MCQ: Area and Perimeter- 1 - SSC CGL MCQ

# MCQ: Area and Perimeter- 1 - SSC CGL MCQ

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## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Area and Perimeter- 1

MCQ: Area and Perimeter- 1 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Area and Perimeter- 1 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Area and Perimeter- 1 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Area and Perimeter- 1 below.
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MCQ: Area and Perimeter- 1 - Question 1

### The radius of a circular field is 25 m. Find the area of the field.

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 1

Required area = πr2 = π x 25 x 25
= 625π sq m.

MCQ: Area and Perimeter- 1 - Question 2

### If the sides of a rectangle are increased by 10% find the percentage increased in its diagonals.

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 2

According to the formula,
∵ Percentage increase in sides = 10%
∴ Percentage increase diagonals = 10%

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MCQ: Area and Perimeter- 1 - Question 3

### The length of a rectangular field is 100 m and its breadth is 40 m. What will be the area of the field ?

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 3

Required area = Length x Breadth
= 100 x 40 = 4000 sq m
= 4 x 103 sq m

MCQ: Area and Perimeter- 1 - Question 4

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?

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 4

Area of parallelogram = Base x Height
= 8.06 x 2.08 = 16.76 cm2

MCQ: Area and Perimeter- 1 - Question 5

Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 5

Given that, a = 6 cm, b = 4 cm and c = 5 cm
Required perimeter = a + b + c
= 6 + 4 + 5 cm
= 15 cm

MCQ: Area and Perimeter- 1 - Question 6

The area of an equilateral triangle whose side is 8 cms is ?

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 6

Req. Area = √3/4 x a2 = √3/4 x 82 cm2
= 16√3 cm2

MCQ: Area and Perimeter- 1 - Question 7

The ratio of the area of square of side a and equilateral triangle of side a is ?

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 7

Ratio of area = a2/ √(3/4) a2
= 4/√3 = 4:√3

MCQ: Area and Perimeter- 1 - Question 8

The ratio of the area of two square, one having and double its diagonal than the other is ?

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 8

Let the diagonal of one square be (2d) cm
Then, diagonal of another square = d cm
∴ Area of first square = [ 1/2 x (2d)2] cm2
Area of second square = (1/2 x d2) cm2
∴ Ratio of area = (2d)2/ d2
= 4/1 = 4: 1

MCQ: Area and Perimeter- 1 - Question 9

The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and the breadth is increased by 5 cm, the area of the rectangle is increased by 75 cm2 . Therefore , the length of the rectangle is ?

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 9

Let breadth = b, length = 2b
∴ Area of rectangle = 2b x b
= 2b2

As per question.
∵ (2b - 5 ) (b + 5 ) = 2b2 + 75
⇒ 5b = 75 + 25
⇒ 5b = 100
∴ b = 100 / 5 = 20

Hence, length of the rectangle =2b
= 2 x 20
= 40 cm.

MCQ: Area and Perimeter- 1 - Question 10

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

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 10

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

MCQ: Area and Perimeter- 1 - Question 11

The length of a rectangular plot is twice of its width. If the length of a diagonal is 9√5 meters, the perimeter of the rectangular is ?

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 11

Then, length = 2y meters
∴ Diagonal = √y2 + (2y)2
= √5y2 meters
So, √5y2 = 9 √5
∴ y= 9
Thus, breadth = 9 m and length = 18 m
∴ Perimeter = 2 (18 + 9) m = 54m.

MCQ: Area and Perimeter- 1 - Question 12

The length and breadth of a playground are 36 m and 21 m respectively. Flagstaffs are required to be fixed on all along the boundary at a distance of 3 m apart. The number of flagstaffs will be?

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 12

Perimeter = 2 x (36 + 21 ) m = 144 m
∴ Number of flagstaffs = 144 / 3 = 38

MCQ: Area and Perimeter- 1 - Question 13

What is the diameter of the circle having 3 cm radius?

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 13

∴ Diameter = 2 x Radius
= 2 x 3
= 6 cm

MCQ: Area and Perimeter- 1 - Question 14

If the sides of a rectangle are increased by 5%, find the percentage increase in its diagonals.

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 14

According to the formula,
Percentage increase in diagonals = 5%

MCQ: Area and Perimeter- 1 - Question 15

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

Detailed Solution for MCQ: Area and Perimeter- 1 - Question 15

Required area = Length x Breadth
= 15 x 8 = 120 sq m

## Quantitative Aptitude for SSC CGL

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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests