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The mean of five distinct positive integers is 10.
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09 Sep 2022, 06:10
09 Sep 2022, 06:10
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The mean of five distinct positive integers is 10.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
the largest possible value of one of the integers |
46 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
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GRE Math Essentials (2022)
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GRE Math Essentials (2022)
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GRE - Math Book
Re: The mean of five distinct positive integers is 10.
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09 Sep 2022, 07:05
09 Sep 2022, 07:05
1
The mean of five distinct positive integers is 10.
so lets use four smallest distinct positive integers which will give us the maximum possible value for the 5th integer which we can let be as X for now
four smallest distinct positive integers=1,2,3,4
we know (1+2+3+4+X)/5=10
10+X=50
X=40
so Quantity B is greater
so lets use four smallest distinct positive integers which will give us the maximum possible value for the 5th integer which we can let be as X for now
four smallest distinct positive integers=1,2,3,4
we know (1+2+3+4+X)/5=10
10+X=50
X=40
so Quantity B is greater
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The mean of five distinct positive integers is 10.
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16 Sep 2022, 22:00
16 Sep 2022, 22:00
1
Given that The mean of five distinct positive integers is 10 and we need to find the largest possible value of one of the integers
===============================================================
Theory
[list]‣‣‣ Sum = Mean * Total Number of Numbers
===============================================================
Sum = Mean * Total Number of Numbers = 10 * 5 = 50
Now we have distinct positive numbers in the set So to have the highest number as the largest we can take 4 other numbers as distinct positive numbers
=> Smallest 4 numbers will be 1, 2, 3, 4. Making the Largest number as 50 - 1 - 2 - 3 - 4 = 50 - 10 = 40
Clearly, Quantity B(46) > Quantity A(40)
So, Answer will be B.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
===============================================================
Theory
[list]‣‣‣ Sum = Mean * Total Number of Numbers
===============================================================
Sum = Mean * Total Number of Numbers = 10 * 5 = 50
Now we have distinct positive numbers in the set So to have the highest number as the largest we can take 4 other numbers as distinct positive numbers
=> Smallest 4 numbers will be 1, 2, 3, 4. Making the Largest number as 50 - 1 - 2 - 3 - 4 = 50 - 10 = 40
Clearly, Quantity B(46) > Quantity A(40)
So, Answer will be B.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
