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.
n is a positive integer
[#permalink]
31 Dec 2022, 01:33
31 Dec 2022, 01:33
Expert Reply
1
Bookmarks
00:00
Question Stats:
50% (01:23) correct
50% (01:31) wrong based on 24 sessions
Hide Show timer Statistics
n is a positive integer
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Quantity A |
Quantity B |
\(\frac{1}{n} - \frac{1}{n+1}\) |
\( \frac{1}{100n }\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given
Re: n is a positive integer
[#permalink]
07 Jan 2023, 16:30
07 Jan 2023, 16:30
can someone explain why is the ans D and not A?
Re: n is a positive integer
[#permalink]
08 Jan 2023, 00:50
08 Jan 2023, 00:50
Expert Reply
The best way is to simplify the stem and see what is going on
\(\frac{1}{n}-\frac{1}{n+1}=\frac{1}{n(n+1)}\)
Now if you pick 1 as number A is 1/2 and B clearly is smaller
But if you use a big number such as n=1,000
We do have
\(\frac{1}{1,000(1,001)}\) and B is \(\frac{1}{100(1,000)}\)
A is a fraction > one million and B is a fraction of 1 million.
therefore A will be SMALLER than B
D is the answer
\(\frac{1}{n}-\frac{1}{n+1}=\frac{1}{n(n+1)}\)
Now if you pick 1 as number A is 1/2 and B clearly is smaller
But if you use a big number such as n=1,000
We do have
\(\frac{1}{1,000(1,001)}\) and B is \(\frac{1}{100(1,000)}\)
A is a fraction > one million and B is a fraction of 1 million.
therefore A will be SMALLER than B
D is the answer
