Area - aptitude test


Home > Aptitude test > Area

1) When folded into two equal halves a rectangular sheet had a perimeter of 48cm for each part folded along one set of sides and the same is 66cm when folded along the other set of sides. Find the area of the sheet.

a) 1584
b) 1120
c) 792
d) 1320

View Answer / Hide Answer

ANSWER : 1120

SOLUTION :

Let the sheet be folded along its breadth and its perimeter = 48cm
Therefore, (l/2 + b) = 48 …... (i)
Now, let the sheet be folded along its length, and the perimeter = 66cm
(l + b/2)= 66 …... (ii)
Solving (i) and (ii), we get,
l = 56cm, b = 20cm
Area = l*b
Area = 1120 cm2

2) Find the area of a rectangular field if John walking at the speed of 48m/min took 20 seconds to cross the field diagonally and Harry walking at a speed of 72m /min took 15 seconds to cross the field along its sides.

a) 64
b) 144
c) 34
d) Cannot be determined

View Answer / Hide Answer

ANSWER : 34

SOLUTION :

The length of the diagonal = speed of John * time = (48/60)*20 = 16m
Sum of the adjacent sides of the field = speed of Harry * time = (72/60)*15 = 18m
Area of the field = (182 - 162) / 2 = 34m2

3) If the length is increased by 25%, by what percent the width of a rectangle should be decreased so as to keep the area same.

a) 25%
b) 20%
c) 30%
d) 10%

View Answer / Hide Answer

ANSWER : 20%

SOLUTION :

Let the original length be l and the width be b
Therefore, the area = l*b
Now, as the length is increased by 25%, the new length is (1.25*l) and let the new width be x.
As the area is same, 1.25*l*x = l*b
x = b/1.25 = 0.8b
Therefore, the width is to be decreased by 20%.

4) What is the length of the diagonal of a square whose area is 4 times of another square with diagonal as 5v2 cm?

a) 20v2
b) 10
c) 10v2
d) 20

View Answer / Hide Answer

ANSWER :

SOLUTION : 10v2

Area of square = 1/2 * (length of diagonal)2
Area of square 1 = * (5v2)2 = 25
Area of square 2 = 4*25 = 100
Length of diagonal of square 2 = v2 * area = v2 * 100 = v200 = 10v2 cm

5) The ratio of the areas of a square and rhombus whose base is same is:

a) 1:2
b) 2:1
c) 1:1
d) 3:1

View Answer / Hide Answer

ANSWER : 1:1

SOLUTION :

The square and the rhombus are equal in area if they have a common base.



Write your comment - Share Knowledge and Experience

Discussion Board
area

practice question 1>

the formula for perimeter is 2(L+B) where as u have applied only L+B. ur answers of length and breadth doesn''t prove the perimeter values when the sheet is folded. plz check. the correct answers are 28cms and 10 cms. area 280 cms2.

SANDEEP KONANKI 06-10-2024 03:30 PM

Quantitative Aptitute>>Area

Q.5) The ratio of the areas of a square and rhombus whose base is same is:=1/2
Because area of rhombus=base x height
and area of square = side square
Now ,height of the rhombus is determined by the angle made by A with base, which is always less than 90 degress for it to be called a rhombus

Samy 02-12-2018 07:01 AM

request for explanations

please post explanations to online test questions.

sneh 07-29-2014 02:31 AM

 


Latest MCQs
» General awareness - Banking » ASP.NET » PL/SQL » Mechanical Engineering
» IAS Prelims GS » Java » Programming Language » Electrical Engineering
» English » C++ » Software Engineering » Electronic Engineering
» Quantitative Aptitude » Oracle » English » Finance
Home | About us | Sitemap | Contact us | We are hiring