CALCULATION OF AREA, SURFACE AREA AND VOLUME

Aptitude and Reasoning Course
Volume
Area, Surface area and
8.12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and
2 cm height. The diameter of each sphere is___cm. [C.D.S. 2009]
a)√3 b)2
c)3 d)4
9.A cylinder tub of radius 12 cm contains water upto a depth of 20cm. A spherical iron ball is
dropped into the tub and thus the level of water is raised by 6.75 cm. The radius of the ball
is__cm. [C.D.S. 2010]
a)4.5 b)6
c)7.25 d)9
10.The length of a rectangle is halved, while its breadth is tripled. What is the percentange
change in area [Bank P.O. 2005]
a)25% increase
c)50% decrease
b)50% increase
d)75% decrease
11.The length of rectangle is decreased by r% and breadth is increased by (r+5)%. Find r, if
area of triangle is unaltered. [Bank P.O. 2000]
a)5 b)8
c)10 d)15
12.The length of a rectangle is increased by 60%. By what percent would the width have to
be decreased so as to maintain the same area [C.D.S. 2011]
a)75/2 %
c)75%
b)60%
d)120%
13. The perimeters of five squares are 24 cm, 32 cm 40 cm, 76 cm and 80 cm respectively.
The perimeter of another square equal in area to the sum of the areas of these squares
is___cm.
[S.S.C. 2003]
a)31 b)62
c)124 d)961
14.The number of marble slabe of size 20cm X 30cm required to pave the floor of a square
room of side 3 mt is
[Bank P.O.
2010]
a)100 b)150
c)225 d)250
15. 50 square stone slabs of equal size were needed to cover a floor area of 72 sq.cm. The
length of each stone slabe is___cm.
[C.D.S.
2008]
a)102 b)120
c)201 d)210
SITAMS, Chittoor Page 32