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Average of 6 numbers = 8
Total = 8x6 = 48

Is AM>10?

I. Atleast 23. so the number can be either 23 or greater.

Case 1: 48+23/7 = 71/7 = 10.14>10 - Clearly sufficient.

II. Multiple of 4: 4,8,12,16,20,24

Let's take 2 cases here. 8 & 24

Case 1: 48+8/7 = 56/7 = 8<10
case 2: 48+24/7 = 72/7 = 10.28>10

Clearly insufficient as we got multiple answers for option II.

Therefore A alone is sufficient.

Thank you
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I found a problem in the question. Please correct me if I am wrong.
It is written that the average has to be greater than 10. That would mean that we have to consider a value that should not be equal 10 and should start from 11. If that is true then statement A would also not hold true as the minimum value of the new element would increase. i.e. 29.
Kindly look into this.

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Prerana94
I found a problem in the question. Please correct me if I am wrong.
It is written that the average has to be greater than 10. That would mean that we have to consider a value that should not be equal 10 and should start from 11. If that is true then statement A would also not hold true as the minimum value of the new element would increase. i.e. 29.
Kindly look into this.

EgmatQuantExpert Bunuel

Hello Prerana94,

The average of 6 numbers is 8, thus the sum of these 6 numbers is 48 (average*# of numbers=sum) , statement A says that the 7th number is at least 23 so let's take the worst case scenario (minimum) which is exactly 23, then the new average would be 48+23/7 which is a little bit above 10 so we can answer the question "yes the mean of the 7 numbers will be greater than 10"
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