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The product of 5 consecutive integers is 0. What is the m
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16 May 2022, 04:08
16 May 2022, 04:08
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The product of 5 consecutive integers is 0. What is the maximum possible value of their sum?
(A) 9
(B) 10
(C) 11
(D) 12
(E) 13
(A) 9
(B) 10
(C) 11
(D) 12
(E) 13
Part of the project: Skill Builder Project for a Q170
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
The product of 5 consecutive integers is 0. What is the m
[#permalink]
16 May 2022, 08:07
16 May 2022, 08:07
1
If the product of something is 0, it must be multiplied by 0. Therefore, one of the five integers must be 0.
That gives the following possibilities for 5 consecutive integers:
0, 1, 2, 3, 4
-1, 0, 1, 2, 3
-2, -1, 0, 1, 2
-3, -2, -1, 0, 1
-4, -3, -2, -1, 0
The one with the largest sum will be the one with all positive numbers, so the first one.
0+1+2+3+4 = 10
Therefore, the correct answer is B.
That gives the following possibilities for 5 consecutive integers:
0, 1, 2, 3, 4
-1, 0, 1, 2, 3
-2, -1, 0, 1, 2
-3, -2, -1, 0, 1
-4, -3, -2, -1, 0
The one with the largest sum will be the one with all positive numbers, so the first one.
0+1+2+3+4 = 10
Therefore, the correct answer is B.
gmatclubot
The product of 5 consecutive integers is 0. What is the m [#permalink]
16 May 2022, 08:07
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