1. If the radius of a cylinder
is doubled and so is the height, how much bigger is the new lateral surface
area (without the bases)?
(1)
8
(2) 2
(3)
6
(3)
4
(5) None of
These
2. If the radii of two spheres
are in the ratio 2 : 3, what should be the ratio of their volumes?
(1)8 :
27
(2)4 : 9
(3)9 :
4
(4) 27 : 8
(5)None of
These
3. Chandler is building a fence in the
following method: He grounds 10 poles, each 10 cm thick, in 1 metre spaces from
each other. He then connects the poles with a barbed wire. What is the total
length of the fence?
(1)11
(2)12
(3)
9.9
(4)10
(5) None of
These
4. If the radius of a cylinder
is doubled and so is the height, what is the new volume of the cylinder divided
by the old one?
(1)
8
(2)2
(3)
6
(4)
4
(5)None of
These
5. The volume of a solid cylinder is
exactly equal to the total volume of three smaller cylinders each with radius 3
cm and height 7 cm. what is the height of the of the larger cylinder if its
radius is same as that of the smaller one?
(1) 7
cm
(2)10
cm
(3) 15
cm
(4)21 cm
(5)None of
These
6. A cone of radius 14
cms and height 15 cm is cut in a plane parallel to its base. If the area of the
circle at the intersection is 154 sqm then what is the height from the base at
which the cone is cut?
(1)10
cm
(2)5 cm
(3)15
cm
(4)7.5 cm
(5)None of
These
7. Three identical cones
with base radius r are placed on their bases so that each is touching the other
two. The radius of the circle drawn through their vertices is:
(1) Smaller
than r
(2)equal to r
(3) larger
than r
(4)depends
on the height of the
cones
(5) None of
These
8. The diameter of hollow
cone is equal to the diameter of a spherical ball. If the ball is placed at the
base of the cone, what portion of the ball will be outside of the cone?
(1)50%
(2) less than 50%
(3) more
than 50%
(4)100%
(5)None of
These
9. A slab of ice 8 inches
in length, 11 inches in breadth and 2 inches thick was melted and resolidified
into the form of a rod of 8 inches diameter. The length of such a rod, in
inches, is nearest to:
(1) 3
(2)3.5
(3)
4
(4)4.5
(5) None of
These
10.A right circular cone of height h is cut
by a plane parallel to the base at a distance h/3 from the base then the
volumes of the resulting cone and the frustum are in the ratio:
(1)1 :
3
(2)8 : 19
(3) 1 :
4
(4)1 : 7
(5)None of
These
Answers
Qns.

Ans.

Qns.

Ans.

1

4

6

4

2

1

7

3

3

4

8

3

4

1

9

2

5

4

10

2

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