Number of integers greater than 7000 and divisible by 5 that can be formed using only the digits 3, 6, 7, 8 and 9, no digit being repeated, is

Options

A. 46
B. 48
C. 72
D. 42

Answer

To solve the problem of finding the number of integers greater than 7000 and divisible by 5 that can be formed using the digits 3, 6, 7, 8, and 9 without repeating any digits, we can follow these steps:

### Step 1: Understand the conditions
We need to form integers that:
1. Are greater than 7000.
2. Are divisible by 5.
3. Use the digits 3, 6, 7, 8, and 9 without repetition.

### Step 2: Determine the last digit for divisibility by 5
Since the only digits available are 3, 6, 7, 8, and 9, and none of them is 0 or 5, we cannot have a unit digit of 0 or 5. Therefore, we cannot form any number that meets the criteria of being divisible by 5.

### Step 3: Conclusion
Since there are no digits available that can make the number divisible by 5, the answer is that there are **0 integers** that can be formed under these conditions.

### Final Answer
The number of integers greater than 7000 and divisible by 5 that can be formed using the digits 3, 6, 7, 8, and 9, with no digit being repeated, is **0**.

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