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The ratio of 16 to g is equal to ratio of g to 49

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bargoutI
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The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   Updated on: 18 Oct 2021, 10:17
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The ratio of 16 to g is equal to ratio of g to 49


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.

Can be the ratio negative ??
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Official Answer
D

Originally posted by bargoutI on 22 Oct 2020, 21:54.
Last edited by Carcass on 18 Oct 2021, 10:17, edited 9 times in total.
Fixed OA
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Carcass
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   23 Oct 2020, 00:15
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Expert Reply
Could you Sir kindly format the question as it should be ??

like the following

https://gre.myprepclub.com/forum/z-or-20208.html

Please, format it. We do have rules. Follow them


https://gre.myprepclub.com/forum/how-to-po ... 12752.html
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rcpacheco
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   23 Oct 2020, 06:47
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Are you sure C is the right answer?
For me, g=-28 could also works. I think D is the right answer
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anon
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   26 Oct 2020, 02:42
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In such questions where the square root symbol is absent from the question you always consider the positive and negative values.
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   03 Nov 2020, 05:51
rcpacheco wrote:
Are you sure C is the right answer?
For me, g=-28 could also works. I think D is the right answer

exactly, that's what I thought so too. it's D.
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anasp99
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   06 Nov 2020, 16:36
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The answer is C, in the GRE if there is not a negative symbol before the quantity you don't really consider the negative. If it's for example Positive Sqrt(25) then the answer is 5.

If you want negative 5 then it would be Negative Sqrt(5) in which the answer is negative 5.
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   09 Nov 2020, 22:29
What is the ans actually? is it C or D?
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   10 Nov 2020, 00:56
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ishitadatta wrote:
What is the ans actually? is it C or D?


C Sir

we edited the OA in the question
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   16 Dec 2020, 03:53
Carcass wrote:
ishitadatta wrote:
What is the ans actually? is it C or D?


C Sir

we edited the OA in the question

OA should be D
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   18 Oct 2021, 04:52
Which is right? 5lb says its D.

But how can it be that then the result becomes 16:-28?
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The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   18 Oct 2021, 07:31
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\(\frac{16}{g} = \frac{g}{49}\)

\(g^2 = 49*16\)

\(g = 28 \)

Hence answer C
jantje wrote:
Which is right? 5lb says its D.

But how can it be that then the result becomes 16:-28?
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   18 Oct 2021, 10:09
answer is c
and i think this question is Manhattan prep quant book.
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COolguy101
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   19 Oct 2021, 00:46
rx10 wrote:
\(\frac{16}{g} = \frac{g}{49}\)

\(g^2 = 49*16\)

\(g = 28 \)

Hence answer C
jantje wrote:
Which is right? 5lb says its D.

But how can it be that then the result becomes 16:-28?



What is answer sir, you are saying C, OA saying its D, For my knowledge its should C as official guide clearly mention that square root can not be negative. Its pretty confusing. Need help from Quant expert GreenlightTestPrep
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   19 Oct 2021, 02:09
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16/g=g/49

simplify

16/49 that is a positive amount

however wed DO NOT know what g is

D is the answer
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   19 Oct 2021, 04:56
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COolguy101 wrote:
rx10 wrote:
\(\frac{16}{g} = \frac{g}{49}\)

\(g^2 = 49*16\)

\(g = 28 \)

Hence answer C
jantje wrote:
Which is right? 5lb says its D.

But how can it be that then the result becomes 16:-28?



What is answer sir, you are saying C, OA saying its D, For my knowledge its should C as official guide clearly mention that square root can not be negative. Its pretty confusing. Need help from Quant expert GreenlightTestPrep


There is an important difference between the equation x² = 25 and the equation x = √25

There are TWO solutions to the equation x² = 25. Here's why:
We can subtract 25 from both sides of this equation to get: x² - 25 = 0
Factor to get: (x + 5)(x - 5) = 0
So the two solutions are: x = -5 and x = 5

For the equation x = √25, we must recognize that the square root notation tells us to take the positive square root only.
So, √25 = 5
Likewise, √81= 9 and √400 = 20

So it's all about the notation.

The equation g² = (49)(16) doesn't have any square root notation.
So, g = 28 or -28

In general. if we have an equation in the form x² = k (where k > 0), then there are two solutions: x = √k and x = -√k
If we have an equation in the form x = √k, and there is one solution: x = the positive square root of k
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Re: The ratio of 16 to g is equal to ratio of g to 49 [#permalink] New post   19 Oct 2021, 05:16
OK , this is the most useful reply I ever seen, because based on this concept, I see at least one question in any mock test and in official guide too and Now , the idea seems clear. Thank you sir GreenlightTestPrep
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