Area
Exam Duration: 45 Mins Total Questions : 30
The ratio between the perimeter and the breadth of a rectangle is 5:1. If the area of the rectangle is 216 sq.cm, what is the length of the rectangle?
- (a)
16 cm
- (b)
18 cm
- (c)
24 cm
- (d)
Data inadequate
- (e)
None of these
Between a square of perimeter 44 cm and a circle of circumference 44 cm, which figure has larger area and by how much?
- (a)
Both have equal area
- (b)
Square,33 cm2
- (c)
Circle, 33 cm2
- (d)
Square, 495 cm2
If the ratio of areas of two circles is 4:9, then the ratio of their circumferences will be:
- (a)
2 : 3
- (b)
3 : 2
- (c)
4 : 9
- (d)
9 : 4
The perimeter of a circle is equal to the perimeter of a square, Then their areas are in the ratio:
- (a)
4 :1
- (b)
11 : 7
- (c)
14 : 11
- (d)
22 : 7
A toothed wheel of diameter 50 cm is attached to a smaller wheel of diameter 30 cm. How many revolutions will the smaller wheel make when the larger one makes 15 revolutions?
- (a)
18
- (b)
20
- (c)
25
- (d)
30
A semi-circular shaped window has diameter of 63 cm. Its perimeter equals:
- (a)
126 cm
- (b)
162 cm
- (c)
198 cm
- (d)
251 cm
In a circle of radius 7 cm, -an arc subtends an angle of 108o at the centre.The area of the sector is:
- (a)
43.2 cm2
- (b)
44.2 cm2
- (c)
45.2 cm2
- (d)
46.2 cm2
The sides of a triangle are 6 cm, 11 cm and 15 cm. The radius of its incircle is:
- (a)
\(3\sqrt { 2 } \) cm
- (b)
\(\frac { 4\sqrt { 2 } }{ 5 } \) cm
- (c)
\(\frac { 5\sqrt { 2 } }{ 5 } \)cm
- (d)
\(6\sqrt { 2 } \) cm
The perimeter of a triangle is 30 cm and the circumference of its incircle is 88 cm. The area of the triangle is:
- (a)
70 cm2
- (b)
140 cm2
- (c)
210 cm2
- (d)
420 cm2
An equilateral triangle, a square and a circle have equal perimeters. If T denotes the area of the triangle, S, the area of the square and C, the area of the circle, then:
- (a)
S < T < C
- (b)
T < C < S
- (c)
T < S < C
- (d)
C < S < T
If the radius of a circle is increased by 75%, then its circumference will increase by:
- (a)
25%
- (b)
50%
- (c)
75%
- (d)
100%
The question is given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and
The area of a playground is 1600 m2. What is its perimeter?
I.It is a perfect square playground.
II.It costs Rs 3200 to put a fence around at the rate of Rs. 20 per metre.
- (a)
if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question;
- (b)
if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question;
- (c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question;
- (d)
if the data even in both Statements I and II together are not sufficient to answer the question;
- (e)
if the data in both Statements I and II together are necessary to answer the question:
The question given below consists of a statement and /or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is/are sufficient to answer the question. Read both the statements and
What is the area of the circle?
I. An arc of length 4 cm subtends an angle of 60o at the centre.
II. A chord of length 5 cm subtends an angle of 90o at the centre.
- (a)
if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question;
- (b)
if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question;
- (c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question;
- (d)
if the data even in both Statements I and II together are not sufficient to answer the question;
- (e)
if the data in both Statements I and II together are necessary to answer the question;
The length of a blackboard is 8 cm more than its breadth. If the length is increased by 7 cm and breadth is decreased by 4 cm, the area remains the same. The length and breadth of the blackboard (in cm) will be:
- (a)
28 ,20
- (b)
34, 26
- (c)
40, 32
- (d)
56, 48
A rectangular lawn 55 m by 35 m has two roads each 4 m wide running in the middle of it, one parallel to length and the other parallel to breadth. The cost of gravelling the roads at 75 paise per sq. metre is:
- (a)
Rs. 254.50
- (b)
Rs. 258
- (c)
Rs. 262.50
- (d)
Rs. 270
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 :
- (a)
31 cm
- (b)
62 cm
- (c)
124 cm
- (d)
961 cm
The length and breadth of the floor of the room are 20 feet and 10 feet respectively. Square tiles of 2 feet length of different colours are to be laid on the floor. Black tiles are laid in the first row on all sides. If white tiles are laid in the one-third of the remaining and blue tiles in the rest, how many tiles will be there?
- (a)
16
- (b)
24
- (c)
48
- (d)
None of these
The perimeter of a square is 48 cm. The area of a rectangle is 4 cm2 less than the area of the square. If the length of the rectangle is 14 cm, then its perimeter is:
- (a)
24 cm
- (b)
48 cm
- (c)
50 cm
- (d)
54 cm
If the perimeter of a rectangle and a square, each is equal to 80 cm and the difference of their areas is 100 sq.cm, the sides of the rectangle are:
- (a)
25 cm, 15 cm
- (b)
28 cm, 12 cm
- (c)
30 cm, 10 cm
- (d)
35 cm, 15 cm
The cost of fencing a square field @ Rs. 20 per metre is Rs. 10,080. How much will it cost to lay a three-metre wide pavement along the fencing inside the field @ Rs. 50 per sq.metre?
- (a)
Rs. 37,350
- (b)
Rs. 73,800
- (c)
Rs. 77,400
- (d)
None of these
The area of a square field is 69696 cm2. Its diagonal will be equal to:
- (a)
313.296 m
- (b)
353.296 m
- (c)
373.296 m
- (d)
393.296 m
The length of a rectangle is 20% more than its breadth. What will be the ratio of the area of a rectangle to that of a square whose side is equal to the breadth of the rectangle?
- (a)
2 : 1
- (b)
5 : 6
- (c)
6 : 5
- (d)
Data inadequate
- (e)
None of these
The diagonal of a square is \(4\sqrt { 2 } cm\). The diagonal of another square whose area is double that of the first square, is:
- (a)
8 cm
- (b)
\(8\sqrt { 2 } cm\)
- (c)
\(4\sqrt { 2 } cm\)
- (d)
16 cm
If the area of a square increases by 69%, then the side of the square increases by:
- (a)
13%
- (b)
30%
- (c)
39%
- (d)
69%
The cost of papering the four walls of a room is Rs. 475. Each one of the length, breadth and height of another room is double that of this room. The cost of papering the walls of this new room is:
- (a)
Rs. 712.50
- (b)
Rs. 950
- (c)
Rs. 1425
- (d)
Rs. 1900
The area of a right-angled triangle is 4Q times its base. What is its height?
- (a)
45 cm
- (b)
60 cm
- (c)
80 cm
- (d)
Data inadequate
- (e)
None of these
The sides of a triangle are in the ratio of \(\frac{1}{2}\): \(\frac{1}{3}\) :\(\frac{1}{4}\). If the perimeter is 52 cm, then the length of the smallest side is:
- (a)
9 cm
- (b)
10 cm
- (c)
11 cm
- (d)
12 cm
If the perimeter of an isosceles right triangle is \((6+3\sqrt { 2 } )m\), then the area of the triangle is:
- (a)
4.5 m2
- (b)
5.4 m2
- (c)
9 m2
- (d)
81 m2
A square and an equilateral triangle have equal perimeters. If the diagonal of the square is \(12\sqrt { 2 } cm\), then the area of the triangle is:
- (a)
\(24\sqrt { 2 } c{ m }^{ 2 }\)
- (b)
\(24\sqrt { 3 } c{ m }^{ 2 }\)
- (c)
\(48\sqrt { 3 } c{ m }^{ 2 }\)
- (d)
\(64\sqrt { 3 } c{ m }^{ 2 }\)
The area of a rhombus is 150 cm2. The length of one of its diagonals is 10 cm. The length of the other diagonal is:
- (a)
25 cm
- (b)
30 cm
- (c)
35 cm
- (d)
40 cm