1 .
If (x + 3264 $\times$ 3266) be a square number, then the value of x is -
0
1
2
3265

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 -
1700
2100
6A + 110
16 A + 1130

3 .
Find the value of x in $x - 1 \over x + 1$ + $x + 1 \over x - 1$ = $18 \over 7$
± 2
± 2 , 3
± 2$\sqrt 3$
± 2 $\sqrt 2$

4 .
If x + $1\over x$ = $\sqrt{20}$, then value of $x^3$ - $1 \over x^3$ is ----
68
76
72
82

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 -
212 metres
226 meters
216 meters
232 meters

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 -
23
42
$127 \over 8$
$8\over 73$

7 .
If ax+ by= 6 ,bx- ay= 7 and $x^ 2$ + $y^ 2$ = 5, then the value of $a^ 2$ + $b^ 2$ is -
15
17
16
18

8 .
An exterior angle of a regular polygon is 90° , then find the number of sides of the polygon
4
5
6
7

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 -
50%
44%
54%
56%

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 ?
$\sqrt 3$ : 2
2 : $\sqrt 3$
$\sqrt 3$ : 4
4 : $\sqrt 3$