Question

6.
The number 111 111 111 111 is divisible by
(a)
5 and 11
(b)
9 and 11
(C)
3 and 9
(d)
3 and 11
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Answer 1

option (d)

3 and 11

you can check it yourself.

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Answer 2

( a ) The number 111, 111, 111, 111, is divisible by

Answer

The number 111111111111is divisible by 3 ∵1+1+1+1+1+1+1+1+1+1+1+1=12

12 is divisible by 3 so the number 111, 111, 111, 111, is divisible by 3

The number 111,111,111,111,is divisible by 11 because the difference of the sums of alternating digits is 0

(b) The largest 5-digit number divisible by 11 is 99990. This is sometimes also referred to as the last five digit number divisible by 11 or the greatest 5-digit number divisible by 11. The list of all 5-digit numbers divisible by 11 starts with 10010 and grows in intervals of 11 to 99990.

(c) Co-prime factors of 99 are 9 and 11. Therefore, required number is 114345. Note: The difference of sums of the digits in odd and even places is zero or multiple of 11, then the no. is divisible by 11.

(d) Three digit numbers (3-digit numbers) are numbers that have three digits in them. They range from 100 to 999. Therefore, there are a total of 900 3-digit numbers. Furthermore, a three digit number is divisible by 11 if you divide the three digit number by 11 and you get a whole number with no remainder.

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