Area- Aptitude Questions and Answers

View in English View in Hindi

A house site is in the shape of a square. Its area is 1225 sq metres. What is its perimeter?

A)

140 m


B)

160 m


C)

180 m


D)

200 m



Correct Answer :

140 m


Explanation :

Area of a square = 1225 m²
(side)² = 1225
side = √1225 = 35 m

Now, perimeter of a square = 4*side = 4*35
=140 m

Post comment
Cancel
Thanks for your comment.!
Write a comment(Click here) ...
View in English View in Hindi

There is a path made around a circular park. If the difference of external and internal perimeters is 132 meter, then the width of the path is:

A)
22 m

B)
20 m

C)
21 m

D)
24 m


Correct Answer :

21 m


Explanation :

Let the inner and outer radii be r and R meters.
then width of the path => 2(pi)R-2(pi)r = 132m
there pi =22/7
So R-r= 132*7/2*22 =21m

therefore width of the path is R-r=21m

The base of right-angled triangle is 5 meters and hypotenuse is 13 meters . Its area will be ?

A)
25 m2

B)
28 m2

C)
30 m2

D)
24 m2


Correct Answer :

30 m2


Explanation :

Hypotenuse = √(base2+height2)
height2 = Hypotenuse2 - base2
height = √(132 - 52)
⇒ √144 ⇒ 12

Area of the triangle = 1/2(base*height)
=1/2(5 * 12 ) m2
= 30m2

If the side of a square is increased by 25%, then how much percent does its area get increased ?

A)

125


B)

156.25


C)

50


D)

56.25



Correct Answer :

56.25


Explanation :

Let side of square is 100 m2 Then, side = 10 m
And, Area = length of a side2 (10)2 m2

increased side by 25 Then, new side = 125 % of 10 ⇒ (125/100) x 10 ⇒ 12.5 m
And,new area = length of a side2 ⇒ (12.5)2 sq. m

Increase in area = (12.5)2 - (10)2 m2
= 156.25 - 100 m2
= 56.25 m2
% Increase = 56.25

if the side of a square be increased by 4 cms. The area increased by 60 sq. cms . The side of the square is ?

A)

12 cm


B)

13 cm


C)

14 cm


D)

5.5 cm



Correct Answer :

5.5 cm


Explanation :

Let each side = x cm
Then, (x + 4 )2 - x2 = 60
⇒ x 2 + 8x + 16 - x2 = 60
⇒ x = 5.5 cm

If the diameters of a circle is increased by 100% . Its area is increased by ?

A)

100%


B)

200%


C)

300%


D)

400%



Correct Answer :

300%


Explanation :

Area of circle = πd2/4

diameters increased by 100%, then new area = π(2d)2 /4 => πd2
Then, New area = (πd2 - πd2/4) => 3πd2/4

increase percent =[(3πd2/4) / ( πd2/4) ]*100 %
= [(3πd2/4) x (4/πd2)]*100 %
= 300%

Find the area of a triangle whose sides measure 8 cm, 10 cm and 12 cm?

A)

8√63 sq cm


B)

5√63 sq cm


C)

6√53 sq cm


D)

7√93 sq cm



Correct Answer :

5√63 sq cm


Explanation :

Area of triangle = √[s(s-a)(s-b)(s-c)] there s = (a+b+c)/2

let, a = 8 cm, b = 10 cm and c = 12 cm
then,s = (a + b + c)/2
= (8 + 10 + 12)/2
= 15 cm

so,Area of triangle = √s(s - a) (s - b) (s - c)
= √[15 * (15 - 8) * (15 - 10) * (15 - 12)]
= √1575
= √[25 x 63]
= 5√63 cm

One side of a parallelogram is 8.06 cm and its perpendicular distance from opposite side is 2.08 cm. What is the approximate area of the parallelogram?

A)

12.56 cm2


B)

14.56 cm2


C)

16.76 cm2


D)

22.56 cm2



Correct Answer :

16.76 cm2


Explanation :

Area of parallelogram = base x height
= 8.06 x 2.08 = 16.76 cm2

Find the area of a rectangle having 15m length and 8m breadth?

A)

120 sq m


B)

111 sq m


C)

115 sq m


D)

125 sq m



Correct Answer :

120 sq m


Explanation :

Area of Rectangle= Length x Breadth
= 15 x 8 = 120 sq m

The length of the side of a square is represented by x+2. The length of the side of an equilateral triangle is 2x. If the square and the equilateral triangle have equal perimeter, then the value of x is _______?

A)

4


B)

5


C)

6


D)

8



Correct Answer :

4


Explanation :

Since the side of the square is x + 2, its perimeter = 4 (x + 2) = 4x + 8
Since the side of the equilateral triangle is 2x, its perimeter = 3 * 2x = 6x
Also, the perimeters of both are equal.
4x + 8 = 6x
2x = 8
x = 4

The perimeters of two squares are 160cm and 164cm. Find the perimeter of a third square whose area is equal to the difference of the areas of the two squares(in cm).

A)
81

B)
60

C)
36

D)
9


Correct Answer :

36


Explanation :

Perimeter of Square = 4 * length of a side
Area of Square= length of a side2

The perimeters of two squares are 160cm and 164cm ,
So the side of first square = 160/4 = 40 cm
side of second square = 164/4 = 41 cm

Area of third squre = 412 - 402 = 81 sq cm
Then, side of third square = √81 = 9 cm

required perimeter = 4*9 = 36 cm

The sides of a triangle are in the ratio 3:4:5. The perimeter of the triangle is 24cm. The area (in cm2) of the triangle is:

A)
39

B)
26

C)
24

D)
32


Correct Answer :

24


Explanation :

Perimeter = (a+b+c) ,there a,b,c are the sides of a triangle
Area = 1/2(base*height) = √[s(s-a)(s-b)(s-c)] there s = (a+b+c)/2

let's the sides of triangle are 3 cm, 4 cm, and 5 cm in length , then
Perimeter = 3 cm + 4 cm + 5 cm =12 cm

So Area = √[s(s-a)(s-b)(s-c)] there s = (a+b+c)/2 = 12/2 =6
Area = √[6(6-3)(6-4)(6-5)] =√[6*3*2*1] =6

hence Area may be 6 or multiple of 6 that is 6, 12 , 24 ...because sides are given in ratio

In a rhombus of side 10 cm, one of diagonals is 16 cm long. The length of In a rhombus of side 10 cm, one of diagonals is 16 cm long. The length of the second diagonal is ?

A)
16 cm

B)
12 cm

C)
18 cm

D)
20 cm


Correct Answer :

12 cm


Explanation :

The diagonals meet in the middle at a right angle.
All sides of rhombus are equal i.e. 10cm
(Side)2=(half of one diagonal)2+(half of second diagonal)2
by using this formula
(10)2=(8)2+(half of second diagonal)2
(half of second diagonal)2 = 36
half of second diagonal=6
second diagonal=12cm

Latest Updates

General Knowledge of India

In 1897, the Birsa Movement supporters raised which colour flag as a symbol of Birsa Raj?

Ratio and Proportion

The cost of 10 books is Rs. 80/-. Find the value of 15 books?

The cost of 48 bags of paddy is Rs. 16,800/-. What is the cost of 36 bags of paddy?

Monthly expenditure of a family of 4 members is Rs 2800/-. What is the expenditure if there are 3 members in the family?

Annual incomes of the families of Sita and Latha are in the ratio 4:3 and their annual expenditure are in the ratio 3:2. What is their annual income if they save Rs. 3000/- in a year?

A certain sum of money is divided between A and B in the ratio of 5/4 : 5/3 and A got Rs. 360/-. Find the total sum of money and B’s share?

In an office, the ratio of the salaries of an officer and a clerk is 15:7. If the salary of a clerk is Rs. 720/- less than the salary of the officer, find the salary of each?

In an election to a municipal council, the votes secured by two candidates are in the ratio 13:19. The elected candidates gets 312 votes more than the second candidate. How many votes are secured by the second candidate?

A certain sum of money is divided between Murthy and Prasad in the ratio 22/7 : 8/3. If Murthy gets Rs. 120/- more than Prasad, find the share of each?

In a cricket test series, the runs made by Raju and Tendulkar are in the ratio 5:9 and Tendulkar and Azar are in the ratio 6:7. What are the runs made by them if Azar makes 187 runs more than Raju?

If A:B = 2:3 and B:C = 9:5 find A:B:C?

If A:B = 3/5:5/7 and B:C = 3/4:2/5, find A:B:C?

If R:S = 0.01:0.11 and S:T = 2.2:1, Find R:S:T?

In a school, Under a Saving Scheme, Rekha saves 3/2 times the savings of Bindu, Geeta saves 4 times the savings of Rekha. Find the ratio of the savings of all the three in least terms?

Simplification

A man left 1/3 rd of his property to his wife and 3/5 th of the remainder to his daughter. He gave the rest to his son who received Rs. 6400/-. How much was his original property worth?

Ratio and Proportion

In a school 4/9 of the pupils are boys. There are 125 girls. How many boys are there?

If A:B = 3:4 and B:C = 5:6, find A:C?

IF X:Y = 3:4 AND Y:Z = 4:5, FIND X:Y:Z?