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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
If k is 96% greater than its reciprocal, which of the follow
[#permalink]
04 Jun 2019, 04:57
04 Jun 2019, 04:57
1
1
Bookmarks
00:00
Question Stats:
75% (01:27) correct
25% (01:36) wrong based on 36 sessions
Hide Show timer Statistics
If k is 96% greater than its reciprocal, which of the following is an integer?
A) \(\frac{3k}{7}\)
B) \(\frac{3k}{5}\)
C) \(\frac{5k}{7}\)
D) \(\frac{5k}{3}\)
E) \(\frac{7k}{5}\)
A) \(\frac{3k}{7}\)
B) \(\frac{3k}{5}\)
C) \(\frac{5k}{7}\)
D) \(\frac{5k}{3}\)
E) \(\frac{7k}{5}\)
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If k is 96% greater than its reciprocal, which of the follow
[#permalink]
05 Jun 2019, 04:32
05 Jun 2019, 04:32
1
GreenlightTestPrep wrote:
If k is 96% greater than its reciprocal, which of the following is an integer?
A) \(\frac{3k}{7}\)
B) \(\frac{3k}{5}\)
C) \(\frac{5k}{7}\)
D) \(\frac{5k}{3}\)
E) \(\frac{7k}{5}\)
A) \(\frac{3k}{7}\)
B) \(\frac{3k}{5}\)
C) \(\frac{5k}{7}\)
D) \(\frac{5k}{3}\)
E) \(\frac{7k}{5}\)
k is 96% greater than its reciprocal
The reciprocal of k is 1/k
So, we can write: k = (1/k) + (96% of 1/k)
In other words: k = (1/k) + 0.96(1/k)
Simplify: k = 1.96(1/k)
Simplify: k = 1.96/k
Multiply both sides by k to get: k² = 1.96
Solve: k = 1.4 of k = -1.4
Rewrite as follows: k = 7/5 of k = -7/5
ASIDE: Although it doesn't change the outcome, we can ELIMINATE the solution k = -7/5
Here's why:
If k = -7/5 then 1/k = -5/7
The question tells us that "k is 96% greater than 1/k, but we can see that k is actually less than 1/k (that is: -7/5 < -5/7)
So, k CANNOT equal -7/5
So, it MUST be the case that k = 7/5
Which of the following is an integer?
If k = 7/5, we can see that answer choice C must be an integer.
C) \(\frac{5k}{7}=(k)(\frac{5}{7})=(\frac{7}{5})(\frac{5}{7})=\frac{35}{35}=1\)
Answer: C
Cheers,
Brent
Re: If k is 96% greater than its reciprocal, which of the follow
[#permalink]
03 May 2024, 08:21
03 May 2024, 08:21
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
