1 . If x+($1\over x$)=2 then the value of $x^7$+ ($1\over x^7$) is
    A.$2^5$
    B. 2
    C. $2^12$
    D.$2^7$
    A.  a
    B.  b
    C.  c
    D.  d
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    2 . If a shop-keeper purchases cashewnut at ` 250 per kg and sells it at ` 10 per 50 grams, then he will have ____
    A.  25% Profit
    B.  25% Loss
    C.  20% Loss
    D.  20% Profit
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    3 . The average of some natural numbers is 15. If 30 is added to first number and 5 is subtracted f rom the l ast number the average becomes 17.5 then the number of natural number is ?
    A.  10
    B.  30
    C.  20
    D.  15
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    4 . The total s urf ace area of a regul ar triangular pyramid with each edges of length 1 cm is ?
    A. $4\sqrt3$ $cm^2$
    B. $\sqrt3$ $cm^2$
    C. 4 $cm^2$
    D.$4\over3$$\sqrt3$ $cm^2$
    A.  a
    B.  b
    C.  c
    D.  d
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    5 . The shadow of a tower standing on a level plane is found to be 40 m longer when the sun's altitude is 45°, than when it is 60°. The height of the tower is
    A.30(3+$\sqrt3$)m
    B.40(3+$\sqrt3$)m
    C.20(3+$\sqrt3$)m
    D.10(3+$\sqrt3$)m
    A.  a
    B.  b
    C.  c
    D.  d
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    6 . Provided, sin(A – B) = sinA cosB – cosA sinB, then sin15° will be
    A.$\sqrt3-3\over2\sqrt3$
    B.$\sqrt3-3\over\sqrt2$
    C.$\sqrt3\over2\sqrt2$
    D.$\sqrt3+3\over2\sqrt3$
    A.  a
    B.  b
    C.  c
    D.  d
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    7 . The ratio of the ages of A and B at present is 3 : 1. Four years earlier the ratio was 4 : 1. The present age of A is ?
    A.  36 years
    B.  32 years
    C.  48 years
    D.  40 years
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    8 . If sinθ+ $sin^2$θ = 1, then value of $cos^2$ θ+ $cos^4$θ is
    A.  0
    B.  1
    C.  2
    D.  -1
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    9 . A bus moving at 40 km per hour covers a distance in 6 hours 15 minutes. If it travels the same distance at 50 km per hour how long will it take to cover the distance ?
    A.  5 hrs
    B.  6 hrs
    C.  4 hrs
    D.  2 hrs
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    10 . If αis an acute angle and 2sin α+ 15 cos2 α= 7, then the value of cot α is
    A.$3\over4$
    B.$5\over4$
    C.$4\over3$
    D.$4\over5$
    A.  a
    B.  b
    C. 
    D.  c
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