Discussion
If x is an integer, then which of the following is the product of the next two integers greater than 2(x + 1)?
*This question is included in Nova Press: Set B - Substitution, question #11
| (A) |  |
| (B) | ... |
| (C) | ... |
| (D) | ... |
| (E) | ... |
| (F) | ... |
The solution is
Posted: 04/05/2013 06:19
Suppose x=2 none of the answer choices would make sense right
Posted: 04/05/2013 06:53
Hi Hibz,
If x = 2, then 2(x + 1) = 2(2 + 1) = 2(3) = 6.
In this case, the next two integers greater than 2(x + 1) are 7 and 8. Their product is 56.
Now, replacing x with 2 in Choice (A) yields
4(2)^2 + 14(2) + 12 = 16 + 28 + 12 = 56.
No other answer-choice equals 56 when x = 2, so Choice (A) is correct.
Nova Press
If x = 2, then 2(x + 1) = 2(2 + 1) = 2(3) = 6.
In this case, the next two integers greater than 2(x + 1) are 7 and 8. Their product is 56.
Now, replacing x with 2 in Choice (A) yields
4(2)^2 + 14(2) + 12 = 16 + 28 + 12 = 56.
No other answer-choice equals 56 when x = 2, so Choice (A) is correct.
Nova Press