a^2 + b^2 + c^2}$
    B.  � $\sqrt {a^2 - b^2 + c^2}$
    C.  � $\sqrt {a^2 + b^2 - c^2}$
    D.  � $\sqrt {a^2 - b^2 - c^2}$
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    10 .
    If 2$x^ 2$ cos 60° - 4 $cot^ 2$ 45° - 2 tan 60° = 0, then what is the value of x?
    A.  2
    B.  3
    C.  $\sqrt 3$ - 1
    D.  $\sqrt 3$ + 1
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