M is the average of 10 positive integers, from 1 to 100, inclusive. Please state what must be true of M. A. M is not an integer B. M is even C. M is odd D. M >= 6 E. M <= 96
A) it could certainly be an integer right? \[\frac{10+20+30+40+50+60+70+80+90+100}{10}\]
Yes. It could be an integer, so A is certainly not the correct answer. @satellite73
\(\dfrac{1+3+5+7+9+11+13+15+17+19}{10}=10\)
so c is not true, the same with b
But we need more given condition: does the number repeat?
The answer is either D or E. You can figure out that the maximum value is 95.5, and the minimum value is 5.5 However, the answers are as provided. The numbers do not repeat.
When the minimum value is 5.5, and the maximum value is 95.5, and they want you to state that M is either greater than or equal to 6, or M is less than or equal to 96, which do you choose as the correct answer?
Since you have the minimum is 5.5 , so the so-called "Must be greater or equal 6" sounds not good to me.
I was thinking that the answer would be E. Still pisses me off though, since m CAN'T be equal to 96.
\(\leq\) means lesser than OR equal, not AND
so that the result can be lesser OR equal 96, if it can't be 96, it can be lesser. It's true still
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