All Courses
Get the App Signup / Login
Sign in Open App
UPSC Exam  >  UPSC Tests  >  Test: Mensuration- 5 - UPSC MCQ

Test: Mensuration- 5 - UPSC MCQ


Test Description

15 Questions MCQ Test - Test: Mensuration- 5

Test: Mensuration- 5 for UPSC 2024 is part of UPSC preparation. The Test: Mensuration- 5 questions and answers have been prepared according to the UPSC exam syllabus.The Test: Mensuration- 5 MCQs are made for UPSC 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Mensuration- 5 below.
Solutions of Test: Mensuration- 5 questions in English are available as part of our course for UPSC & Test: Mensuration- 5 solutions in Hindi for UPSC course. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free. Attempt Test: Mensuration- 5 | 15 questions in 15 minutes | Mock test for UPSC preparation | Free important questions MCQ to study for UPSC Exam | Download free PDF with solutions
Test: Mensuration- 5 - Question 1
Save

The radii of two spheres are in the ratio of 1 : 2. Find the ratio of their surface areas.

Detailed Solution for Test: Mensuration- 5 - Question 1

Test: Mensuration- 5 - Question 2
Save

Find the number of bricks, each measuring 25 cm × 12.5 cm × 7.5 cm, required to construct a wall 12 m long, 5 m high and 0.25 m thick, while the sand and cement mixture occupies 5% of the totalvolume of wall.

Detailed Solution for Test: Mensuration- 5 - Question 2

Volume of wall = 1200 × 500 × 25 = 15000000 cm3
Volume of cement = 5% of 15000000 = 750000 cm3
Remaining volume = 15000000 – 750000 = 14250000 cm3
Volume of a brick = 25 × 12.5 × 7.5 = 2343.75 cm3

1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Mensuration- 5 - Question 3
Save

In a shower, 10 cm of rain falls. What will be the volume of water that falls on 1 hectare area ofground?

Detailed Solution for Test: Mensuration- 5 - Question 3

Test: Mensuration- 5 - Question 4
Save

In a swimming pool measuring 90 m by 40 m, 150 men take a dip. If the average displacement ofwater by a man is 8 cubic metres, what will be rise in water level?
Detailed Solution for Test: Mensuration- 5 - Question 4

Let the rise in height be = h
Then, as per the question, the volume of water should be equal in both the cases.
Now, 90 × 40 × h = 150 × 8

Test: Mensuration- 5 - Question 5
Save

Two cones have their heights in the ratio 1 : 2 and the diameters of their bases are in the ratio 2 :1. What will be the ratio of their volumes?
Detailed Solution for Test: Mensuration- 5 - Question 5

If the ratio of their diameters = 2 : 1, then the ratio of their radii will also be = 2 : 1
Let the radii of the broader cone = 2 and height be = 1
Then the radii of the smaller cone = 1 and height be = 2

Test: Mensuration- 5 - Question 6
Save

A closed wooden box measures externally 10 cm long, 8 cm broad and 6 cm high. Thickness ofwood is 0.5 cm. Find the volume of wood used.
Detailed Solution for Test: Mensuration- 5 - Question 6

Volume of wood used = External volume – Outer Volume
fi (10 × 8 × 6) – (10 – 1) × (8 – 1) × (6 – 1)
fi 480 – (9 × 7 × 5) = 165 cm2

Test: Mensuration- 5 - Question 7
Save

Three cubes each of volume of 216 m3 are joined end to end. Find the surface area of the resultingfigure.
Detailed Solution for Test: Mensuration- 5 - Question 7

Let one side of the cube = a
Then a3 = 216 fi a = 6 m
Area of the resultant figure
= Area of all 3 cubes – Area of covered figure
fi 216 × 3 – (4 × a2) fi 648 – 144 fi 504 m2

