If the set S consists of five consecutive positive integers, what is the sum of these five integers?

(1) The integer 11 is in S, but 10 is not in S.

(2) The sum of the even integers in S is 26.

What is the value of the positive integer n ?

(1) n⁴ < 25

(2) n ≠ n ²

In a certain order, the pretax price of each regular pencil was $0.03, the pretax price of each deluxe pencil was $0.05, and there were 50% more deluxe pencils than regular pencils. All taxes on the order are a fixed percent of the pretax prices. The sum of the total pretax price of the order and the tax on the order was $44.10. What was the amount, in dollars, of the tax on the order?

(1) The tax on the order was 5% of the total pretax price of the order.

(2)The order contained exactly 400 regular pencils.

What was the amount of money donated to a certain charity?

(1) Of the amount donated, 40 percent came from corporate donations.

(2) Of the amount donated, $1.5 million came from noncorporate donations.

If x and y are positive integers, what is the remainder when 10^x + y is divided by 3 ?

(1) x = 5

(2) y = 2

What is the sum of the first four terms of sequence S ?

(1) After the first two terms of S, the value of each term of S is equal to the average (arithmetic mean) of the last two preceding terms.

(2) The average (arithmetic mean) of the first three terms of S is 10.

Is the integer n a prime number?

(1) 24 ≤ n ≤28

(2) n is not divisible by 2 or 3.

What is the value of x ?

(1) x + 1 = 2 - 3x

(2)~$1 \over 2x$~ =2

For a recent play performance, the ticket prices were $25 per adult and $15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for adults?

(1) Revenue from ticket sales for this performance totaled $10,500.

(2) The average (arithmetic mean) price per ticket sold was $21.

If p, s, and t are positive, is |ps - pt| > p(s - t) ?

(1) p < s

(2) s < t