Question:
If \( a * b \) denotes the greater (maximum) of \( a \) and \( b \), and \( a \cdot b = (a * b) + 3 \), find:
\[ 4 \cdot 7 \]
Options:
- (a) 14
- (b) 31
- (c) 10
- (d) 8
Solution:
Step 1: Find \( 4 * 7 \)
Since \( * \) gives the greater number:
\[ 4 * 7 = 7 \]
Step 2: Apply second operation
\[ 4 \cdot 7 = (4 * 7) + 3 = 7 + 3 = 10 \]
Final Answer:
\[ \boxed{10} \]
Correct Option: (c)