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Byju's Answer

Standard XII

Mathematics

Singular and Non Singualar Matrices

A dice is num...

Question

A dice is numbered from $1$ to $6$ in different ways.
If $1$ is adjacent to $2, 3$ and $5$ , then which of the following statements is necessarily true?

4

is adjacent to

6

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2

is adjacent to

5

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1

is adjacent to

6

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1

is adjacent to

4

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Solution

The correct option is A $4$ is adjacent to $6$
If $1$ is adjacent to $2, 3$ and $5$ , then either $4$ or $6$ lies opposite to $1$ . So, the numbers $4$ and $6$ cannot lie opposite to each other. Hence, $4$ necessarily lies adjacent to $6$ .

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Similar questions

Q. A dice is numbered from

1

6

in different ways.
If

2

is opposite to

3

and adjacent to

4

and

6

, then which of the following statements is necessarily true?

Q. A die is numbered from

1

6

in different ways. If

1

is adjacent to

2,

3

and

5,

then which of the following statements is necessarily true?

In the figure (IMAGE)

(a) Is $∠ 1$

adjacent to $∠ 2$ ?

(b) Is $∠ A O C$
adjacent to $∠ A O E$ ?

(d) Are $∠ B O D$ and $∠ D O A$
supplementary?

(e) is $∠ 1$ vertically opposite to $∠ 4$ ?

(f) What is the vertically opposite angle of $∠ 5$ ?

In the adjoining figure:

(i) Is ∠1 adjacent to ∠2?

(ii) Is ∠AOC adjacent to ∠AOE?

(iii) Do ∠COE and ∠EOD form a linear pair?

(iv) Are ∠BOD and ∠DOA supplementary?

(v) Is ∠1 vertically opposite to ∠4?

(vi) What is the vertically opposite angle of ∠5?

Q. Three different positions X, Y and Z of a dice are shown in the figures given below. Which of the hidden numbers adjacent to

5

in position X is/are common to the hidden numbers adjacent to

5

in position Z?

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A dice is numbered from 1 to 6 in different ways.If 1 is adjacent to 2,3 and 5, then which of the following statements is necessarily true?

The correct option is A 4 is adjacent to 6If 1 is adjacent to 2,3 and 5, then either 4 or 6 lies opposite to 1. So, the numbers 4 and 6 cannot lie opposite to each other. Hence, 4 necessarily lies adjacent to 6.

A dice is numbered from $1$ to $6$ in different ways.
If $1$ is adjacent to $2, 3$ and $5$ , then which of the following statements is necessarily true?

The correct option is A $4$ is adjacent to $6$
If $1$ is adjacent to $2, 3$ and $5$ , then either $4$ or $6$ lies opposite to $1$ . So, the numbers $4$ and $6$ cannot lie opposite to each other. Hence, $4$ necessarily lies adjacent to $6$ .