1. A solid cone of height 9 cm with diameter of its base 18 cm is cut out from a wooden solid sphere of radius 9 cm. The percentage of wood wasted is:
(1) 25
(2) 30
(3) 50
(4) 75
2. In a cylindrical vessel of diameter 24 cm filled up with sufficient quantity of water, a solid spherical ball of radius 6 cm is completely immersed. Then the increase in height of water level is:
(1) 1.5 cm
(2) 2 cm
(3) 3 cm
(4) 4.2 cm
3. Two equal circles of radius 4 cm intersect each other such that each passes through the centre of the other. The length of the common chord is:
(1) 2√3
(2) 4√3 cm
(3) 2√2 cm
(4) 8 cm
4. One chord of a circle is known to be 10.1 cm. The radius of this circle must be:
(1) 5 cm
(2) greater than 5 cm
(3) greater than or equal to 5 cm
(4) less than 5 cm
5. The angles of elevation of the top of a tower from two points A and B lying on the horizontal through the foot of the tower are respectively 15° and 30°. If A and B are on the same side of the tower and AB = 48 metre, then the height of the tower is:
(1) 24√3 metre
(2) 24 metre
(3) 24√2 metre
(4) 96 metre
6. In ∆ABC,∠ B = 90° and AB= 1/2 BC. Then the measure of ∠ACB is:
(1) 60°
(2) 30°
(3) 45°
(4) 15°
7. ABCD is a cyclic parallelogram. The angle ∠B is equal to:
(1) 30°
(2) 60°
(3) 45°
(4) 90°
8. The length of the chord of a circle is 8 cm and perpendicular distance between centre and the chord is 3 cm. Then the radius of the circle is equal to:
(1) 4 cm
(2) 5 cm
(3) 6 cm
(4) 8 cm
9. Each interior angle of a regular polygon is three times its exterior angle, then the number of sides of the regular polygon is:
(1) 9
(2) 8
(3) 10
(4) 7
10. A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and total height of the toy is 10.2 cm, find the volume of the wooden toy (nearly).
(1) 104 cm^3
(2) 162 cm^3
(3) 427 cm^3
(4) 266 cm^3
Note : Answers will be updated soon.............
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