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                                    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 ? | 
                            
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Answer»  6 1x4 = 2x2 1x6 = 2x3 1x8 = 2x4 2x6 = 3x4 2x8 = 4x4 3x8 = 4x6 After this MARIO tells he doesn't know, that means there are atleast two pair remaining inthe possibilities with the same sum: 1 + 4 = 2 + 3 2 + 8 = 4 + 6 2 + 6 = 4 + 4 1 + 6 = 3 + 4 1 + 8 3 + 8 2 + 2 2 + 4 Now in these 8 there are STILL 2pairs with same product.... 1x6 = 2x3 2x6 = 3x4 2x8 = 4x4 1x4 4x6 Now in the 6 there are atleast 2 PAIRS with same sum... 1 + 6 = 3 + 4 2 + 6 = 4 + 4 2 + 8 2 + 3 Now there are atleast 2 pairs with same sum... 2,6 3,4 1,6 4,4 The product of the possibilities is 12 which will be the answer  | 
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