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We have A= S/n

and: A = 1.2 = 12/10
S > 48
to find n: 12/10 > 48/n
=> 12n > 480
=> n > 40
the least & nearest of n is 41.

Answer D.
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Bunuel
The sum of n numbers is greater than 48. If the average (arithmetic mean) of the n numbers is 1.2, what is the least possible value of n?

A. 38
B. 39
C. 40
D. 41
E. 42


sum of n / no of n = avg
or say
48/1.2= n
n = 40
since sum of n is >48 so avg > 40 , best answer is IMO D 41..
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try this one:
There are n positive integers. The sum of the numbers is greater than 48, while the arithmetic average of the numbers is 1.2. What is the least value of n?(45)
Because n are positive integers, so the sum of n should be integers, hence 1.2×n should be integer.
1.2×41=49.2、1.2×42=50.4、1.2×43=51.6、1.2×44=52.8、1.2×45=54
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