Quacky found a paper in which product of two non-zero digits(1 to 8) is given. Similarly,
Mario got sum of the same two numbers and then they are having a conversation.
1. Quacky says "I don't know the numbers".
Mario says "I don't know the numbers".
2. Quacky says "I don't know the numbers".
Mario says "I don't know the numbers".
3. Quacky says "I don't know the numbers".
Mario says "I know the numbers".
What is the product of the numbers ?
(a) 6 (b) 8 (c) 12 (d) 16
Answers
Answer:
12
Step-by-step explanation:
Quacky knows product of two non-zero digits(1 to 8)
Quacky says "I don't know the numbers
=> Product is one of the below
4 = 1 * 4 & 2 *2
6 = 1 *6 & 2*3
8 = 1 *8 & 2 *4
12 = 2 *6 & 3 *4
16 = 2*8 & 4 *4
24 = 3*8 & 4 *6
As for all other products Quacky would have known the digits
so Now Mario know 5 & 7 Digits are not there
Nut Still he does not know the answer
so Sum can be
4 = 1 + 3 or 2 + 2
5 = 1 + 4 or 2 + 3
6 = 2 + 4 or 3 + 3
7 = 1+ 6 or 3 + 4
8 = 2 + 6 or 4 + 4
9 = 1 + 8 or 3 + 6
10 = 2 + 8 or 4 + 6
12 = 4 + 8 or 6 +6
So now Quacky knows that 11 can not be sum hence 3*8 is eliminated
& Quacky still does not know the answer
=> 24 is not the product so 4*6 is also eliminated
Now mario knows that 4+6 = 10 can not be sum
& Mario still does not know the answer
=> 10 is not the sum => 2 + 8 is eliminated
So now Quacky knows that 2*8 is eliminated
& Quacky still does not know the answer
=> 16 is not the product so 4*4 is also eliminated
Now Mario says he knows the number
=> 2 + 6 = 8 is the sum ( as 4 + 4 is already eliminated)
=> Product of Number = 2 * 6 = 12
Step-by-step explanation:
Answer:
As quacky didn't come to know after knowing the product, then