Correct Answer: 0

Solution : The number 3*7440 is divisible by 12, so we can say the number is also divisible by both 4 and 3.
Divisibility law of 4∶ A number is divisible by 4 if its last two digits are divisible by 4.
Divisibility law of 3∶ A number is divisible by 3 if the sum of its digits is divisible by 3.
The last two digits are 40 which means that the number is divisible by 4.
Let the value of * be x.
For checking divisibility by 3 we calculate the sum of numbers.
Sum of the numbers = 3 + x + 7 + 4 + 4 + 0
= 18 + x
for x = 0, the sum is divisible by 3. So, the least value of x is 0.
Hence, the correct answer is 0.