Explore Exams
Login Signup
Sign in Open App
CBSE Class 10  >  Class 10 Test  >  Olympiad Preparation  >  Olympiad Test: Cubes and Dice - Class 10 MCQ

Olympiad Test: Cubes and Dice - Free MCQ with solutions Class 10


MCQ Practice Test & Solutions: Olympiad Test: Cubes and Dice (15 Questions)

You can prepare effectively for Class 10 Olympiad Preparation for Class 10 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Olympiad Test: Cubes and Dice". These 15 questions have been designed by the experts with the latest curriculum of Class 10 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 15

Sign up on EduRev for free to attempt this test and track your preparation progress.

Olympiad Test: Cubes and Dice - Question 1
Save

A cube painted blue on all faces is cut into 27 small cubes of equal size. How many small cubes are painted on one face only?

Detailed Solution: Question 1

The big cube can be cut into 27 small cubes as shown in the figure.
Number of cubes only one face painted = (m − 2)2 × 6
= (3 − 2)2 × 6 = (1)2 × 6 = 6.

Olympiad Test: Cubes and Dice - Question 2
Save

A cube is painted red on all faces is cut into 27 small cubes of equal size then how many cubes are not painted on any face?

Detailed Solution: Question 2

There is only one cube which is not painted on any face. 

Clear all your doubts with EduRev
Olympiad Test: Cubes and Dice - Question 3
Save

A cube of side 10cm is coloured green with a 2 cm wide red strip along all the sides on all the faces. The cube is cut into 125 smaller cubes of equal size then how many cubes are without any colour?

Detailed Solution: Question 3

There are 9 central cubes in three middle layers, which are without any colour.
∴ No. of cubes without any colour = 9 × 3 = 27 

Olympiad Test: Cubes and Dice - Question 4
Save

How many dots are there on the dice face opposite the one with three dots? 

Detailed Solution: Question 4

From figures (i), (ii), (iv) we observe that 6, 4, 3, 1 lie adjacent to 2. Hence the number 5 will appear on the face showing 2.

Olympiad Test: Cubes and Dice - Question 5
Save

Three positions of a dice are given. Based on them find out which number is found opposite the number 2 in the given cube.

Detailed Solution: Question 5

From figures (i) & (ii), it is clear that 1, 4, 3, 5 lie adjacent to number 6. So, number 2 lies opposite to 6.

Olympiad Test: Cubes and Dice - Question 6
Save

In the given figure find the number of dots on the face opposite the face having 3 dots.

Detailed Solution: Question 6

From figures (i), (ii) and (iii), we conclude that 3, 4, 6 and 1 dots appear adjacent to 2 dots. Therefore, 5 dots appear opposite 2 dots. Now, from figures (i) and (iii), we conclude that 2, 4 and 1 dots appear adjacent to 3 dots. Therefore, either 5 or 6 dots appear opposite 3 dots. Since, 5 dots appear opposite 2 dots, it follows that 6 dots appear opposite 3 dots.

Olympiad Test: Cubes and Dice - Question 7
Save

Two positions of a dice are shown. When 4 is at the bottom, what number will be on the top?

Detailed Solution: Question 7

From figure (i) & (ii) 2, 3, 5, 6 lie adjacent to 1. 4 lies opposite to 1.

Olympiad Test: Cubes and Dice - Question 8
Save

In the given figure, when 4 is at the bottom, what number will be on the top?

Detailed Solution: Question 8

When 4 is at the bottom then 3 will be on the top.

Olympiad Test: Cubes and Dice - Question 9
Save

Two positions of a parallelepiped are given below. When the number 3 will be on the top side then which number will be at the bottom? 

Detailed Solution: Question 9

If 3 will be on the top, then 5 will come at bottom.

Olympiad Test: Cubes and Dice - Question 10
Save

Three different positions X, Y, Z of a dice are as shown below. 

Which number lies opposite to 6?

Detailed Solution: Question 10

From positions X and Y we conclude that 1, 5, 6 and 3 lie adjacent to 4. Therefore, 2 must lie opposite 4. From positions Y and Z we conclude that 4, 3, 2 and 5 lie adjacent to 6. Therefore, 1 must lie opposite 6.

Olympiad Test: Cubes and Dice - Question 11
Save

In the given figure, which number lies at the bottom face in position B?

Detailed Solution: Question 11

From positions A and B we conclude that 1, 5, 6 and 3 lie adjacent to 4. Therefore, 2 must lie opposite 4. From positions A and B we conclude that 4, 3, 2 and 5 lie adjacent to 6. Therefore, 1 must lie opposite 6. Thus, 2 lies opposite 4, 1 lies opposite 6 and consequently 5 lies opposite 3.
2 lies at the bottom face in position B.

Olympiad Test: Cubes and Dice - Question 12
Save

In the following figure, which symbol is opposite to the arrow.

Detailed Solution: Question 12

(B) 'From Figs (i) and (ii) it is clear that triangle appears opposite arrow'.

Olympiad Test: Cubes and Dice - Question 13
Save

Two positions of a block are given below. When 1 is at the top, which number will be at the bottom? 

Detailed Solution: Question 13

2 is common to the two positions of the dice. If the dice in figure (i) is rotated so that 2 remains on the top face and the numbers 3 & 6 move to the face hidden behind 5 & 1 respectively. 5 lies opposite to 3 and 6 lies opposite to 1.

Olympiad Test: Cubes and Dice - Question 14
Save

In the given figure, when 2 is at the bottom, what number will be at the top?

Detailed Solution: Question 14

When 2 is at the bottom 1 will be at the top.

Olympiad Test: Cubes and Dice - Question 15
Save

Cubes of same size are arranged in the form of cube on a table then a column of five cubes is removed from each of the four cubes is removed from each of the four corners. All the exposed faces of rest of the cube are coloured yellow. Then how many small cubes are there in the solid after the removal of the column?

Detailed Solution: Question 15

Required no. of cubes = 125 – (4 × 5)
= 125 – 20 = 105 

70 videos|236 docs|187 tests
Join Course
Information about Olympiad Test: Cubes and Dice Page
In this test you can find the Exam questions for Olympiad Test: Cubes and Dice solved & explained in the simplest way possible. Besides giving Questions and answers for Olympiad Test: Cubes and Dice, EduRev gives you an ample number of Online tests for practice
Download as PDF

About this Class 10 Practice Test

This test contains 15 MCQs on Olympiad Test: Cubes and Dice with detailed solutions for each question. It is part of the Olympiad Preparation for Class 10 course on EduRev, designed to align with the current Class 10 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

Explore more Class 10 Study Resources

If you found this Olympiad Test: Cubes and Dice MCQ Test helpful, you can further enhance your Class 10 preparation with in-depth courses on EduRev, for all the subjects and topics available in Olympiad Preparation for Class 10 course. The course offers:
  • Video Lectures: covering all the topics of Olympiad Preparation for Class 10
  • Notes for Revision: offering revision notes, important questions, summaries, flashcards, cheatsheets & more for Class 10 preparation
  • MCQ Test: variety of questions as per the pattern of Class 10 exam
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily