Question

A dice is numbered from 1 to 6 in different ways.

If 1 is adjacent to 2, 4 and 6, then which of the following statements is definitely false?

Answer 1

Given :- A dice is numbered from 1 to 6 in different ways. If 1 is adjacent to 2, 4 and 6, then which of the following statements is definitely false ?

A) 2 is opposite to 6

B) 1 is adjacent to 3

C) 3 is adjacent to 5

D) 3 is opposite to 5

Answer :-

given that, in a dice number are from 1 to 6 .

• 1 is adjacent to 2 , 4 and 6

conclusion :- Left numbers are 3 and 5 .

so,

• Either 3 is opposite of 1 or 5 is opposite of 1 . since adjacent 3 sides are already covered with 2, 4 and 6 .
• Therefore , 3 and 5 cannot be opposite to each other .

Hence, we can conclude that, Statement (D) is definitely false .

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