1 .
If (x + 3264 $\times$ 3266) be a square number, then the value of x is -
A.  0
B.  1
C.  2
D.  3265
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2 .
It cost Rs. 11 a kilometer by an aeroplane and Rs. 5 a kilometer by car to a man. If the man travels 226 kms covering A km of the distance by aeroplane and the rest of distance by car, then the cost of the trip is -
A.  1700
B.  2100
C.  6A + 110
D.  16 A + 1130
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3 .
Find the value of x in $x - 1 \over x + 1$ + $x + 1 \over x - 1$ = $18 \over 7$
A.  2
B.  2 , 3
C.  2$\sqrt 3$
D.  2 $\sqrt 2$
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4 .
If x + $1\over x$ = $\sqrt{20}$, then value of $x^3 $ - $1 \over x^3$ is ----
A.  68
B.  76
C.  72
D.  82
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5 .
At a point on the ground, the angle of elevation of the top of a tower is found to be such that tan A = $8\over15$ . On walking 117 meters towards the tower, the angle of elevation is found to be such that tan B = $3\over 4$ . The height of the tower is -
A.  212 metres
B.  226 meters
C.  216 meters
D.  232 meters
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6 .
The value of (5 $tan^ 2$ 60° - $3\over 2$ $sin^ 2$ 30° - $1\over 2$ $cos^ 2$ 45° + $3\over 2$ $cot^ 2$ 45° ) is -
A.  23
B.  42
C.  $127 \over 8$
D.  $8\over 73$
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7 .
If ax+ by= 6 ,bx- ay= 7 and $x^ 2$ + $y^ 2$ = 5, then the value of $a^ 2$ + $b^ 2 $ is -
A.  15
B.  17
C.  16
D.  18
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8 .
An exterior angle of a regular polygon is 90° , then find the number of sides of the polygon
A.  4
B.  5
C.  6
D.  7
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9 .
The length and breadth of a rectangle are 20 m and 15 m respectively. If length is increased by 20% and the breadth by 30%, the percentage increase in its area is -
A.  50%
B.  44%
C.  54%
D.  56%
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10 .
An equilateral triangle is described on the diagonal of a square. What is the ratio of the area of the triangle to that of the square ?
A.  $\sqrt 3$ : 2
B.  2 : $\sqrt 3$
C.  $\sqrt 3$ : 4
D.  4 : $\sqrt 3$
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