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If the average (arithmetic mean) of five consecutive negative integers
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25 Apr 2022, 00:00
25 Apr 2022, 00:00
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If the average (arithmetic mean) of five consecutive negative integers is \(2k – 1\), what is the difference between the greatest and least of the five integers?
A. \(4\)
B. \(4k\)
C. \(4k + 4\)
D. 4 - 4k
E. \(4k^2 − 4k\)
A. \(4\)
B. \(4k\)
C. \(4k + 4\)
D. 4 - 4k
E. \(4k^2 − 4k\)
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: If the average (arithmetic mean) of five consecutive negative integers
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25 Apr 2022, 05:43
25 Apr 2022, 05:43
2
Carcass wrote:
If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference between the greatest and least of the five integers?
A. 4
B. 4k
C. 4k + 4
D. 4 - 4k
E. 4k^2 − 4k
A. 4
B. 4k
C. 4k + 4
D. 4 - 4k
E. 4k^2 − 4k
Lots of superfluous information here. In fact, it makes no difference that the integers are negative, and it makes no difference that the average of the numbers is 2k - 1.
For ANY 5 consecutive integers (positive or negative), the difference between the greatest and least value is always 4. Here's why:
Let x = the smallest integer
So, x + 1 = the next integer
x + 2 = the next integer
x + 3 = the next integer
x + 4 = the greatest integer
So, the difference between the greatest and least value = (x + 4) - x = 4
Answer: A
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Re: If the average (arithmetic mean) of five consecutive negative integers
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16 Sep 2022, 22:50
16 Sep 2022, 22:50
1
Given that the average (arithmetic mean) of five consecutive negative integers is 2k – 1 and we need to find the difference between the greatest and least of the five integers
Let the five numbers be x-2, x-1, x , x+1, x+2
Difference between the highest and the lowest number = (x+2) - (X-2) = x + 2 - x + 2 = 4
So, Answer will be A.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
Let the five numbers be x-2, x-1, x , x+1, x+2
Difference between the highest and the lowest number = (x+2) - (X-2) = x + 2 - x + 2 = 4
So, Answer will be A.
Hope it helps!
Watch the following video to Learn the Basics of Statistics
