Question 948449: I am odd
I am a multiple of 5
I am greater than 28
I am less than 32
What am I?
This is impossible in my books.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616)   (Show Source):
You can put this solution on YOUR website! Make logical decisions about what is included and what is excluded.
ODD:
The number is an integer, and not evenly divisible by 2; meaning an integer ending in 1, 3, 5, 7, or 9.
The number could be ...,-11,-9,-7,-5,-3,-1,1,3,4,5,...
to no end left or right.
MULTIPLE OF 5:
Means any of ...,-15,-10,-5,0,5, 10,15, 20, 25,...
REMEMBER, the number was given as odd; so this means we are evaluating for
...,-15,-5,5,15,25,35,...
GREATER THAN 28:
What are odd numbers greater than 28?
... and multiples of 5?
35,45,55,65,75,...
LESS THAN 32:
BROKEN! The lowest number you have in the set is 35, and this is NOT less than 32. The last two requirements with the set so narrowed are not compatible.
NO SOLUTION.
Answer by MathTherapy(10551)  (Show Source):
You can put this solution on YOUR website! I am odd
I am a multiple of 5
I am greater than 28
I am less than 32
What am I?
This is impossible in my books.
 , with N being the number
The ONLY multiple of 5 that’s between 28 and 32, is 30.
If it's a multiple of 5, greater than 28, but less than 32, then it MUST BE even, and is 30.
If it's ODD, greater than 28, but less than 32, then it's NOT a MULTIPLE of 5.
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