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27 Aug 2025, 22:00
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C
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Difficulty:
5%
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Question Stats:
92% (00:39) correct
8%
(00:35)
wrong
based on 63
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What is the maximum possible value of the mean of three distinct single digit integers?
A. 6
B. 7
C. 8
D. 8.5
E. 9
A. 6
B. 7
C. 8
D. 8.5
E. 9
28 Aug 2025, 01:19
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set of distinct single-digit intergers : {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
The largest single-digit integer is 9.
The second-largest distinct single-digit integer is 8.
The third-largest distinct single-digit integer is 7.
Sum = 7 + 8 + 9 = 24
Mean = Sum / Count = 24 / 3 = 8
IMO : C
The largest single-digit integer is 9.
The second-largest distinct single-digit integer is 8.
The third-largest distinct single-digit integer is 7.
Sum = 7 + 8 + 9 = 24
Mean = Sum / Count = 24 / 3 = 8
IMO : C
28 Aug 2025, 02:51
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There are 10 single digit number (0 to 9).
For maximum Mean value, the numerator should be maximum.
So the last 3 single digit i.e 9, 8 & 7 will provide the max Mean value
Which is:
(9+8+7)/3= 24/3
=8
So Option C
For maximum Mean value, the numerator should be maximum.
So the last 3 single digit i.e 9, 8 & 7 will provide the max Mean value
Which is:
(9+8+7)/3= 24/3
=8
So Option C
