Let S be a set of positive integers such that every element n of S satisfies the conditions A. 1000 <= n <= 1200 B. every digit in n is odd Then how many elements of S are divisible by 3?

Question 25

Let S be a set of positive integers such that every element n of S satisfies the conditions

A. 1000 <= n <= 1200

B. every digit in n is odd

Then how many elements of S are divisible by 3?

Solution

The no. has all the digits as odd no. and is divisible by 3. So the possibilities are

1113
1119
1131
1137
1155
1173
1179
1191
1197
Hence 9 possibilities .

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Let S be a set of positive integers such that every element n of S satisfies the conditions A. 1000 <= n <= 1200 B. every digit in n is odd Then how many elements of S are divisible by 3?

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Let S be a set of positive integers such that every element n of S satisfies the conditions

A. 1000 <= n <= 1200

B. every digit in n is odd

Then how many elements of S are divisible by 3?