GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
For all numbers x,
[#permalink]
Updated on: 27 Dec 2018, 09:48
Updated on: 27 Dec 2018, 09:48
3
Expert Reply
3
Bookmarks
00:00
Question Stats:
62% (01:12) correct
37% (01:12) wrong based on 75 sessions
Hide Show timer Statistics
For all numbers x, \(\boxed {x}\) denotes the value of \(x^3\) rounded to the nearest multiple of ten.
Quantity A |
Quantity B |
\(\boxed{x+1}+ 1\) |
\(\boxed {x} + 1\) |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: For all numbers x,
[#permalink]
17 Mar 2019, 16:34
17 Mar 2019, 16:34
4
Expert Reply
This one's a little bit of an oddball. Clearly, quantity A is going to be larger for positive integers. For instance, if x = 2, then \(\boxed{2+1}\) = \(\boxed{3}\) = \(3^{3}\) = 27, and the closest multiple of 10 is 30. So quantity A = 30 + 1 = 31. When x = 2 in quantity B, though, we get \(\boxed{2}\) = \(2^{3}\) = 8, and the nearest multiple of 10 is 10. So quantity B = 10 + 1 = 11. Hence, quantity A is larger.
However, when x = 0.0001, then each quantity's boxed value will be rounded down to 0 as the nearest multiple of 10. In that case, the quantities are equal.
And when say, x = -2, following the math before, we'd end up with quantity A = -31 and quantity b = -11, making quantity B bigger.
Since we don't know which case is true, the answer is D.
However, when x = 0.0001, then each quantity's boxed value will be rounded down to 0 as the nearest multiple of 10. In that case, the quantities are equal.
And when say, x = -2, following the math before, we'd end up with quantity A = -31 and quantity b = -11, making quantity B bigger.
Since we don't know which case is true, the answer is D.
