Argen

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C seems very straightforward but none of the other answers can be concluded from the premise.

The answer is D because the premise states "In most cases this happens when patients are willing to be treated in this hospital, which is considerably cheaper compared to others in the region." Therefore raising the price will make Z less cheaper or more expensive than other hospitals. The other answer that is close is E, but charging for followup surgeries won't decrease the # of followups, because "those are surgeries that have to be done".

The answer is E because the argument essentially boils down to: a subset of a whole existed a long time ago, therefore the full set existed a long time ago too. The assumption is that there's some feature of the subset that must suggest it has the potential to be the full set. Therefore the answer is E.

IMO A. The second sentence in the stimulus gives 2 descriptions of the revision: 1) it should happen when the # of firms change, and 2) its purpose is to -maximize- fines. A) and B) both describe a change in the # of firms. The difference between A) and B) is, B) would lower the fines if a revision takes place , whereas A) would increase the fines, because the pollution level has increased so each firm needs to pay more fines. Therefore I think the answer is A.

B is wrong because the evidence states that left-handed > right-handed in terms of frquency, not in terms of numbers.

D for me. The evidence is 1) productivity is down and 2) more employees have cold. The conclusion is giving free cold medicine will surely increase productivity. The assumptions are 1) the employees will take the medicine and 2) people will be more productive after recovering from cold. I can see how assumption 1) leads to C, but assumption 1 depends on assumption 2 for the conclusion to be true, so the latter is the -necessary- assumption. Therefore D strengthens the necessary assumption and is the answer.

I think the answer is A. The question gives xy=0. If |x-y|>0, then either x or y is equal to 0 but not both. 1) If x is not = 0 then y must =0, because xy=0. So 1) is sufficient. 2) y=0, but we still dont know what x is. So it's insufficient.

I think when Q7 and Q5 weren't copied correctly, there are some information missing. For Q9, we can rephrase the question: Question: C+E+P=240. P=? 1) C=0.9E. By subbing 0.9E in for C we still have 2 variables, we still wouldn't know what P is. So not A. 2) C=0.6(E+P). Same reasoning as above, so not B. Both together, we can simplify the question to 1 variable of P, making it solvable. So the answer is C.

1) x^3-x^51 or when -1 2) (x-1)(x+1) When both inequality holds, then -1

Container A contains (12/20)*(1/3)=1/5 alcohol and (12/20)*(2/3)=2/5 water. Container B contains (8/20)*(1/4)=1/10 alcohol and (8/20)*(3/4)=3/10 water. The ratio of alcohol to water is then 1/5+1/10:2/5+3/10=3/10:7/10=3:7.

1. Working together, in 4 hours Bob completes 1/8 of the project, John 2/8 and Craig 5/8. So for John to work alone, he would have to work 4 times as long to complete the project, which means 16 hours. Is this the right answer? 2. Every minute pipe A fills 1/40 of the tank, and pipe B 1/20. They need to fill half the tank. But at the same time, the tank decreases by 1/120 every minute. So We are looking for (1/40+1/20-1/120)x=1/2. Then x=15/2=7.5 minutes.

I think the answer is 80. Lets break down the question into two part. First, given 3 couples, there are 2^3=8 possible ways to choose 3 people who are not married to each other. Second, there are 5 couples, so there are 5C3 = 10 ways to choose 3 couples. Putting it together, there are 2^3*5C3 = 80 possibilities.