All Courses
Get the App Signup / Login
Sign in Open App
CAT Exam  >  CAT Tests  >  CAT Mock Test Series and 500+ Practice Tests 2024  >  Test: Cubes & Cuboids - 1 - CAT MCQ

Test: Cubes & Cuboids - 1 - CAT MCQ


Test Description

15 Questions MCQ Test CAT Mock Test Series and 500+ Practice Tests 2024 - Test: Cubes & Cuboids - 1

Test: Cubes & Cuboids - 1 for CAT 2024 is part of CAT Mock Test Series and 500+ Practice Tests 2024 preparation. The Test: Cubes & Cuboids - 1 questions and answers have been prepared according to the CAT exam syllabus.The Test: Cubes & Cuboids - 1 MCQs are made for CAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Cubes & Cuboids - 1 below.
Solutions of Test: Cubes & Cuboids - 1 questions in English are available as part of our CAT Mock Test Series and 500+ Practice Tests 2024 for CAT & Test: Cubes & Cuboids - 1 solutions in Hindi for CAT Mock Test Series and 500+ Practice Tests 2024 course. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free. Attempt Test: Cubes & Cuboids - 1 | 15 questions in 30 minutes | Mock test for CAT preparation | Free important questions MCQ to study CAT Mock Test Series and 500+ Practice Tests 2024 for CAT Exam | Download free PDF with solutions
Test: Cubes & Cuboids - 1 - Question 1
Save

Directions to Solve

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
  2. Two faces measuring 4 cm x 1 cm are coloured in black.
  3. Two faces measuring 6 cm x 1 cm are coloured in red.
  4. Two faces measuring 6 cm x 4 cm are coloured in green.
  5. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).

Question -

How many cubes having red, green and black colours on at least one side of the cube will be formed ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 1

Such cubes are related to the corners of the cuboid. Since the number of corners of the cuboid is 4.

Hence, the number of such small cubes is 4.

Test: Cubes & Cuboids - 1 - Question 2
Save

Directions to Solve

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
  2. Two faces measuring 4 cm x 1 cm are coloured in black.
  3. Two faces measuring 6 cm x 1 cm are coloured in red.
  4. Two faces measuring 6 cm x 4 cm are coloured in green.
  5. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).

Question -

How many small cubes will be formed ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 2

Number of small cubes = l x b x h = 6 x 4 x 1 = 24

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

Directions to Solve

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
  2. Two faces measuring 4 cm x 1 cm are coloured in black.
  3. Two faces measuring 6 cm x 1 cm are coloured in red.
  4. Two faces measuring 6 cm x 4 cm are coloured in green.
  5. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).

Question -

How many cubes will have 4 coloured sides and two non-coloured sides ?

Detailed Solution for Test: Cubes & Cuboids - 1 - Question 3

Only 4 cubes situated at the corners of the cuboid will have 4 coloured and 2 non-coloured sides.

Test: Cubes & Cuboids - 1 - Question 4
Save

Directions to Solve

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
  2. Two faces measuring 4 cm x 1 cm are coloured in black.
  3. Two faces measuring 6 cm x 1 cm are coloured in red.
  4. Two faces measuring 6 cm x 4 cm are coloured in green.
  5. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).

Question -

How many cubes will remain if the cubes having black and green coloured are removed ?
Detailed Solution for Test: Cubes & Cuboids - 1 - Question 4

Number of small cubes which are Black and Green is 8 in all.

Hence, the number of remaining cubes are = 24 - 8 = 16

Test: Cubes & Cuboids - 1 - Question 5
Save

Directions to Solve

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 6 cm length, 4 cm breadth and 1 cm height.
  2. Two faces measuring 4 cm x 1 cm are coloured in black.
  3. Two faces measuring 6 cm x 1 cm are coloured in red.
  4. Two faces measuring 6 cm x 4 cm are coloured in green.
  5. The block is divided into 6 equal cubes of side 1 cm (from 6 cm side), 4 equal cubes of side 1 cm(from 4 cm side).