Test: Mensuration- 5 - Question 8
Save

The largest cone is formed at the base of a cube of side measuring 7 cm. Find the ratio of volumeof cone to cube.
Detailed Solution for Test: Mensuration- 5 - Question 8

Test: Mensuration- 5 - Question 9
Save

Find the radius of the circle inscribed in a triangle whose sides are 8 cm, 15 cm and 17 cm.
Detailed Solution for Test: Mensuration- 5 - Question 9

Test: Mensuration- 5 - Question 10
Save

A cube whose edge is 20 cm long has circle on each of its faces painted black. What is the totalarea of the unpainted surface of the cube if the circles are of the largest area possible?
Detailed Solution for Test: Mensuration- 5 - Question 10

Surface area of the cube = 6a2 = 6 × (20)2
= 2400
Area of 6 circles of radius 10 cm = 6pr2
= 6 × p × 100
= 1885.71
Remaining area = 2400 – 1884 = 514.28

Test: Mensuration- 5 - Question 11
Save

In the adjacent figure, find the area of the shaded region. (Use = 22/7)
Detailed Solution for Test: Mensuration- 5 - Question 11

Test: Mensuration- 5 - Question 12
Save

The perimeter of a sector of a circle of radius 5.7 m is 27.2 m. Find the area of the sector.
Detailed Solution for Test: Mensuration- 5 - Question 12

Let the angle subtended by the sector at the centre be = q
Then,

Test: Mensuration- 5 - Question 13
Save

A circular tent is cylindrical to a height of 3 metres and conical above it. If its diameter is 105 mand the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide tomake the required tent.
Detailed Solution for Test: Mensuration- 5 - Question 13

Test: Mensuration- 5 - Question 14
Save

If the curved surface area of a cone is thrice that of another cone and slant height of the secondcone is thrice that of the first, find the ratio of the area of their base.
Detailed Solution for Test: Mensuration- 5 - Question 14

Test: Mensuration- 5 - Question 15
Save

Two circles touch internally. The sum of their areas is 116p cm2 and distance between theircentres is 6 cm. Find the radii of the circles.
Detailed Solution for Test: Mensuration- 5 - Question 15

Let the radius of the bigger circle = R
Let the radius of the smaller circle = r
Then as per question; R – r = 6
Solving through options; only option (a) satisfies this condition.

Information about Test: Mensuration- 5 Page
In this test you can find the Exam questions for Test: Mensuration- 5 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Mensuration- 5, EduRev gives you an ample number of Online tests for practice

Top Courses for UPSC

Download as PDF

Top Courses for UPSC

Important Questions for Mensuration- 5

Find all the important questions for Mensuration- 5 at EduRev.Get fully prepared for Mensuration- 5 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Mensuration- 5 syllabus. Whether you need to review specific subjects or assess your overall readiness, EduRev has you covered. The questions are designed to challenge you and help you gain confidence in tackling the actual exam. Maximize your chances of success by utilizing EduRev's extensive collection of Mensuration- 5 resources.

Mensuration- 5 MCQs with Answers

Prepare for the Mensuration- 5 within the UPSC exam with comprehensive MCQs and answers at EduRev. Our platform offers a wide range of practice papers, question papers, and mock tests to familiarize you with the exam pattern and syllabus. Access the best books, study materials, and notes curated by toppers to enhance your preparation. Stay updated with the exam date and receive expert preparation tips and paper analysis. Visit EduRev's official website today and access a wealth of videos and coaching resources to excel in your exam.

Online Tests for Mensuration- 5

Practice with a wide array of question papers that follow the exam pattern and syllabus. Our platform offers a user-friendly interface, allowing you to track your progress and identify areas for improvement. Access detailed solutions and explanations for each test to enhance your understanding of concepts. With EduRev's Online Tests, you can build confidence, boost your performance, and ace Mensuration- 5 with ease. Join thousands of successful students who have benefited from our trusted online resources.
© EduRev
Education Revolution
Follow Us
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup