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At a two-day seminar, 90 percent of those registered [#permalink]

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07 Mar 2010, 15:21

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Please kindly explain your reasoning.

1. At a two-day seminar, 90 percent of those registered attended the seminar on the first day. What percent of those registered did not attend the seminar on either day?

(1) A total of 1,000 people registered for the two-day seminar. (2) Of those registered, 80 percent attended the seminar on the second day.

2. If p is a prime number greater 2, what is the value of p?

(1) There are a total of 100 prime numbers between 1 and p+1. (2) There are a total of p prime numbers between 1 and 3,912.

3. For each month of the year, Company R's monthly revenue target is x dollars greater than its monthly revenue target for the preceding month. What is Company R's revenue target for March of next year?

(1) Company R's revenue target for December of next year is $310,000 (2) Company R's revenue target for September of next year is $30,000 greater than its revenue target for June of next year.

Statement 1: With the total we can find the number of people registered. With no idea on how many attended on second day of the seminar, we can not determine the percentage of those registered did not attend the seminar on either day. Insufficient. Statement 2: Here we know percentage of people attended on first day and percentage of perople attended on second day out of the registered. We can determine the percent of those registered and did ot attend the seminar on either day. Sufficient.

2. Answer D Statement 1: p>2 and there are total 100 prime numbers between 1 and p+1. We can write all the prime numbers from 2, 3, 5, 7, ......until we reach 100 prime numbers and can find what is P. Sufficient. Statement 2; p>2 and there are total of p prime numbers between 1 and 3,912. Write all the prime numbers from 1 to 3,912 and count the number. This number shall give us P. Because the question stem mentions p is a prime number. So the count should be a prime number. Sufficient.

3. Answer C Statement 1: This statement does not give us any idea of what is x dollars. Insufficient. Statement 2: We can find x dollars from the 30,000, If we know the revenue for June. We do not have any revenue mentioned. Lets revenue for June = y Then July = y+x, Aug = y+x+x, Sep = y+x+x+x. So 3x = 30,000 ==> x = 10000

Insufficient.

Together: We have the revenue for december 310000. And x dollars is 10,000. To get the revenue for March we need to subtract 9X from december revenue.

Statement 1: With the total we can find the number of people registered. With no idea on how many attended on second day of the seminar, we can not determine the percentage of those registered did not attend the seminar on either day. Insufficient. Statement 2: Here we know percentage of people attended on first day and percentage of perople attended on second day out of the registered. We can determine the percent of those registered and did ot attend the seminar on either day. Sufficient.

2. Answer D Statement 1: p>2 and there are total 100 prime numbers between 1 and p+1. We can write all the prime numbers from 2, 3, 5, 7, ......until we reach 100 prime numbers and can find what is P. Sufficient. Statement 2; p>2 and there are total of p prime numbers between 1 and 3,912. Write all the prime numbers from 1 to 3,912 and count the number. This number shall give us P. Because the question stem mentions p is a prime number. So the count should be a prime number. Sufficient.

3. Answer C Statement 1: This statement does not give us any idea of what is x dollars. Insufficient. Statement 2: We can find x dollars from the 30,000, If we know the revenue for June. We do not have any revenue mentioned. Lets revenue for June = y Then July = y+x, Aug = y+x+x, Sep = y+x+x+x. So 3x = 30,000 ==> x = 10000

Insufficient.

Together: We have the revenue for december 310000. And x dollars is 10,000. To get the revenue for March we need to subtract 9X from december revenue.

Sufficient.

Statement 2 is not sufficient because those 10% that didn't attend on the first day could also all have not attended on the second day, or they could all have attended. Knowing the percentages for either day doesn't tell us about both days together.

Re: At a two-day seminar, 90 percent of those registered [#permalink]

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03 Nov 2015, 20:33

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