Question -

How many cubes will have green colour on two sides and rest of the four sides having no colour ?
Detailed Solution for Test: Cubes & Cuboids - 1 - Question 5

There are 16 small cubes attached to the outer walls of the cuboid.

Therefore remaining inner small cubes will be the cubes having two sides green coloured.

So the required number = 24 - 16 = 8

Test: Cubes & Cuboids - 1 - Question 6
Save

Directions to Solve

The following questions are based on the information given below:

  1. There is a cuboid whose dimensions are 4 x 3 x 3 cm.
  2. The opposite faces of dimensions 4 x 3 are coloured yellow.
  3. The opposite faces of other dimensions 4 x 3 are coloured red.
  4. The opposite faces of dimensions 3 x 3 are coloured green.
  5. Now the cuboid is cut into small cubes of side 1 cm.

Question -

How many small cubes will have only two faces coloured ?
Detailed Solution for Test: Cubes & Cuboids - 1 - Question 6

Number of small cubes having only two faces coloured = 6 from the front + 6 from the back + 2 from the left + 2 from the right

= 16

Test: Cubes & Cuboids - 1 - Question 7
Save

Directions to Solve

The following questions are based on the information given below:

  1. There is a cuboid whose dimensions are 4 x 3 x 3 cm.
  2. The opposite faces of dimensions 4 x 3 are coloured yellow.
  3. The opposite faces of other dimensions 4 x 3 are coloured red.
  4. The opposite faces of dimensions 3 x 3 are coloured green.
  5. Now the cuboid is cut into small cubes of side 1 cm.

Question -

How many small cubes have three faces coloured ?
Detailed Solution for Test: Cubes & Cuboids - 1 - Question 7

Such cubes are related to the corners of the cuboid and there are 8 corners.

Hence, the required number is 8.

Test: Cubes & Cuboids - 1 - Question 8
Save

Directions to Solve

The following questions are based on the information given below:

  1. There is a cuboid whose dimensions are 4 x 3 x 3 cm.
  2. The opposite faces of dimensions 4 x 3 are coloured yellow.
  3. The opposite faces of other dimensions 4 x 3 are coloured red.
  4. The opposite faces of dimensions 3 x 3 are coloured green.
  5. Now the cuboid is cut into small cubes of side 1 cm.

Question -

How many small cubes will have no face coloured ?
Detailed Solution for Test: Cubes & Cuboids - 1 - Question 8

Number of small cubes have no face coloured = (4 - 2) x (3 - 2) = 2 x 1 = 2

Test: Cubes & Cuboids - 1 - Question 9
Save

Directions to Solve

The following questions are based on the information given below:

  1. There is a cuboid whose dimensions are 4 x 3 x 3 cm.
  2. The opposite faces of dimensions 4 x 3 are coloured yellow.
  3. The opposite faces of other dimensions 4 x 3 are coloured red.
  4. The opposite faces of dimensions 3 x 3 are coloured green.
  5. Now the cuboid is cut into small cubes of side 1 cm.

Question -

How many small cubes will have only one face coloured ?
Detailed Solution for Test: Cubes & Cuboids - 1 - Question 9

Number of small cubes having only one face coloured = 2 x 2 + 2 x 2 + 2 x 1

= 4 + 4 + 2

= 10

Test: Cubes & Cuboids - 1 - Question 10
Save

Directions to Solve

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
  2. Two sides measuring 5 cm x 4 cm are coloured in red.
  3. Two faces measuring 4 cm x 3 cm are coloured in blue.
  4. Two faces measuring 5 cm x 3 cm are coloured in green.
  5. Now the block is divided into small cubes of side 1 cm each.

Question -

How many small cubes will have will have three faces coloured ?
Detailed Solution for Test: Cubes & Cuboids - 1 - Question 10

Such cubes are related to the corners of the cuboid and in the cuboid there are 8 corners.

Hence, the required number of small cubes is 8.

