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Founder
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Question Stats:
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19% (01:18) wrong based on 135 sessions
Quantity A |
Quantity B |
\(\frac{1}{4 + \frac{1}{3 + \frac{1}{2}}\) |
\(\frac{1}{2 + \frac{1}{3 + \frac{1}{4}}\) |
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. Kudos for R.A.E
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VP
Joined: 20 Apr 2016
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WE: Engineering (Energy and Utilities)
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Carcass wrote:
Quantity A |
Quantity B |
\(\frac{1}{4 + \frac{1}{3 + \frac{1}{2}}\) |
\(\frac{1}{2 + \frac{1}{3 + \frac{1}{4}}\) |
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. Kudos for R.A.EQTY A = \({\frac{1}{4 + \frac{1}{3 + \frac{1}{2}}} = {\frac{1}{4 + \frac{2}{7}}} = {\frac{1}{28 + \frac{2}{7}}} = {\frac{1}{\frac{30}{7}}} = {\frac{7}{30}}\) QTY B = \({\frac{1}{2 + \frac{1}{3 + \frac{1}{4}}} = {\frac{1}{2 + \frac{4}{13}}} = {\frac{1}{26 + \frac{4}{13}}} = {\frac{1}{\frac{30}{13}}} = {\frac{13}{30}}\) Therefore QTY A < QTY B Option B
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GRE Instructor
Joined: 10 Apr 2015
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Carcass wrote:
Quantity A |
Quantity B |
\(\frac{1}{4 + \frac{1}{3 + \frac{1}{2}}\) |
\(\frac{1}{2 + \frac{1}{3 + \frac{1}{4}}\) |
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. Kudos for R.A.EWe need only recognize that 1/(3 + 1/2) is less than 1 So, 4 + 1/(3 + 1/2) = 4.something Likewise, 1/(3 + 1/4) is less than 1 So, 2 + 1/(3 + 1/2) = 2.something So, we get: Quantity A: 1/(4.something) Quantity B: 1/(2.something) Answer: B Cheers, Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Intern
Joined: 04 Aug 2019
Posts: 16
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GreenlightTestPrep wrote: Carcass wrote:
Quantity A |
Quantity B |
\(\frac{1}{4 + \frac{1}{3 + \frac{1}{2}}\) |
\(\frac{1}{2 + \frac{1}{3 + \frac{1}{4}}\) |
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. Kudos for R.A.EWe need only recognize that 1/(3 + 1/2) is less than 1 So, 4 + 1/(3 + 1/2) = 4.something Likewise, 1/(3 + 1/4) is less than 1 So, 2 + 1/(3 + 1/2) = 2.something So, we get: Quantity A: 1/(4.something) Quantity B: 1/(2.something) Answer: B Cheers, Brent Hi Brent, how do we "recognize that 1/(3 + 1/2) is less than 1 So, 4 + 1/(3 + 1/2) = 4.something Likewise, 1/(3 + 1/4) is less than 1 So, 2 + 1/(3 + 1/2) = 2.something" specifically? I could benefit from seeing how it was worked out fully. Thank you!
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GRE Instructor
Joined: 10 Apr 2015
Posts: 3873
Followers: 159
Kudos [?]:
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JNeen wrote:
Hi Brent, how do we "recognize that 1/(3 + 1/2) is less than 1
So, 4 + 1/(3 + 1/2) = 4.something
Likewise, 1/(3 + 1/4) is less than 1
So, 2 + 1/(3 + 1/2) = 2.something" specifically?
I could benefit from seeing how it was worked out fully. Thank you!
Key concept: If x > 1, then 1/x has a value that's less than 1For example: 1/2 is less than 1 1/4 is less than 1 1/3.1 is less than 1 1/6.5 is less than 1 Conversely, if 0 < x < 1, then 1/x has a value that's greater than 1For example: 1/0.5 is greater than 1 1/0.1 is greater than 1 1/0.25 is greater than 1 etc. 3 + 1/4 = 3.25, and 1/3.25 is less than 1 2 + 1/2 = 2.5, and 1/2.5 is less than 1 So, 4 + 1/(3 + 1/4) = 4 + (some number that's less than 1) = 4.something And, 2 + 1/(3 + 1/2) = 2 + (some number that's less than 1) = 2.something Does that help? Cheers, Brent
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Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course.
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Intern
Joined: 04 Aug 2019
Posts: 16
Followers: 0
Kudos [?]:
6
[0], given: 52
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GreenlightTestPrep wrote: JNeen wrote:
Hi Brent, how do we "recognize that 1/(3 + 1/2) is less than 1
So, 4 + 1/(3 + 1/2) = 4.something
Likewise, 1/(3 + 1/4) is less than 1
So, 2 + 1/(3 + 1/2) = 2.something" specifically?
I could benefit from seeing how it was worked out fully. Thank you!
Key concept: If x > 1, then 1/x has a value that's less than 1For example: 1/2 is less than 1 1/4 is less than 1 1/3.1 is less than 1 1/6.5 is less than 1 Conversely, if 0 < x < 1, then 1/x has a value that's greater than 1For example: 1/0.5 is greater than 1 1/0.1 is greater than 1 1/0.25 is greater than 1 etc. 3 + 1/4 = 3.25, and 1/3.25 is less than 1 2 + 1/2 = 2.5, and 1/2.5 is less than 1 So, 4 + 1/(3 + 1/4) = 4 + (some number that's less than 1) = 4.something And, 2 + 1/(3 + 1/2) = 2 + (some number that's less than 1) = 2.something Does that help? Cheers, Brent No but I got it now. Thanks!
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Founder
Joined: 18 Apr 2015
Posts: 13700
Followers: 305
Kudos [?]:
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Sir, do you have any doubt ?? Regards
_________________
- Do you want all the GRE Prep Club resources at a glance (sort of ) ?? Look at GRE Prep Club Official LinkTree page
- Do you want all the GRE Prep Club FREE resources in one spot ?? Look at Free GRE Materials - Where to get it!! (2020)
- Do you want all the FREE GRE tests on earth ?? Look at FREE GRE Practice Tests [Collection] - New Edition (2021)
- Do you want to know the GRE score in the Top 25 BS in 7 continents ?? Look at here The GRE average score at Top 25 Business Schools 2020 Ed.
- Need Practice 20 Free GRE Quant Tests available for free with 20 Kudos
- GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests.
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