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.
The ratio of 16 to g is equal to the ratio of g to 49.
[#permalink]
19 Aug 2018, 03:02
19 Aug 2018, 03:02
1
Expert Reply
4
Bookmarks
00:00
Question Stats:
34% (00:43) correct
65% (00:44) wrong based on 210 sessions
Hide Show timer Statistics
The ratio of 16 to g is equal to the ratio of g to 49.
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 |
g |
\(28\) |
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The ratio of 16 to g is equal to the ratio of g to 49.
[#permalink]
21 Aug 2018, 11:26
21 Aug 2018, 11:26
2
2
Bookmarks
sandy wrote:
The ratio of 16 to g is equal to the ratio of g to 49.
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 |
g |
\(28\) |
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.
GIVEN: The ratio of 16 to g is equal to the ratio of g to 49.
In other words, 16/g = g/49
Cross multiply to get: g² = (16)(49) [Let's not find this product yet. You'll see why shortly]
Notice that 16 = 4² and 49 = 7²
So, we get: g² = (4²)(7²)
We have a nice rule that says (a^x)(b^x) = (ab)^x
So we can write: g² = 28²
IMPORTANT: Many people will conclude (incorrectly) that g must equal 28
However, we should also note that (-28)² = 28², so g could also equal -28
If g = 28, then Quantity A EQUALS Quantity B
If g = -28, then Quantity B is GREATER THAN Quantity B
Answer: D
Cheers,
Brent
Re: The ratio of 16 to g is equal to the ratio of g to 49.
[#permalink]
19 May 2020, 05:46
19 May 2020, 05:46
2
My question :
If the variable is given as ratio, we don't assume directly that it is positive ?
If the variable is given as ratio, we don't assume directly that it is positive ?
