vscid wrote:

Everyone who has graduated from TopNotch High School has an intelligence quotient (IQ) of over 120. Most students with an IQ of over 120 and all students with an IQ of over 150 who apply to one or more Ivy League universities are accepted to at least one of them.

The statements above, if true, best support which of the following conclusions?

1]Every graduate of TopNotch High School with an IQ of 150 has been accepted to at least one Ivy-League school.

2]If a person is a high-school graduate and has an IQ of less than 100, he or she could not have been a student at TopNotch High School.

3]If a person has an IQ of 130 and is attending an Ivy-League school, it is possible for him or her to have graduated from TopNotch High School.

4]At least one graduate from TopNotch high school who has applied to at least one Ivy-League university has been accepted to one of them.

5]If a high-school graduate has an IQ of 150 and is not attending an Ivy-League school, then he or she did not apply to one of them.

Responding to a pm:

The question isn't tough. You just need to analyze the words very carefully. It doesn't have any ambiguity.

Argument:

Everyone who graduates from topnotch high school has IQ > 120.

Most > 120 and all > 150 students who apply get accepted to at least one Ivy league university.

1]Every graduate of TopNotch High School with an IQ of 150 has been accepted to at least one Ivy-League school.

We don't know whether every graduate has applied so we cannot say that every graduate has been accepted.

2]If a person is a high-school graduate and has an IQ of less than 100, he or she could not have been a student at TopNotch High School.

All we know is that everyone who

graduates from top notch has IQ > 120. It is possible that someone with IQ = 100 is a student of a top notch high school for a while but graduates from some other school.

3]If a person has an IQ of 130 and is attending an Ivy-League school, it is possible for him or her to have graduated from TopNotch High School.

This statement says that it is possible that an IQ = 130 Ivy league school student graduated from top notch high school. This is true. It is certainly possible. Mind you, it is not essential that an IQ 130 ivy league student must have graduated from a top notch school but it is certainly possible. Hence (C) is the answer.

4]At least one graduate from TopNotch high school who has applied to at least one Ivy-League university has been accepted to one of them.

Not necessary. It is possible that no student from top notch has IQ > 150 or even if there are students with IQ > 150, they may not have applied. We know that most students with IQ > 120 who apply get accepted but it is possible that all those who applied from top notch (and hence had IQ>120) got rejected. (Number of people who applied from top notch could be a very small % of the total number of people with IQ > 120 who applied)

5]If a high-school graduate has an IQ of 150 and is not attending an Ivy-League school, then he or she did not apply to one of them.

Again, if one has IQ > 150 and applies to Ivy league, one gets accepted. Whether one eventually attends the school or not is up to the individual. So a high school graduate with IQ > 150 could have applied (and would have been accepted) but may not be attending the school.

Answer (C)

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