MCQ: Area and Perimeter- 2 - SSC CGL MCQ

# MCQ: Area and Perimeter- 2 - SSC CGL MCQ

Test Description

## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Area and Perimeter- 2

MCQ: Area and Perimeter- 2 for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation. The MCQ: Area and Perimeter- 2 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Area and Perimeter- 2 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- 2 below.
Solutions of MCQ: Area and Perimeter- 2 questions in English are available as part of our Quantitative Aptitude for SSC CGL for SSC CGL & MCQ: Area and Perimeter- 2 solutions in Hindi for Quantitative Aptitude for SSC CGL course. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free. Attempt MCQ: Area and Perimeter- 2 | 15 questions in 15 minutes | Mock test for SSC CGL preparation | Free important questions MCQ to study Quantitative Aptitude for SSC CGL for SSC CGL Exam | Download free PDF with solutions
MCQ: Area and Perimeter- 2 - Question 1

### One side of a rectangular field is 4 meter and its diagonal is 5 meter. The area of the field is ?

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

Other side = √5 2 - 42
= √ 9
=3 m

So The area of the rectangular field = 4 x 3
= 12 m2

MCQ: Area and Perimeter- 2 - Question 2

### The length of hall is (4/3) times its breadth. If the area of hall be 300 square meters, the difference between the length and the breadth is ?

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

Then, length = 4b/3 meters.
∵ b x 4b/3 = 300

⇒ b2 = 300 x 3/4
⇒ b2 = 225
∴ b = 15

Hence, required difference = [(Length) - (Breadth) ]
= 4b/3 - b
= b/3
= 15/3 m
= 5 m

 1 Crore+ students have signed up on EduRev. Have you?
MCQ: Area and Perimeter- 2 - Question 3

### A rectangular plot is half as long again as it broad. The area of the lawn is 2/3 hectares. The length of the plot is?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 3

then, length = 3b/2 meters
∴ b x 3b/2 = 2/3 X 10000
⇒ b2 = (4 x 10000)/9
⇒ b = ( 2 X 100)/3 m
∴ Length = (3/2) x (2/3) x 100 m
= 100 m

MCQ: Area and Perimeter- 2 - Question 4

The area of a rectangle, 144 m long is the same as that of a square having a side 84 m long. The width of the rectangle is ?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 4

Area of the square = (84 + 84) m2
Area of the rectangle = (144 x width) m2

From question both area would be same,
∴ Width = (84 x 84) / 144 m = 49 m

MCQ: Area and Perimeter- 2 - Question 5

The cost of papering the four walls of a room is Rs. 48. Each one of length, breadth and height of another room is double that of this room.The cost of papering the walls of the new room is ?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 5

Let the length, breadth and height of the room be l, b and h respectively

As per question
Cost of 2(l + b) x h = Rs. 48
∴ Required cost = cost of 2 (2l + 2b) x 2h
= cost of 4 [2(l + b) x h ]
= 4 x Rs. 48
= Rs. 192

MCQ: Area and Perimeter- 2 - Question 6

Area of a four wall of a room is 77 square meters . the length and breadth of room are 7.5 meters and 3.5 meters respectively . the height of the room is ?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 6

Area of four walls = 2 x (l + b ) x h
⇒ 2 x (7.5 + 3.5 ) x h = 77 m2
⇒ h = 77 / (2 x 11) = 7/2
∴ h = 3.5 meters

MCQ: Area and Perimeter- 2 - Question 7

The length of a rectangle room is 4 meters . if it can be partitioned into two equal square rooms . what is the length of each partition in meters ?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 7

Let the width of the room be x members
Then, its area = (4x) m2
Area of each new square room = (2x)m2
Let the side of each new room = y meters
Then, y2 = 2x
Clearly, 2x is a complete square when x=2
∴ y2 = 4
⇒ y = 2 m .

MCQ: Area and Perimeter- 2 - Question 8

A hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m. the cost of flooring the verandah at the rate of 3.50 per sq. meter is ?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 8

Area of verandah = [(25 x 20) -(20 x 15)] m2
= 200 m2
∴ Cost of flooring = Rs. (200 x 3.50)
= Rs. 700

MCQ: Area and Perimeter- 2 - Question 9

If the ratio of the area of two square is 9 : 1 the ratio of their perimeters is ?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 9

Let the area of square be (9x)2 m2 and (x2) m2
Then, their sides are (3x) m and x metres respectively
∴ Ratio of their perimeters = 12x / 4x
=3:1

MCQ: Area and Perimeter- 2 - Question 10

The area of a rectangle is thrice that of square. Length of the rectangle is 40 cm and the breadth of the rectangle is ( 3 / 2 ) times that of the side of the square. The side of the square in cm is ?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 10

Let the side of the square = y cm
Then, breadth of the rectangle = 3y/2 cm
∴ Area of rectangle = (40 x 3y/2) cm2
= 60y cm2
∴ 60y = 3y2
∴ y = 20
Hence, the side of the square = 20 cm

MCQ: Area and Perimeter- 2 - Question 11

The radius of a circle has been reduced from 9 cm to 7 cm . the appropriate percentage decrease in area is ?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 11

Original area = (22/7) x 9 x 9 cm2
New area = (22/7) x 7 x 7 cm2
∴ Decrease = 22/7 x [(9)2 -(7)2] cm2
=(22/7) x 16 x 2 cm2
Decrease percent = [(22/7 x 16 x 2) /( 7/22 x 9 x 9)] x 100 %
= 39.5 %

MCQ: Area and Perimeter- 2 - Question 12

The area of a circular field is 13.86 hectares . The cost of fencing it at the rate of 20 paisa per meter is ?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 12

∵ 22/7 x r2 = 13.86 x 10000
⇒ r2 = (13.86 x 10000 x 7) / 22
∴ r = 210 m
⇒ Circumference = [2 x (22/7) x 210 ] m
= 1320 m
Cost of fencing = Rs. (1320 x 20)/100
= Rs . 264

MCQ: Area and Perimeter- 2 - Question 13

If the circumference of a circle is the 352 meters, then its area in m square is ?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 13

circumference = 2πr = 2 x (22 / 7) x r = 352
⇒ r = (352 x 7) / (22 x 2) =56 cm
Now area = πr2 = (22 / 7) x 56 x 56 m2
= 9856 m2

MCQ: Area and Perimeter- 2 - Question 14

If the circumference of a circle is the 352 meters, then its area in m square is ?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 14

circumference = 2πr = 2 x (22 / 7) x r = 352
⇒ r = (352 x 7) / (22 x 2) =56 cm
Now area = πr2 = (22 / 7) x 56 x 56 m2
= 9856 m2

MCQ: Area and Perimeter- 2 - Question 15

In a triangle ABC, BC = 5 cm AC = 12 cm and AB = 13 cm. The length of a altitude drawn from B on AC is ?

Detailed Solution for MCQ: Area and Perimeter- 2 - Question 15

∵ s= (13 + 5 + 12) / 2 cm
= 15cm
s-a = 2 cm,
s-b = 10 cm and
s-c = 3 cm
⇒ Area = √ (15 x 2 x 10 x 3 ) cm2
= 30 cm2
⇒ (12 x h) / 2 = 30
∴ h = 5 cm

## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests
Information about MCQ: Area and Perimeter- 2 Page
In this test you can find the Exam questions for MCQ: Area and Perimeter- 2 solved & explained in the simplest way possible. Besides giving Questions and answers for MCQ: Area and Perimeter- 2, EduRev gives you an ample number of Online tests for practice

## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests