State true or false.

The number 117 divisible by 7.

see full answer

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True

False

answer is B.

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Detailed Solution

The given statement is that the number 117 divisible by 7.
We use the rule for checking the divisibility of any number by 7.
It says that we have to subtract twice the end digit of the given number from the resultant number formed by the remaining digits.
When the result of this subtraction is 0 or a multiple of 7, we deduce that the original number is divisible by 7.
We double the last digit of the number to get

7 × 2 = 14

Now, we subtract this result from the resultant number formed by the remaining digits.
11-14 = -3
We know this resultant number is not divisible by 7 as

− 3 ÷ 7

is not equal to a whole number.
So, abiding by the rule of divisibility of any number by 7, we get that 117 is not divisible by 7.
Therefore, the given statement is true.
Hence option (2) is correct.

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