Question 82

In the following question, state whether the given statement is true (T) or false (F).
A number with three or more digits is divisible by 6, if the number formed by its last two digits (i.e. ones and tens) is divisible by 6.

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Solution

False
According to the divisibility test for 6, if a number is divisible by 2 and 3 both, then it is divisible by 6.
Consider the number 432. When it is divided by 6 it gives a quotient of 72.
But the number formed by the tens and units place i.e 32 is not divisible by 6.

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Divisibility Tests for 6

Standard VI Mathematics

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Question 82 In the following question, state whether the given statement is true (T) or false (F). A number with three or more digits is divisible by 6, if the number formed by its last two digits (i.e. ones and tens) is divisible by 6.

False According to the divisibility test for 6, if a number is divisible by 2 and 3 both, then it is divisible by 6. Consider the number 432. When it is divided by 6 it gives a quotient of 72. But the number formed by the tens and units place i.e 32 is not divisible by 6.

Question 82

In the following question, state whether the given statement is true (T) or false (F).
A number with three or more digits is divisible by 6, if the number formed by its last two digits (i.e. ones and tens) is divisible by 6.

False
According to the divisibility test for 6, if a number is divisible by 2 and 3 both, then it is divisible by 6.
Consider the number 432. When it is divided by 6 it gives a quotient of 72.
But the number formed by the tens and units place i.e 32 is not divisible by 6.