# Quantitative Quiz 40 - Competitive Exams - IBPS/SSC/BANKING EXAMS

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