21

Which of the following statements must be true about the average (arithmetic mean)and the median of 5 consecutive integers?
I. The average is one of the integers
II. The median is one of the integers
III. The median equals the average

22

A collection of 16 coins, each with a face value of either 10 cents or 25 cents, has a total face value of $2.35. How many of the coins have a face value of 25 cents?

23

A retailer purchased eggs at $2.80 per dozen and sold the eggs at 3 eggs for $0.90. What was the retailer`s gross profit from purchasing and selling 5 dozen eggs? (1 dozen eggs =12 eggs)

24

In a set of 24 cards, each card is numbered with a different positive integer from 1 to 24. One card will be drawn at random from the set. What is the probability that the card drawn will have either a number that is divisible by both 2 and 3 or a number that is divisible by 7 ?

25

If the circumference of a circle inscribed in a square is 25$$\pi$$,what is the perimeter of the square ?

26

If 1 < x < y < z, which of the following has the greatest value?

27

Set X consists of eight consecutive integers. Set Y consists of all the integers that result from adding 4 to each of the integers in set X and all the integers that result from subtracting 4 from each of the integers in set X. How many more integers are there in set Y than in set X ?

28

Of the following, which is the closest to $$\frac{60.3}{1.03*4.86}$$?

29

Thabo owns exactly 140 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover nonfiction books does Thabo own?

30

If the average (arithmetic mean) of the four numbers 3, 15, 32, and (N + 1) is 18, then N =

31

Abdul, Barb, and Carlos all live on the same straight road, on which their school is also located. The school is halfway between Abdul`s house and Barb`s house. Barb`s house is halfway between the school and Carlos`s house. If the school is 4 miles from Carlos`s house, how many miles is Abdul`s house from Carlos`s house?

32

In the figure shown ,what is the value of x ?

33

During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?

34

Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors?

35

A certain store will order 25 crates of apples. The apples will be of three different varietiesMcIntosh, Rome, and Winesapand each crate will contain apples of only one variety. If the store is to order more crates of Winesap than crates of McIntosh and more crates of Winesap than crates of Rome, what is the least possible number of crates of Winesap that the store will order?

36

A bicycle store purchased two bicycles, one for $250 and the other for $375. and sold both bicycles at a total gross profit of $250. If the store sold one of the bicycles for $450, which of the following could be the stores gross profit from the sale of the other bicycle?

37

In the figure shown, AC = 2 and BD=DC=1. What is the measure of angle ABD?

39

Makoto, Mishi, and Ozuro were paid a total of $780 for waxing the floors at their school. Each was paid in proportion to the number of hours he or she worked. If Makoto worked 15 hours, Mishi worked 20 hours, and Ozuro worked 30 hours, how much was Makoto paid?

40

The figure above shows a path around a triangular piece of land. Mary walked the distance of 8 miles from P to Q and then walked the distance of 6 miles from Q to R. If Ted walked directly from P to R, by what percent did the distance that Mary walked exceed the distance that Ted walked?

41

If X is a positive integer and $$4^{x}$$3=y , which of following CANNOT be value of y?
