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Prep2007E2-DS-217

If n is a three-digit positive integer, what is the sum of the digits of n ?

(1) The hundreds digit of n is 3 times the units digit.
(2) The hundreds digit of n is 3 more than the tens digit.


Prep2007E2-DS-216

Is the three-digit number n less than 550 ?

(1) The product of the digits in n is 30.
(2) The sum of the digits in n is 10.


Prep2007E2-DS-215

On the number line, the distance between point A and point C is 5 and the distance between point B and point C is 20. Does point C lie between point A and point B ?

(1) The distance between point A and point B is 25.
(2) Point A lies to the left of point B.


Prep2007E2-DS-214

Is the measure of one of the interior angles of quadrilateral ABCD equal to 60 degrees?

(1) Two of the interior angles of ABCD are right angles.
(2) The degree measure of angle ABC is twice the degree measure of angle BCD.


Prep2007E2-DS-213

Linda, Robert, and Pat packed a certain number of boxes with books. What is the ratio of the number of boxes of books that Robert packed to the number of boxes of books that Pat packed?

(1) Linda packed 30 percent of the total number of boxes of books.
(2) Robert packed 10 more boxes of books than Pat did.


Prep2007E2-DS-212

For a certain play performance, adults' tickets were sold for $12 each and children's tickets were sold for $8 each. How many children's tickets were sold for the performance?

(1) The total revenue from the sale of adults' and children's tickets for the performance was $5,040.
(2) The number of adults' tickets sold for the performance was ~$\frac{1}{3}$~ the total number of adults' and children's tickets sold for the performance.


Prep2007E2-DS-211

A certain economics class consists of 50 women and 30 men. How many of the men in the class are business majors?

(1) 40 percent of the women in the class are business majors.
(2) 50 percent of all the people in the class are business majors.


Prep2007E2-DS-210

For each order, a mail-order bookseller charges a fixed processing fee and an additional shipping fee for each book in the order. Rajeev placed five different orders with this bookseller--an order for 1 book in January, an order for 2 books in February, an order for 3 books in March, an order for 4 books in April, and an order for 5 books in May. What was the total of Rajeev's processing and shipping fees for these five orders?

(1) Rajeev's processing and shipping fees were $1.00 more for his order in March than for his order in January.
(2) The total of Rajeev's shipping fees for the five orders was $7.50.


Prep2007E2-DS-209

The cost of each adult's ticket for a certain concert was $30, and the cost of each child's ticket for the concert was $24. If Hannah purchased tickets for this concert, what was the average (arithmetic mean) cost per ticket?

(1) Hannah purchased twice as many children's tickets as adults' tickets.
(2) Hannah purchased 4 children's tickets.


Prep2007E2-DS-208

At a certain store, each notepad costs x dollars and each marker costs y dollars. If $10 is enough to buy 5 notepads and 3 markers, is $10 enough to buy 4 notepads and 4 markers instead?

(1) Each notepad costs less than $1.
(2) $10 is enough to buy 11 notepads.


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