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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.

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.

Is this D because of 0? I mean with every integer > 0, A is greater, while with n = 0, the two quantities are zero and thus equal. Is it right?

Re: m = 120 % of n [#permalink]
18 Oct 2017, 12:30

Expert's post

This is a kind of question in which you have to do anything but observation. A closer inspection.

You can certainly manipulate the statement such as this way

\(m = \frac{6}{5} (or 120) * n\)

Substitute and you end up with \(\frac{5}{6} * \frac{6}{5} * n\). At this point you do have n.the what ?? you do not have any value for it.

Another way is looking at the stem \(m = 120% * n\) , but you do not have enough information to say N is negative or positive or a fraction along both signs.

Re: m = 120 % of n [#permalink]
06 Dec 2017, 16:32

Carcass wrote:

This is a kind of question in which you have to do anything but observation. A closer inspection.

You can certainly manipulate the statement such as this way

\(m = \frac{6}{5} (or 120) * n\)

Substitute and you end up with \(\frac{5}{6} * \frac{6}{5} * n\). At this point you do have n.the what ?? you do not have any value for it.

Another way is looking at the stem \(m = 120% * n\) , but you do not have enough information to say N is negative or positive or a fraction along both signs.

At this point, you can stop and check D

Hope this helps.

PS: you are right after all

Wrong explanation. Quantity A is Bigger. 6/5 * n can be written as m. and 5/6 m is less than that of m. Quantity A is greater.

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: m = 120 % of n We can write: m = (120/100)n Simplify: m = (6/5)n

Given: Quantity A: (6/5)n Quantity B: (5/6)m

Since we now know that m = (6/5)n, we can replace Quantity A with m to get: Quantity A: m Quantity B: (5/6)m

At this point, we can finish the question using matching operations

Multiply both sides by 6 to get: Quantity A: 6m Quantity B: 5m

Subtract 5m from both sides to get: Quantity A: m Quantity B: 0

If m is positive, then Quantity A is greater If m is negative, then Quantity B is greater If m is zero, then the quantities are equal

Answer: D

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Re: m = 120 % of n
[#permalink]
06 Dec 2017, 17:26