N Area | Quantitative Aptitude Questions for IBPS PO/Clerk - gkology.com

Area

Only available for you

171 PQRS is a square of sides 2 cm & ST = 2 cm. Also, PT=RT. What is the area of ∆PST?
Geometry - Mensuration: Geometry Triangles Area

A
2 cm2
B
√3 cm2
C
√2 cm2
D
1/√2 cm2

172 PQRST is a pentagon in which all the interior angles are unequal. A circle of radius ‘r’ is inscribed in each of the vertices. Find the area of portion of circles falling inside the pentagon:

A
πr2
B
1.5πr2
C
2πr2
D
1.25πr2

173 There is an equilateral triangle with a square inscribed inside it. One of the sides of the square lies on a side of the equilateral △. What is the ratio of the area of the square to that of the equilateral triangle?

A
12 : 12 + 7√3
B
24 : 24 + 7√3
C
18 : 12 + 15√3
D
6 : 6 + 5√3

174 Consider a right–angled triangle with inradius 2 cm and circumradius of 7 cm. What is the area of the triangle?

A
32 sq cms
B
31.5 sq cms
C
32.5 sq cms
D
33 sq cms

175 Three circles with radius 2 cm touch each other as shown :
Find the area of the circle, circumscribing the above figure:

A
3π(4+√3)2
B
π/2(4+2√3)2
C
π/4(4+2√3)22
D
12π−π/2(4+2√3)2

176 A room has floor size of 15×6sq.cm. What is the height of the room , if the sum of the areas of the base and roof is equal to the sum of the areas of the four walls ?

A
1.12cm
B
3.24cm
C
4.29cm
D
2.5cm

177 A circle is inscribed in an equilateral triangle of side 24 cm, touching it's sides. What is the area of
the remaining portion of the triangle?

A
144√3 - 48π cm2
B
121√3 - 36π cm2
C
144√3 - 36π cm2
D
121√3 - 48π cm2

178 There are 5 concentric circles that are spaced equally from each other by 1.25 cms. The innermost circle has a square of side √(32) cm inscribed in it. If a square needs to be inscribed in the outermost circle, what will be it's area?

A
324 sq. cm.
B
(66 + 40√2) sq. cm
C
210.125 sq. cm.
D
162 sq.cm.

179 In a parallelogram ABCD of area 72 sq cm, the sides CD and AD have lengths 9 cm and 16 cm, respectively. Let P be a point on CD such that AP is perpendicular to CD. Then the area, in sq cm, of triangle APD is

A
18√3
B
24√3
C
32√3
D
12√3

180 The area of a rectangle and the square of it's perimeter are in the ratio 1 : 25. Then the lengths of the shorter and longer sides of the rectangle are in the ratio

A
3 : 8
B
2 : 9
C
1 : 4
D
1 : 3