In the four-digit number ABCD, each letter represents a unique integer. When A is multiplied by B, the product is odd. When A is multiplied by C, the product is even. Which of the following four-digit numbers is even?A. ABDCB. CABDC. ACDBD. Cannot be determined from the information given.
Accepted Solution
A:
Answer:AStep-by-step explanation:Nice problem.The only way you can get an odd number by multiplying two digits together is if they are both odd.For example 5*7 = 35 which is odd. You cannot find 2 odd numbers that when multiplied will give an even.That means that A and B are both odd.Now if you multiply an odd and an even together, you always get an even. For example 4 * 9 = 36 which is even.Since A is known to be odd, C must be even. So the four digit number you want ends in C.The Answer is A