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Numbers and Operations
Algebra and Functions
Probability, Averages
200
What is the result when 436921 is rounded to the nearest thousand and then expressed in scientific notation? (A) 4.369 times 10^2 (B) 4.369 times 10^4 (C) 4.37 times 10^4 (D) 4.37 times 10^5 (E) 4.4 times 10^5
What is D
300
The set S consists of all multiples of 6. Which of the following sets are contained within S? I. The set of all multiples of 3 II. The set of all multiples of 9 III. The set of all multiples of 12 (A) I only (B) II only (C) III only (D) I and III only (E) II and III only
What is C
400
At the beginning of 2006, both Alan and Dave were taller than Boris, and Boris was taller than Charles. During the year, Alan grew 2 inches, Boris and Dave each grew 4 inches, and Charles grew 3 inches. Of the following, which could NOT have been true at the beginning of 2007? (A) Alan was shorter than Boris. (B) Alan was shorter than Charles. (C) Boris was shorter than Dave. (D) Dave was shorter than Alan. (E) Dave was shorter than Charles.
What is E
400
If x and y are real numbers and the square of y is equal to the square root of x, which of the following must be true? I. x = y^4 II. x greater than or equal to 0 III. y greater than or equal to 0 (A) I only (B) I and II only (C) I and III only (D) II and III only (E) I, II, and III
B
400
A special lottery is to be held to select the student who will live in the only deluxe room in a dormitory. There are 100 seniors, 150 juniors, and 200 sophomores who applied. Each senior's name is placed in the lottery 3 times; each junior's name, 2 times; and each sophomore's name, 1 time. What is the probability that a senior's name will be chosen? (A) 1/8 (B) 2/9 (C) 2/7 (D) 3/8 (E) 1/2
What is D
500
The positive integer n is not divisible by 7. The remainder when n^2 is divided by 7 and the remainder when n is divided by 7 are each equal to k. What is k? (A) 1 (B) 2 (C) 4 (D) 6 (E) It cannot be determined from the information given.
A
500
A convenience store sells small bottles of juice for 2 dollars each and large bottles of juice for 3 dollars each. Ciara bought 8 bottles of juice at this store and paid 18 dollars. Some of the bottles of juice that she bought were large, and the rest were small. How many small bottles of juice did Ciara buy? (A) Two (B) Three (C) Four (D) Five (E) Six
E