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A dice is numbered from 1 to 6 in different ways.
Q. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?
Q. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?
- a)2 is opposite to 6
- b)1 is adjacent to 3
- c)3 is adjacent to 5
- d)3 is opposite to 5
Correct answer is option 'C'. Can you explain this answer?
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A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent t...
If 1 is adjacent to 2, 4 and 6, then either 3 or 5 lies opposite to 1. So, the numbers 3 and 5 cannot lie opposite to each other. Hence, 3 is adjacent to 5 (necessarily).
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A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent t...
Understanding the Dice Configuration
To solve the problem, we need to visualize the arrangement of the numbers on a cube-shaped die. Given that 1 is adjacent to 2, 4, and 6, we can infer a few things about the positioning of these numbers.
Adjacent Numbers
- **1** is adjacent to **2**, **4**, and **6**.
- This means that **1** cannot be opposite to any of these numbers.
Analyzing the Options
Now, let’s analyze each option provided:
a) 2 is opposite to 6
- This cannot be true because **1** is adjacent to both **2** and **6**. Thus, they cannot be opposite each other.
b) 1 is adjacent to 3
- There is no information given about **3**, so we cannot conclude that **1** is adjacent to **3**.
c) 3 is adjacent to 5
- Since **1** is adjacent to **2**, **4**, and **6**, the numbers **3** and **5** must occupy the opposite sides of the remaining faces on the die. Therefore, **3** and **5** must be adjacent to maintain the structure of the die.
d) 3 is opposite to 5
- This cannot be true because if **3** were opposite to **5**, then **1** would not be adjacent to both of them.
Conclusion
Given the analysis, the statement that is necessarily true is option **C**: **3 is adjacent to 5**. This is the only configuration that maintains the conditions set by the adjacency of the other numbers.
To solve the problem, we need to visualize the arrangement of the numbers on a cube-shaped die. Given that 1 is adjacent to 2, 4, and 6, we can infer a few things about the positioning of these numbers.
Adjacent Numbers
- **1** is adjacent to **2**, **4**, and **6**.
- This means that **1** cannot be opposite to any of these numbers.
Analyzing the Options
Now, let’s analyze each option provided:
a) 2 is opposite to 6
- This cannot be true because **1** is adjacent to both **2** and **6**. Thus, they cannot be opposite each other.
b) 1 is adjacent to 3
- There is no information given about **3**, so we cannot conclude that **1** is adjacent to **3**.
c) 3 is adjacent to 5
- Since **1** is adjacent to **2**, **4**, and **6**, the numbers **3** and **5** must occupy the opposite sides of the remaining faces on the die. Therefore, **3** and **5** must be adjacent to maintain the structure of the die.
d) 3 is opposite to 5
- This cannot be true because if **3** were opposite to **5**, then **1** would not be adjacent to both of them.
Conclusion
Given the analysis, the statement that is necessarily true is option **C**: **3 is adjacent to 5**. This is the only configuration that maintains the conditions set by the adjacency of the other numbers.
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A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent t...
Option c is coreect
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A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?a)2 is opposite to 6b)1 is adjacent to 3c)3 is adjacent to 5d)3 is opposite to 5Correct answer is option 'C'. Can you explain this answer?
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A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?a)2 is opposite to 6b)1 is adjacent to 3c)3 is adjacent to 5d)3 is opposite to 5Correct answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?a)2 is opposite to 6b)1 is adjacent to 3c)3 is adjacent to 5d)3 is opposite to 5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?a)2 is opposite to 6b)1 is adjacent to 3c)3 is adjacent to 5d)3 is opposite to 5Correct answer is option 'C'. Can you explain this answer?.
A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?a)2 is opposite to 6b)1 is adjacent to 3c)3 is adjacent to 5d)3 is opposite to 5Correct answer is option 'C'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?a)2 is opposite to 6b)1 is adjacent to 3c)3 is adjacent to 5d)3 is opposite to 5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?a)2 is opposite to 6b)1 is adjacent to 3c)3 is adjacent to 5d)3 is opposite to 5Correct answer is option 'C'. Can you explain this answer?.
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A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?a)2 is opposite to 6b)1 is adjacent to 3c)3 is adjacent to 5d)3 is opposite to 5Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?a)2 is opposite to 6b)1 is adjacent to 3c)3 is adjacent to 5d)3 is opposite to 5Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A dice is numbered from 1 to 6 in different ways.Q. If 1 is adjacent to 2, 4 and 6, then which of the following statements is necessarily true?a)2 is opposite to 6b)1 is adjacent to 3c)3 is adjacent to 5d)3 is opposite to 5Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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