Test: Cubes & Cuboids - 1 - Question 11
Save

Directions to Solve

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
  2. Two sides measuring 5 cm x 4 cm are coloured in red.
  3. Two faces measuring 4 cm x 3 cm are coloured in blue.
  4. Two faces measuring 5 cm x 3 cm are coloured in green.
  5. Now the block is divided into small cubes of side 1 cm each.

Question -

How many small cubes will have only one face coloured ?
Detailed Solution for Test: Cubes & Cuboids - 1 - Question 11

2 from the front + 2 from the back + 3 from the left + 3 from the right + 6 from the top + 6 from the bottom = 22

Test: Cubes & Cuboids - 1 - Question 12
Save

Directions to Solve

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
  2. Two sides measuring 5 cm x 4 cm are coloured in red.
  3. Two faces measuring 4 cm x 3 cm are coloured in blue.
  4. Two faces measuring 5 cm x 3 cm are coloured in green.
  5. Now the block is divided into small cubes of side 1 cm each.

Question -

How many small cubes will have no faces coloured ?
Detailed Solution for Test: Cubes & Cuboids - 1 - Question 12

Required number of small cubes = (5 - 2) x (4 - 2) x (3 - 2)

= 3 x 2 x 1

= 6

Test: Cubes & Cuboids - 1 - Question 13
Save

Directions to Solve

The following questions are based on the information given below:

  1. A cuboid shaped wooden block has 4 cm length, 3 cm breadth and 5 cm height.
  2. Two sides measuring 5 cm x 4 cm are coloured in red.
  3. Two faces measuring 4 cm x 3 cm are coloured in blue.
  4. Two faces measuring 5 cm x 3 cm are coloured in green.
  5. Now the block is divided into small cubes of side 1 cm each.

Question -

How many small cubes will have two faces coloured with red and green colours ?
Detailed Solution for Test: Cubes & Cuboids - 1 - Question 13

Required number of small cubes = 6 from the top and 6 from the bottom = 12

Test: Cubes & Cuboids - 1 - Question 14
Save

Directions to Solve

The following questions are based on the information given below:

  1. All the faces of cubes are painted with red colour.
  2. The cubes is cut into 64 equal small cubes.

Question -

How many small cubes have only one face coloured ?
Detailed Solution for Test: Cubes & Cuboids - 1 - Question 14

Number of small cubes having only one face coloured = (x - 2)2 x No. of faces

= (4 - 2)2 x 6

= 24

Test: Cubes & Cuboids - 1 - Question 15
Save

Directions to Solve

The following questions are based on the information given below:

  1. All the faces of cubes are painted with red colour.
  2. The cubes is cut into 64 equal small cubes.

Question -

How many small cubes have no faces coloured ?
Detailed Solution for Test: Cubes & Cuboids - 1 - Question 15

Number of small cubes having only one faces coloured = (x - 2)3

Here, x = side of big cube / side of small cube

x = 4 /1

x = 4

Required number = (4 -2)3

= 8

1 videos|75 docs|469 tests
Join Course
Information about Test: Cubes & Cuboids - 1 Page
In this test you can find the Exam questions for Test: Cubes & Cuboids - 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Cubes & Cuboids - 1, EduRev gives you an ample number of Online tests for practice

Top Courses for CAT

Download as PDF

Top Courses for CAT

Important Questions for Cubes & Cuboids - 1

Find all the important questions for Cubes & Cuboids - 1 at EduRev.Get fully prepared for Cubes & Cuboids - 1 with EduRev's comprehensive question bank and test resources. Our platform offers a diverse range of question papers covering various topics within the Cubes & Cuboids - 1 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 Cubes & Cuboids - 1 resources.

Cubes & Cuboids - 1 MCQs with Answers

Prepare for the Cubes & Cuboids - 1 within the CAT 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 Cubes & Cuboids - 1 CAT Mock Test Series and 500+ Practice Tests 2024

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 Cubes & Cuboids - 1 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