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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