1. Ram says to Shyam, "Can you figure out How many Eggs
I have in my bucket?" He gives 3 clues to Shyam : If the
number of Eggs I have,
i.
Is a multiple of 5, it is a number between 1 and 19
ii.
Is not a multiple of 8, it is a number between 20 and 29
Is not a multiple of 10, it is a number between 30 and 39
How many Eggs does Ram have in his bucket?
Answers
let's apply all 3 conditions separately and put all possible numbers together -
1. first condition says that if multiple of 5 , then the number is between the 1 and 19. hence, the possible numbers are ( 5,10,15,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39)
2. second condition says that if not a multiple of 8 , then the number is between the 20 and 29 . hence , the possible numbers are (8,16,20,21,22,23,25,26,27,28,29,32).
3. third condition says that if not a multiple of 10 , then the number is between the 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 results sets . that means that only number 32 satisfy all three conditions . hence , ram has 32 eggs in his basket.
Given : If the number of Eggs :
i. Is a multiple of 5, it is a number between 1 and 19
ii. Is not a multiple of 8, it is a number between 20 and 29
Is not a multiple of 10, it is a number between 30 and 39
To Find : How many Eggs in bucket?
Solution:
One clue talks about number between 1 to 19
Another talks about 20 to 29
and one more talks about 30 to 39
Hence all numbers are from 1 to 39
if is a multiple of 5, it is a number between 1 and 19
5 , 10 , 15 , 21 , 22 , 23 , 24 , 26 , 27 , 28 , 29 , 31 , 32 , 33 , 34 , 36 , 37 , 38 , 39
not a multiple of 8, it is a number between 20 and 29
8 , 16 , 20 , 21 , 22 , 23 , 25 , 26 , 27 , 28 , 29 , 32
not a multiple of 10, it is a number between 30 and 39
10 , 20 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39
Number 32 is common in all
Hence 32 eggs in the basket
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