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Which of the following can be odd? I. The sum of 7 consecutive intege
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08 Nov 2021, 06:33
08 Nov 2021, 06:33
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Which of the following can be odd?
I. The sum of 7 consecutive integers
II. The sum of 10 consecutive integers
III. The product of 13 consecutive integers
A. II only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III
I. The sum of 7 consecutive integers
II. The sum of 10 consecutive integers
III. The product of 13 consecutive integers
A. II only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III
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Re: Which of the following can be odd? I. The sum of 7 consecutive intege
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08 Nov 2021, 06:49
08 Nov 2021, 06:49
Carcass wrote:
Which of the following can be odd?
I. The sum of 7 consecutive integers
II. The sum of 10 consecutive integers
III. The product of 13 consecutive integers
A. II only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III
I. The sum of 7 consecutive integers
II. The sum of 10 consecutive integers
III. The product of 13 consecutive integers
A. II only
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III
The key word here is can.
So, if we can find an example that satisfies the given statement, then that statement is possible.
I. The sum of 7 consecutive integers
2+3+4+5+6+7+8 = 35, which is odd.
So, statement I is possible, which means we can eliminate answer choices A and B since they state that statement I is NOT possible
II. The sum of 10 consecutive integers
(-4)+(-3)+(-2)+(-1)+0+1+2+3+4+5 = 5, which is odd.
So, statement II is possible, which means we can eliminate answer choice C since it states that statement II is NOT possible
III. The product of 13 consecutive integers
Every second consecutive integer is EVEN.
So, 13 consecutive integers will include several even integers, which means the product of those integers must be EVEN
So, statement III is NOT possible, which means we can eliminate answer choice E since it states that statement III is possible
Answer: B
gmatclubot
Re: Which of the following can be odd? I. The sum of 7 consecutive intege [#permalink]
08 Nov 2021, 06:49
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