1. The radius of a sphere(in cm) whose volume is 12π cm3
(A) 3
(B) 3√3
(C) 3
2
3
(D) 3
1
3
2. The sum of length, breadth and height of a cuboid is 6√3 cm and the length of its diagonal is
2√3. The total surface area of the cuboid is :
(A) 48cm2
(B) 72 cm2
(C)96 cm2
(D)108 cm2
3. A medicine capsule is in the shape of a cylinder of diameter 0.5cm with two hemispheres struck to
its ends. The length of the entire capsule is 2cm .The capacity of the capsule is
(A) 0.36cm3
(B) 0.35 cm3
(C)0.34 cm3
(D)0.33 cm3
4. If two solid hemispheres of same base radius ‘r’ are joined along their bases, then curved surface
area of this new solid is
(A) 4πr
2
(B) 6πr
2
(C) 3πr
2
(D) 8πr
2
5. The area of a quadrant of a circle where the circumference of circle is 176m is
(A) 2464m2
(B) 1232m2
(C)616m2
(D)108 cm2
6. The minute hand of a clock is 84cm long .the distance covered by the tip of minute hand from
10:10am to 10:25am is
(A) 44cm
(B) 88cm
(C)132cm
(D)176cm
7. If the perimeter of a circle is half to that of a square, then the ratio of the area of the circle to the
area of the square is
(A) 22:7
(B) 11:7
(C)7:11
(D)7:22
8. The area of the circle that can be inscribed in a square of 6cm is
(A) 36πcm2
(B) 18πcm2
(C)12π cm2
(D)9π cm2
9. If the perimeter of the circle is equal to that of a square m then the ratio of their areas is
(A) 22:7
(B)14:11
(C)7:22
(D)11:14
10.If the sum of the area of two circles with radii R1 and R2 is equal to the area of a circle of radius
R, then:
(A) R1+ R2 =R (B) R1
2+ R2
2 =R2
(C) R1+ R2 <R
(D) R1
2
- R2
2 =R2
11.The angle of depression of a car parked on the road from the top of 150m high tower is 300
. The
distance of the car from the tower (in metres) is
(A) 50√3m
(B) 150√3m
(C)150√2m
(D)75m
12.If height of a vertical pole is √3 times the length of its shadow on the ground, then the angle of
elevation of the sun at that time is
(A) 300
(B) 600
(C) 450
(D) 750
13.If the length of the ladder placed against a wall is twice the distance between the foot of the ladder
and the wall. The angle made by the ladder with the horizontal is
(A) 600
(B) 300
(C) 450
(D) 22.50
14.From a point p which is at distance of 13cm from the center O of a circle of a circle of radius 5cm
the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR
is
(A) 60cm2
(B) 65cm2
(C)30cm2
(D)32.5cm2
15.At one end A of diameter AB of a circle of radius 5cm, tangent XAY is drawn to the circle. The
length of the chord CD parallel to XY and at a distance 8cm from A is
(A) 4cm
(B) 5cm
(C)6cm
(D)8cm