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16 Sep 2014, 00:24
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What is the product of six consecutive integers?
(1) The largest integer in the sequence is 4.
(2) The sequence contains both positive and negative integers.
(1) The largest integer in the sequence is 4.
(2) The sequence contains both positive and negative integers.
16 Sep 2014, 00:24
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Official Solution:
What is the product of six consecutive integers?
(1) The largest integer in the sequence is 4.
Given that 4 is the greatest integer among the 6 consecutive integers, we can determine all 6 integers and subsequently calculate their product. Sufficient.
Just to illustrate, the 6 consecutive integers would be {-1, 0, 1, 2, 3, 4}. Since there is a zero among them, the product will be zero.
(2) The sequence contains both positive and negative integers.
Since a sequence of consecutive integers includes both positive and negative numbers, it must also contain zero. As a result, the product of the integers in the sequence will be zero. Sufficient.
Answer: D
What is the product of six consecutive integers?
(1) The largest integer in the sequence is 4.
Given that 4 is the greatest integer among the 6 consecutive integers, we can determine all 6 integers and subsequently calculate their product. Sufficient.
Just to illustrate, the 6 consecutive integers would be {-1, 0, 1, 2, 3, 4}. Since there is a zero among them, the product will be zero.
(2) The sequence contains both positive and negative integers.
Since a sequence of consecutive integers includes both positive and negative numbers, it must also contain zero. As a result, the product of the integers in the sequence will be zero. Sufficient.
Answer: D
General Discussion
17 Jun 2017, 00:39
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I think this is a high-quality question. This is an awesome question. I seriously faltered on the second statement. Presence of mind is important within the context what are we trying to find
