In the number '35676382', if 3 is added to the digits before 7 and 2 is subtracted from the digits after 7, how many digits appear after the prime digit in the new number formed?

The correct option is Four.

Step-by-step explanation:

Step 1: Analyze the original number
The given number is 35676382.
- Digits before 7: 3, 5, 6
- The digit 7 itself: 7
- Digits after 7: 6, 3, 8, 2

Step 2: Perform the given operations on the digits
1. Add 3 to each digit before 7:

$3+3=6$

$5+3=8$

$6+3=9$

2. The digit 7 remains unchanged as 7.

3. Subtract 2 from each digit after 7:

$6-2=4$

$3-2=1$

$8-2=6$

$2-2=0$

Combining all modified digits in order gives the new number: 68974160.

Step 3: Identify the prime digit in the new number
Single-digit prime numbers are 2, 3, 5, and 7.
Looking at the digits of the new number 68974160:
- 6, 8, 9, 4, 6, 0 are non-prime digits.
- 1 is neither prime nor composite.
- 7 is the only prime digit.

Step 4: Count the digits following the prime digit
The digits that appear after 7 in 68974160 are 4, 1, 6, and 0.
There are a total of 4 digits after the prime digit.

Hence, the correct answer is Four.