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Tricky one!!

Statement 1-

B:C= 1:3

C can be 3, 6 or 9{as max value of B+C=12}

Insufficient

Statement 2

\(C_{new}\)= \(\frac{2}{5}*{15}\)=6

C can be 3, 4, 5 or 6

Insufficient

Combining 2 statements

C can be 3 or 6

Insufficient



Bunuel
Beerus and Champa are two of the twenty players on a softball team. If twelve runs were scored in a particular game, how many runs did Champa score?

(1) The ratio of the number of runs Beerus scored to those that Champa scored was 1 to 3.
(2) Had 3 more runs been scored, Champa's runs would have represented 2/5 of the total runs scored in the game.


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For option 2, how can you satisfy the equation

c/(t+3) = 2/5 => c/(12+3) = 2/5

And get anything besides c = 6, giving B as the answer?
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In hypothetical case, C scored 6 goals. But we have no idea about how many new added goals are scored by C. Hence, only thing we can inferred from this statement that actual goals scored by C is between 3 and 6 (both inclusive).


AxiomML
For option 2, how can you satisfy the equation

c/(t+3) = 2/5 => c/(12+3) = 2/5

And get anything besides c = 6, giving B as the answer?
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nick1816
In hypothetical case, C scored 6 goals. But we have no idea about how many new added goals are scored by C. Hence, only thing we can inferred from this statement that actual goals scored by C is between 3 and 6 (both inclusive).


AxiomML
For option 2, how can you satisfy the equation

c/(t+3) = 2/5 => c/(12+3) = 2/5

And get anything besides c = 6, giving B as the answer?

I get it now - thanks! Tricky question!
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Hi
Can someone help me, how does it refers to three more scored by Champa and not any other team member... in option B

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Bunuel
Beerus and Champa are two of the twenty players on a softball team. If twelve runs were scored in a particular game, how many runs did Champa score?

(1) The ratio of the number of runs Beerus scored to those that Champa scored was 1 to 3.
(2) Had 3 more runs been scored, Champa's runs would have represented 2/5 of the total runs scored in the game.

I admire the efforts people have made to try to justify the "OE" here, but there is no logical justification for answer E to this question. The answer is B, and this question misunderstands how hypothetical statements on the GMAT work. Here we are asked for Champa's runs, and Statement 2 tells us Champa's runs are 2/5 of 15, so Champa's runs is 6. The posts trying to justify E suggest that perhaps Champa might have scored, say, 3 runs, and then if Champa scored all 3 of the runs mentioned in Statement 2, then Statement 2 would be true. But that makes no sense. If Champa scored 3 runs originally, then "had 3 more runs been scored", then if you think that Champa might have scored some of them, there's no conceivable way to know that Champa would have scored exactly 6 runs. If Champa scored 3 runs, and then you imagine a hypothetical situation where his team scores 3 more runs, all anyone could possibly know is that Champa would end up scoring 3, 4, 5 or 6 runs. Statements need to be true, and there's no way Statement 2 can be true here under the interpretation you'd need to apply to justify the OA, so the interpretation is wrong.

It's an especially misleading question because anyone who thinks answer E is logical here would be obligated to incorrectly choose E to almost every DS question in which a statement poses a hypothetical. If you imagine this question:

The n partners at a firm divide the firm's profits equally at the end of each year. What is n?
1. If the firm had earned $300,000 more in profit in 2020, Satya, one of the firm's partners, would have received an additional $100,000.
2. The firm earned $3,000,000 in profits in 2020.


If this were a question on the actual GMAT, the answer would be A; if the profits go up by $300,000, and Satya earns 1/3 of that, Satya must be earning 1/3 of the total profits, and there must be 3 partners. But if you believe the "logic" behind the question in this thread, you'd presumably pick E, because you'd think "well, if the profits were higher, maybe the number of partners changed too, so I can't answer this question." Or for this question:

Amy is one of ten students in an elementary school class, and the average height of the students in the class is 135 cm. How tall is Amy?
1. If the average height of the students in Amy's class were instead 150 cm, Amy's height would be 28% below the class average.
2. If Amy were removed from the class, the average height of the class would become 138 cm.


the answer is D (in each case, Amy is 108 cm) if this is a real GMAT question. But if you applied the 'logic' behind the question in this thread, then reading Statement 1, presumably you'd think "well, if the average height of the class got bigger, maybe Amy got taller too, so I can't tell how tall she is", and you'd incorrectly think Statement 1 is not sufficient.

On the actual GMAT, when DS Statements like the ones in my two examples above propose a hypothetical situation, you should imagine that these statements also say at the end "if all of the other information remains the same, besides what was changed in the hypothetical scenario described". If we don't imagine statements say that, we could never solve anything.

What is the source?

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