Mathematical Ability - Area
Exam Duration: 45 Mins Total Questions : 25
The area of rhombus is 240 cm2 and one of the diagonal is 16 cm. The other diagonal is
- (a)
35
- (b)
30
- (c)
25
- (d)
40
The ratio of the areas of the incircle and circumcircle of a square.
- (a)
1: 2
- (b)
1: 3
- (c)
1: 4
- (d)
1: 6
The percentage increase in the area of a triangle if its each side is doubled.
- (a)
299%
- (b)
301%
- (c)
300%
- (d)
302%
Find the area of a rectangular plot one side of which is 48 m and its diagonal is 50 m.
- (a)
671 m2
- (b)
670 m2
- (c)
673 m2
- (d)
672 m2
The length of a rectangle is increased by 10% and its breadth is decreased by 10%. Then, the area of the new rectangle is:
- (a)
neither increased nor decreased
- (b)
increased by 1%
- (c)
decreased by 1%
- (d)
decreased by 10%
The area of a rectangle is 12 sq. metres and its length is 3 times that of its breadth. What is the perimeter of the rectangle?
- (a)
14m
- (b)
18m
- (c)
24 m
- (d)
None of these
The sides of a quadrilateral, taken in order are 5,12, 14 and 15 metres respectively, and the angle contained by the first two sides is a right angle. Find its area.
- (a)
114 m2
- (b)
113 m2
- (c)
110 m2
- (d)
115 m2
The area of square ABCD is 16 cm2. Find the area of the square joining the mid-points of the sides.
- (a)
30 cm2
- (b)
28 cm2
- (c)
33 cm2
- (d)
32 cm2
If the length and width of a rectangular garden are each increased by 20%, then what would be the percent increase in the area of the garden?
- (a)
20%
- (b)
24%
- (c)
36%
- (d)
44%
If each of a square is increased by 50% the ratio of the area of the resulting square to the area of the given square is:
- (a)
5: 4
- (b)
9: 4
- (c)
4: 5
- (d)
4: 9
The base and the corresponding altitude of a parallelogram are 10 cm and 12 cm respectively. If the other altitude is 8 cm, find the length of the other pair of parallel sides.
- (a)
15 cm
- (b)
17 cm
- (c)
16 cm
- (d)
18 cm
A typist uses a paper 30 cm x 15 ern. He leaves a margin of 2.5 cm at the top and the bottom and 1.25 cm on either side. What percentage of paper area is approximately available for typing?
- (a)
65%
- (b)
70%
- (c)
80%
- (d)
60%
A circle is inscribed in a square. An equilateral triangle of side 4\(\sqrt{3}\) is inscribed in that circle. The length of the diagonal of the square is:
- (a)
4\(\sqrt{3}\) cm
- (b)
8 cm
- (c)
8\(\sqrt{2}\) cm
- (d)
16 cm
An isosceles triangle had perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.
- (a)
\(9\sqrt{14}\) cm2
- (b)
\(9\sqrt{15}\) cm2
- (c)
\(9\sqrt{16}\) cm2
- (d)
\(9\sqrt{20}\) cm2
The sides of triangle are in the ratio 25: 17: 12 and its perimeter is 540 m. Find the area of the triangle.
- (a)
9000 m2
- (b)
900 m2
- (c)
90 m2
- (d)
8000 m2
The minute hand of a clock is 10 cm long. Find the area swept by the minute hand between 9:00 am and 9:35 am
- (a)
182.33 cm2
- (b)
183.33 cm2
- (c)
18333 cm2
- (d)
183 cm2
Find the area of a ring shaped region enclosed between two-concentric circles of radii 20 cm and 15 cm.
- (a)
5500 cm2
- (b)
55 cm2
- (c)
50 cm2
- (d)
550 cm2
In a circle of radius 21 cm, an arc subtends an angle of 60 at the centre. Find the length of the arc.
- (a)
22
- (b)
20
- (c)
19
- (d)
23
The difference between the radii of the smaller circle and the bigger circle is 7 cm and the difference between the areas of the two circles is 1078 cm2. Radius of the smaller circle is
- (a)
17.5 cm
- (b)
21 cm
- (c)
28 cm
- (d)
None of these
A circular grassy plot of land, 42 m in diameter, has a path 3.5 m wide running round it on the outside. Find the cost of gravelling the path at Rs.4 per square metre.
- (a)
Rs.2003
- (b)
Rs.2004
- (c)
Rs.2002
- (d)
Rs.2005
How long will Mukesh take to make a round of a circular field of radius 21 m cycling at the speed of 8 km/hr?
- (a)
59.5 second
- (b)
59 second
- (c)
59.4 second
- (d)
58.2 second
Find the area of shaded region. OE = 20 and OEFG is a square.
- (a)
227 cm2
- (b)
228 cm2
- (c)
226 cm2
- (d)
230 cm2
In Fig. 12.3, PQRS is a square of side 4 cm. Find the shaded area.
- (a)
10.45 cm2
- (b)
28.56 cm2
- (c)
30.80 cm2
- (d)
9.72 cm2
The area of an equilateral triangle is 49\(\sqrt{3}\) cm2. Taking each angular point as center, a circle is described with radius equal to half the length of the side of the triangle as shown in Fig. Find the area of the triangle not included in the circle.
- (a)
7.71 cm2
- (b)
7.77 cm2
- (c)
7.70 cm2
- (d)
7.69 cm2
Find the area of the shaded region in Fig. where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as center.
- (a)
\((\frac{660}{7}+36\sqrt{3})cm^2\)
- (b)
\((\frac{600}{7}+36\sqrt{3})cm^2\)
- (c)
\((\frac{600}{7}+\sqrt{3})cm^2\)
- (d)
\((\frac{660}{7}+\sqrt{36})cm^2\)