MCQ: Volume, Surface Area & Solid Figures - 1 - SSC CGL MCQ

# MCQ: Volume, Surface Area & Solid Figures - 1 - SSC CGL MCQ

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## 15 Questions MCQ Test Quantitative Aptitude for SSC CGL - MCQ: Volume, Surface Area & Solid Figures - 1

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

### The ratio of the length to the breadth of a rectangle is 5 : 4 and the area of the rectangle is 320 cm2, what is the perimeter of the rectangle?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 1

Length of the rectangle = 5x
Breadth of the rectangle = 4x
5x × 4x = 320
x2 = 16
x = 4
So the answer = 2 × (5x + 4x) = 2 × 9x = 2 × 9 × 4 = 72 cm
Hence, Option B is correct.

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 2

### What is the area of the largest square that can be made in a rectangle with 10 meters length and 4 meters width?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 2

The side of the square must be the same as the breadth of the rectangle.
Side of the square = 4 meters
So the answer = 4 × 4 = 16 m2
Hence, Option D is correct.

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MCQ: Volume, Surface Area & Solid Figures - 1 - Question 3

### What is the volume of a cylinder with 10 meters of diameter and 7 meters of height?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 3

Volume of the cylinder = πr2h

Hence, Option B is correct.

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 4

What is the height of an equilateral triangle with 8 cm side?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 4

Height of an equilateral triangle

Hence, Option A is correct.

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 5

What is the perimeter of a semi-circle with 14 cm radius?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 5

Perimeter of a semicircle = πr + 2r

Hence, Option D is correct.

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 6

What is the area of the largest circle that can be made inside a rectangle with 50 meters length and 42 meters breadth?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 6

Diameter of the circle = breadth of the rectangle = 42 meters

Hence, Option D is correct.

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 7

What is the total surface area of a cylinder with 20 cm height and 14 cm radius?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 7

The total surface area of a cylinder = 2πrh + 2πr2 = 2πr(h + r)

Hence, Option D is correct.

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 8

If 2 cubes have their volumes in the ratio 8 : 27, what is the ratio of the length of their edges?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 8

(The volume of cube = side3)
The ratio of sides = ∛8 : ∛27 = 2 : 3
Hence, Option B is correct.

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 9

How many rotations of a wheel with a 21 m radius are required to cover a distance of 6.60 km?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 9

Perimeter of the wheel

Hence, Option B is correct.

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 10

If the ratio of the width to the length of a rectangle is 2 : 3 and the area of the rectangle is 54 cm2, what is the difference between its width and length?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 10

Let the widh = 2x
Length = 3x
2x × 3x = 54
x = 3 cm
Hence, Option A is correct.

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 11

The diameter of a circle is half the side of a square whose area is 144 cm2. What is the area of the circle?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 11

Side of the square = √144 = 12 cm

So the answer = π × 3 × 3 = 9π cm

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 12

The area and the perimeter of a circle are x cm2 and y cm respectively. If ‘x + y = 704’, what is the area of the circle?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 12

πr2 + 2πr = 704
πr(r + 2) = 704

r × (r + 2) = 224
r = 14

Hence, Option C is correct.

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 13

What is the area of a right-angled triangle with 12 meter base and 13 meter hypotenuse?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 13

Height of the triangle = √(132 – 122) = 5 meters

Hence, Option A is correct.

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 14

What is the height of a cylinder with 1232 cm3 volume and 14 cm radius?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 14

Volume of the cylinder = πr2h = 1232

Hence, Option A is correct.

MCQ: Volume, Surface Area & Solid Figures - 1 - Question 15

If the length, breadth and height of a hall are 20 meters, 10 meters, 20 meters respectively, what is the diagonal of the hall?

Detailed Solution for MCQ: Volume, Surface Area & Solid Figures - 1 - Question 15

Diagonal of a room = √(l2 + b2 + h2)
So the answer = √(202 + 102 + 202) = √900 = 30 meters
Hence, Option B is correct.

## Quantitative Aptitude for SSC CGL

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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests