Quantitative Aptitude - Area
Exam Duration: 60 Mins Total Questions : 30
If the diagonals of a rhombus are 24 cm and 10 cm, the area and the perimeter of the rhombus are respectively:
- (a)
120 cm2, 52 cm
- (b)
120 cm2, 64 cm
- (c)
240 cm2, 52 cm
- (d)
240 cm2 , 64 cm
Each side of a rhombus is 26 cm and one of its diagonals is 48 cm long. The area of the rhombus is:
- (a)
240 cm2
- (b)
300 cm2
- (c)
360 cm2
- (d)
480 cm2
The length of a rectangle is 18 cm and its breadth is 10 cm. When the length is increased to 25 cm, what will be the breadth of the rectangle if the area remains the same?
- (a)
7 cm
- (b)
7.1 cm
- (c)
7.2 cm
- (d)
7.3 cm
If the circumference and the area of a circle area numerically equal, then the diameter is equal to:
- (a)
\(\frac { \pi }{ 2 } \)
- (b)
\(2\pi \)
- (c)
2
- (d)
4
The front wheels of a wagon are \(2\pi \) feet in circumference and the rear wheels are \(3\pi\) feet in circumference. When the front wheels have made 10 more revolutions than the rear wheels, how many feet has the wagon travelled?
- (a)
30\(\pi \)
- (b)
60\(\pi \)
- (c)
90\(\pi \)
- (d)
150\(\pi \)
What will be the area of a semi-circle whose perimeter is 36 cm ?
- (a)
154 cm2
- (b)
168 cm2
- (c)
Data inadequate
- (d)
None of these
Then circumference of a circle is 100 cm. The side of a square inscribed in the circle is:
- (a)
\(50\sqrt { 2 } \) cm
- (b)
\(\frac { 100 }{ \pi } \) cm
- (c)
\(\frac { 50\sqrt { 2 } }{ \pi } \) cm
- (d)
\(\frac { 100\sqrt { 2 } }{ \pi } \) cm
There are 4 semi-circular gardens on each side of a square-shaped pond with each side 21 m. The cost of fencing the entire plot at the rate of Rs.12.50 per metre is:
- (a)
Rs. 1560
- (b)
Rs. 1650
- (c)
Rs. 3120
- (d)
Rs. 3300
The area of a circle inscribed in an equilateral triangle is 154 cm2. Find the perimeter of the triangle.
- (a)
71.5 cm
- (b)
71.7 cm
- (c)
72.3 cm
- (d)
72.7 cm
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
If the radius of a circle is increased by 75%, then its circumference will increase by:
- (a)
25%
- (b)
50%
- (c)
75%
- (d)
100%
If the radius of a circle is diminished by 10%, then its area is diminished by:
- (a)
10%
- (b)
19%
- (c)
20%
- (d)
36%
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 will be the cost of gardening a strip of land inside around a circular field, at the rate of Rs. 85 per sq. metre ?
I. The area of the field is 1386 sq. metres.
II. Breadth and length of the field are in the ratio of 3:5 respectively.
- (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. The circumference of the circle is 308 m
II. The radius of the circle is 28 m.
- (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 is followed by three statements. You have to study the question and all the three statements given to decide whether any information provided in the statement(s) is/are redundant and can be dispensed with while answering the given question.
What is the cost of painting the two adjacent walls of a hall at Rs. 5 per m2 which has no windows or doors?
I. The area of the hall is 24 sq. m
II. The breadth, length and height of the hall are in the ratio of 4:6:5 respectively.
III. Area of one wall is 30 sq. m.
- (a)
I only
- (b)
II only
- (c)
III only
- (d)
Either I or III
- (e)
All I, II and III are required
A rectangular carpet has an area of 60 sq.m. If its diagonal and longer side together equal 5 times the shorter side, the length of the carpet is:
- (a)
5 m
- (b)
12 m
- (c)
13 m
- (d)
14.5 m
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?
- (a)
\(37\frac { 1 }{ 2 } %\)
- (b)
60%
- (c)
75%
- (d)
120%
2 metres broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is 96 sq.m. The rate of construction is Rs. 50 per square metre. Find the total cost of the construction.
- (a)
Rs. 2400
- (b)
Rs. 4000
- (c)
Data inadequate
- (d)
None of these
A rectangular park 60 m long and 40 m wide has two concrete crossroads running in the middle of the park and rest of the park has been used as a lawn. If the area of the lawn is 2109 sq.m, then what is the width of the road?
- (a)
2.91 m
- (b)
3 m
- (c)
5.82 m
- (d)
None of these
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 ratio of the areas of two squares, one having its diagonal double than the other, is:
- (a)
2 : 1
- (b)
2: 3
- (c)
3 : 1
- (d)
4 : 1
Of the two square fields, the area of one is 1 hectare while the other one is broader by 1%. The difference in their areas is:
- (a)
100 m2
- (b)
101 m2
- (c)
200 m2
- (d)
201 m2
If each side of a square is increased by 50%, the ratio of the area of the resulting square to that of the given square is :
- (a)
4 : 5
- (b)
5 : 4
- (c)
4 : 9
- (d)
9 : 4
What happens to the area of a square when its side is halved? Its area will:
- (a)
remain same
- (b)
become half
- (c)
become-one-fourth
- (d)
become double
If the side of a square is increased by 5 cm, the area increases by 165 sq.cm. The side of the square is:
- (a)
12 cm
- (b)
13 cm
- (c)
14 cm
- (d)
15 cm
One side of a right-angled triangle is twice the other, and the hypotenuse is 10 cm. The area of the triangle is:
- (a)
20 cm2
- (b)
33 \(\frac{1}{3}\)cm2
- (c)
40 cm2
- (d)
50 cm2
What will be the ratio between the area of a rectangle and the area of a triangle with one of the sides of the rectangle as base and a vertex on the opposite side of the rectangle?
- (a)
1 : 2
- (b)
2 : 1
- (c)
3 : 1
- (d)
Data inadequate
- (e)
None of these
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)
\(64\sqrt { 3 } c{ m }^{ 2 }\)
A parallelogram has sides 30 m and 14 m and one of its diagonals is 40 m long. Then, its area is:
- (a)
168 m2
- (b)
336 m2
- (c)
372 m2
- (d)
480 m2
The area of the greatest circle which can be inscribed in a square whose perimeter is 120 cm, is:
- (a)
\(\frac { 22 }{ 7 } \times { \left( \frac { 7 }{ 2 } \right) }^{ 2 }{ cm }^{ 2 }\)
- (b)
\(\frac { 22 }{ 7 } \times { \left( \frac { 9 }{ 2 } \right) }^{ 2 }{ cm }^{ 2 }\)
- (c)
\(\frac { 22 }{ 7 } \times { \left( \frac { 15 }{ 2 } \right) }^{ 2 }{ cm }^{ 2 }\)
- (d)
\(\frac { 22 }{ 7 } \times { \left( 15 \right) }^{ 2 }{ cm }^{ 2 }\)