Question

Xavier asks Kofi if he can guess how many pancakes he made in the morning. Xavier gives him three clues to guess.
“If the number of pancakes I have is…”
i) is a multiple of 3, it is a number between 1 and 17
ii) is not a multiple of 8, it is a number between 20 and 27
iii) is not a multiple of 12, it is a number between 30 and 37
How many pancakes did Xavier make?

Answer 1

Answer:

i) 12 or 15

ii)21,22,23,25,26

iii)31,32,33,34,35

Answer 2

Given : Xavier asks Kofi if he can guess how many pancakes he made in the morning. Xavier gives him three clues to guess.

“If the number of pancakes I have is…”

i) is a multiple of 3, it is a number between 1 and 17

ii) is not a multiple of 8, it is a number between 20 and 27

iii) is not a multiple of 12, it is a number between 30 and 37

To Find : How many pancakes did Xavier make

Solution:

in all statements numbers between

1 to 17

20 to 27

30 to  37

If the number of pancakes is a multiple of 3, it is a number between 1 and 17

hence it can be  3 , 6 , 9  , 12 , 15

or it can be   22 , 23 , 25 , 26 , 31 , 32 , 34 , 35

is not a multiple of 8, it is a number between 20 and 27

can  be either  21 , 22 , 23 , 25  , 26

or  8  , 16 , 32

is not a multiple of 12, it is a number between 30 and 37

can  be either   31 , 32 , 33 , 34 , 35

or   12  , 24  

only 32  number is present in all cases

Hence 32 pan cakes made

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