Test the divisibility of each of the following numbers by 9 :
(i) 327 (ii) 7524 (iii) 32022 (iv) 64302 (v) 89361 (vi) 14799 (vii) 66888 (viii) 30006 (ix) 33333

Answer

To test the divisibility of each of the given numbers by 9, we will follow these steps:

1. **Sum the digits of the number.**
2. **Check if the sum is divisible by 9.**
3. **If the sum is divisible by 9, then the original number is also divisible by 9. Otherwise, it is not.**

Now, let's apply this process to each of the numbers provided in the question.

### (i) 327
- **Step 1:** Sum the digits: \(3 + 2 + 7 = 12\)
- **Step 2:** Check divisibility: \(12\) is not divisible by \(9\).
- **Conclusion:** 327 is **not divisible by 9**.

### (ii) 7524
- **Step 1:** Sum the digits: \(7 + 5 + 2 + 4 = 18\)
- **Step 2:** Check divisibility: \(18\) is divisible by \(9\).
- **Conclusion:** 7524 is **divisible by 9**.

### (iii) 32022
- **Step 1:** Sum the digits: \(3 + 2 + 0 + 2 + 2 = 9\)
- **Step 2:** Check divisibility: \(9\) is divisible by \(9\).
- **Conclusion:** 32022 is **divisible by 9**.

### (iv) 64302
- **Step 1:** Sum the digits: \(6 + 4 + 3 + 0 + 2 = 15\)
- **Step 2:** Check divisibility: \(15\) is not divisible by \(9\).
- **Conclusion:** 64302 is **not divisible by 9**.

### (v) 89361
- **Step 1:** Sum the digits: \(8 + 9 + 3 + 6 + 1 = 27\)
- **Step 2:** Check divisibility: \(27\) is divisible by \(9\).
- **Conclusion:** 89361 is **divisible by 9**.

### (vi) 14799
- **Step 1:** Sum the digits: \(1 + 4 + 7 + 9 + 9 = 30\)
- **Step 2:** Check divisibility: \(30\) is not divisible by \(9\).
- **Conclusion:** 14799 is **not divisible by 9**.

### (vii) 66888
- **Step 1:** Sum the digits: \(6 + 6 + 8 + 8 + 8 = 36\)
- **Step 2:** Check divisibility: \(36\) is divisible by \(9\).
- **Conclusion:** 66888 is **divisible by 9**.

### (viii) 30006
- **Step 1:** Sum the digits: \(3 + 0 + 0 + 0 + 6 = 9\)
- **Step 2:** Check divisibility: \(9\) is divisible by \(9\).
- **Conclusion:** 30006 is **divisible by 9**.

### (ix) 33333
- **Step 1:** Sum the digits: \(3 + 3 + 3 + 3 + 3 = 15\)
- **Step 2:** Check divisibility: \(15\) is not divisible by \(9\).
- **Conclusion:** 33333 is **not divisible by 9**.

### Summary of Results:
- 327: Not divisible by 9
- 7524: Divisible by 9
- 32022: Divisible by 9
- 64302: Not divisible by 9
- 89361: Divisible by 9
- 14799: Not divisible by 9
- 66888: Divisible by 9
- 30006: Divisible by 9
- 33333: Not divisible by 9