### Brain Teasers

# Mad Ade's Fridge

Mad Ade says to Rod Lightning, "Can you figure out how many Kebabs I have in my fridge?" He gives 3 clues to Rod Lightning: If the number of Kebabs I have:-

1, is a multiple of 5, it is a number between 1 and 19.

2, is not a multiple of 8, it is a number between 20 and 29.

3, is not a multiple of 10, it is a number between 30 and 39.

How many Kebabs does Mad Ade have in his fridge?

1, is a multiple of 5, it is a number between 1 and 19.

2, is not a multiple of 8, it is a number between 20 and 29.

3, is not a multiple of 10, it is a number between 30 and 39.

How many Kebabs does Mad Ade have in his fridge?

### Answer

32 Kebabs.Let's apply all 3 conditions separately and put all possible numbers together.

First condition says that if a multiple of 5, then the number is between 1 and 19. Hence, the possible numbers are (5, 10, 15, 21, 22, 23, 24, 26, 27, 28, 29, 31, 32, 33, 34, 36, 37, 38, 39)

Second condition says that if not a multiple of 8, then the number is between 20 and 29. Hence, the possible numbers are (8, 16, 20, 21, 22, 23, 25, 26, 27, 28, 29, 32)

Third condition says that if not a multiple of 10, then the number is between 30 and 39. Hence, the possible numbers are (10, 20, 31, 32, 33, 34, 35, 36, 37, 38, 39)

Only number 32 is there in all 3 result sets. That means that only number 32 satisfies all three conditions. Hence, Mad Ade must have 32 Kebabs in his fridge.

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