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
The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
- (a)
1520 m2
- (b)
2420 m2
- (c)
2480 m2
- (d)
2520 m2
The area of a field in the shape of a trapezium measures 1440 m2. The perpendicular distance between its parallel sides is 24 m. If the ratio of the parallel sides is 5:3, the length of the longer parallel side is:
- (a)
45 m
- (b)
60 m
- (c)
75 m
- (d)
120 m
A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered.If the area of the field is 680 sq.feet, how many feet of fencing will be required?
- (a)
34
- (b)
48
- (c)
68
- (d)
88
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
A courtyard 25m long and 16 m board is to be paved with bricks of dimensions 20 cm by 10 cm.The total number of bricks required is:
- (a)
18000
- (b)
20000
- (c)
25000
- (d)
None of these
A man runs round a circular field of radius 50 mat the speed of 12 km/hr. What is the time taken by the man to take twenty rounds of the field?
- (a)
30 min
- (b)
32 min
- (c)
34 miin
- (d)
None of these
A cow is tethered in the middle of a field of with a 14 feet long rope.If the cow grazes 100 sq. ft. per day, then approximately what time will be taken by the cow to graze the whole field?
- (a)
2 days
- (b)
6 days
- (c)
24 days
- (d)
None of these
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
A circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in the ratio of 6:5. The smaller side of the rectangle is:
- (a)
25 cm
- (b)
30 cm
- (c)
36 cm
- (d)
60 cm
The wheel of an engine, \(7 {1\over 2}\) metres in circumference makes 7 revolutions in 9 seconds. The speed of the train in km per hour is:
- (a)
130
- (b)
132
- (c)
135
- (d)
150
The area of a circle is 220 sq. cm. The area of a square inscribed in this circle will be:
- (a)
49 cm2
- (b)
70 cm2
- (c)
140 cm2
- (d)
150 cm2
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
If in a triangle, the area is numerically equal to the perimeter, then the radius of the inscribed circle of the triangle is:
- (a)
1
- (b)
1.5
- (c)
2
- (d)
3
ABC is a right-angled triangle at B. If the semi-circle on AB with AB as diameter encloses an area of 81 sq. cm and the semi-circle on BC with BC as diameter encloses an area of 36 sq. cm, then the area of the semi-circle on AC with AC as diameter will be:
- (a)
117 cm2
- (b)
121 cm2
- (c)
217 cm2
- (d)
221 cm2
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
Area of a square is equal to the area of a circle. What is the circumference of the circle?
I. The diagonal of the square is x inches.
II. The side of the sqUare is y inches.
- (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 below consists of a question followed by three statements. You have to study the question and the statements and decide which of the statement(s) is/are necessary to answer the question.
What is the cost of flooring the rectangular hall?
I. Length and breadth of the hall are in the respective ratio of 3:2
II. Length of the hall is 48 m and cost of flooring is Rs. 85 per sq. m.
III. Perimeter of the hall is 160 m and cost of flooring is Rs. 85 per sq. m
- (a)
I and II only
- (b)
II and III only
- (c)
III only
- (d)
I, and either II or III only
- (e)
Any two of the three
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 area of the given rectangle?
I. The perimeter of the rectangle is 60 cm.
II. Breadth of the rectangle is 12 cm.
III. Sum of two adjacent sides is 30 cm.
- (a)
I only
- (b)
II only
- (c)
III only
- (d)
I and II only
- (e)
I or III only
The diagonal of a rectangle is three times its smaller side. The ratio of the length to the breadth of the rectangle is:
- (a)
3 : 1
- (b)
\(\sqrt { 3 } :1\)
- (c)
\(\sqrt { 2 } :1\)
- (d)
\(2\sqrt { 2 } :1\)
The area of a rectangle is thrice that of a square. If the length of the rectangle is 40 cm and its breadth is \(\frac { 3 }{ 2 } \)times that of the side of the square, then the side of the square is:
- (a)
15 cm
- (b)
20 cm
- (c)
30 cm
- (d)
60 cm
If the ratio of areas of two squares is 225:256, then the ratio of their perimeters is:
- (a)
225 : 256
- (b)
256 : 225
- (c)
15 : 16
- (d)
16 : 15
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 three sides of a triangle are 5 cm, 12 cm and 13 cm respectively. Then, its area is:
- (a)
\(10\sqrt { 3 } c{ m }^{ 2 }\)
- (b)
\(10\sqrt { 6 } c{ m }^{ 2 }\)
- (c)
20 cm2
- (d)
30 cm2
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
The height of an equilateral triangle is 10 cm. Its area is:
- (a)
\(\frac{100}{3}\)cm2
- (b)
30 cm2
- (c)
100 cm2
- (d)
\(\frac { 100 }{ \sqrt { 3 } } \)cm2
If the area of a square with side a is equal to the area of a triangle with base a, then the altitude of the triangle is:
- (a)
\(\frac{a}{2}\)
- (b)
a
- (c)
2a
- (d)
4a
If an equilateral triangle of area X and a square of area Y have the same perimeter, then X is:
- (a)
equal to Y
- (b)
greater than Y
- (c)
less than Y
- (d)
less than or equal to Y
The ratio of bases of two triangles is x:y and that of their areas is a:b. Then the ratio of their corresponding altitudes will be:
- (a)
ax : by
- (b)
\(\frac { a }{ x } :\frac { b }{ y } \)
- (c)
ay : bx
- (d)
\(\frac { x }{ a } :\frac { b }{ y } \)
If the side of an equilateral triangle is decreased by 20%, its area is decreased by:
- (a)
36%
- (b)
40%
- (c)
60%
- (d)
64%
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