If N is a 2-digit number, find the value of N? I. N is divisible by 7 but not by 3. II. N leaves remainder 1 when divided by 9.OPTIONS A B C D E

The question is asking for a two-digit number (N) that satisfies two conditions:

I. N is divisible by 7 but not by 3. II. N leaves a remainder of 1 when divided by 9.

Let's solve this step by step:

Step 1: List all two-digit numbers divisible by 7: 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.

Step 2: From this list, remove numbers that are divisible by 3. The remaining numbers are: 14, 35, 49, 77, 91.

Step 3: From these remaining numbers, find the ones that leave a remainder of 1 when divided by 9. The only number that satisfies this condition is 49.

So, the value of N is 49.