TNPSC Quantitative Aptitude - Area
Exam Duration: 45 Mins Total Questions : 30
If s square and a rhombus stand on the same base, then the ratio of the areas of the square and the rhombus is:
- (a)
greater than 1
- (b)
equal to 1
- (c)
equal to \(\frac { 1 }{ 2 } \)
- (d)
equal to \(\frac { 1 }{ 4 } \)
The cross-section of a canal is trapezium in shape. The canal is 12 m wide at the top and 8 m wide at the bottom. If the area of the cross-section is 840 sq. m, the depth of the canal is:
- (a)
8.75 m
- (b)
42 m
- (c)
63 m
- (d)
84 m
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
A circle and a rectangle have the same perimeter. The sides of the rectangle are 18 cm and 26 cm. What is the are of the circle?
- (a)
88 cm2
- (b)
154 cm2
- (c)
Cannot be determined
- (d)
None of these
The circumference of a circle, whose area is 24.64 m2, is:
- (a)
14.64 m
- (b)
16.36 m
- (c)
17.60 m
- (d)
18.40 m
The ratio of the outer and the inner perimeters of a circular path is 23:22. If the path is 5 meters wide, the diameter of the inner circle is:
- (a)
55 m
- (b)
110 m
- (c)
220 m
- (d)
230 m
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
The area of a sector of a circle of radius 5 cm, formed by an arc of length 3.5 cm, is:
- (a)
7.5 cm2
- (b)
7.75cm2
- (c)
8.5 cm2
- (d)
8.75 cm2
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
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
Three circles of radius are placed in such a way that each piece touches two other pieces. The area of the space enclosed by the four pieces is:
- (a)
1.967 cm2
- (b)
1.975 cm2
- (c)
19.67 cm2
- (d)
21.21 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
What is the area of the rectangle?
I. The ratio of the length and the breadth is 3:2
II. The area of the rectangle is 3.6 times its perimeter.
- (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 height of the triangle?
I. The area of the triangle is 20 times its base.
II. The perimeter of the triangle is equal to the perimeter of a square of side 10 cm.
- (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 rectangle is three times of its width. If the length of the diagonal is \(8\sqrt { 10 } \) cm, then the perimeter of the rectangle is:
- (a)
15 \(\sqrt { 10 } \) cm
- (b)
16\(\sqrt { 10 } \) cm
- (c)
24 \(\sqrt { 10 } \) cm
- (d)
64 cm
The diagonal of a rectangle is and\(\sqrt { 41 } cm\) its area is 20 sq.cm. The perimeter of the rectangle must be:
- (a)
9 cm
- (b)
18 cm
- (c)
20 cm
- (d)
41 cm
A took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m/min and B took the same time to cross the same field along its sides walking at the rate of 68 m/min. The area of the field is:
- (a)
30 m2
- (b)
40 m2
- (c)
50 m2
- (d)
60 m2
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 typist uses a sheet measuring 20 cm by 30 cm lengthwise. If a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then percent of the page used for typing is:
- (a)
40
- (b)
60
- (c)
64
- (d)
72
The cost of cultivating a square field at the rate of Rs. 135 per hectare is Rs. 1215. The cost of putting a fence around it at the rate of 75 paise per metre would be:
- (a)
Rs. 360
- (b)
Rs. 810
- (c)
Rs. 900
- (d)
Rs. 1800
The number of marble slabs of size 20 cm X 30 cm required to pave the floor of a square room of side 3 metres, is:
- (a)
100
- (b)
150
- (c)
225
- (d)
250
50 square stone slabs of equal size were needed to cover a floor area of 72 sq.m. The length of each stone slab is:
- (a)
102 cm
- (b)
120 cm
- (c)
201 cm
- (d)
210 cm
What is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2m broad?
- (a)
814
- (b)
820
- (c)
840
- (d)
844
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
If the length of the diagonal of a square is 20 cm, then its perimeter must be:
- (a)
\(10\sqrt { 2 } cm\)
- (b)
40 cm
- (c)
\(40\sqrt { 2 } cm\)
- (d)
200 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
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
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 triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m, then the altitude of the triangle is:
- (a)
\(10\sqrt { 2 } m\)
- (b)
100 m
- (c)
\(100\sqrt { 2 } m\)
- (d)
200 m
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)
\(\frac { 22 }{ 7 } \times { \left( 15 \right) }^{ 2 }{ cm }^{ 2 }\)