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PREP07 Test 1
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If x is an integer, is $$(x^2 + 1)(x + 5)$$ an even number?(1) x is an odd number.(2) Each prime factor of $$x^2$$ is greater than 7.
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PREP07 Test 1
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If p is a positive integer, what is the value of p ?(1) p/4 is a prime number.(2) p is divisible by 3.
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PREP07 Test 1
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Is y < 2x ?(1) $${y\over4} < \frac{x}{2}$$(2) $${(y-2x)\over3 }<0$$
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PREP07 Test 2
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If n is an integer, is n/7 an integer?(1) (3n)/7 is an integer(2) (5n)/7 is an integer.
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PREP07 Test 2
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If a > 0, b > 0, and c > 0, is a(b - c) = 0 ?(1) b – c = c - b(2)$$\frac{b}{c}=\frac{c}{b}$$
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Manhattan
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If Bob, working alone, can paint a certain room in 3 hours, how long does it take Bob and Richard working together to paint the room? (1) Richard, working alone, can paint the room in 2 hours.(2) Richard paints at a constant rate that is 50% greater than the rate at which Bob paints.
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Manhattan
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What is the value of y? (1) 2 x + 2 y = 14 (2) 2 y + 2 z = 14
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Manhattan
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The contents of one full cylindrical silo are to be transferred to another, larger cylindrical silo. The contents of the smaller silo will fill what portion of the larger silo? (1) The larger silo has twice the base radius, and twice the height, of the smaller one. (2) The smaller silo has a circular base with a radius of 10 feet.
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Manhattan
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If Set S = {8, 5, 14, x, 11}, what is the median of Set S? (1) x > 11 (2) x < 14
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Manhattan
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 If BD = CD, what is the degree measure of x + y?(1) v = 74 degrees(2) w = 32 degrees
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Manhattan
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In Greenville last July, what was the average (arithmetic mean) home sale price?(1) In Greenville last July, there were 100 homes sold for a total of $51 million.(2) In Greenville last July, condominiums accounted for 60% of the home sales, and the average condominium price was $450,000.
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Manhattan
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Is x + y > z ?(1) z > y(2) z > x
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Manhattan
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A certain panel is to be composed of exactly three women and exactly two men, chosen from x women and y men. How many different panels can be formed with these constraints?(1) If two more women were available for selection, exactly 56 different groups of three women could be selected.(2) x = y + 1
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Manhattan
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If x is an integer, what is the value of x?(1) 2x – 3 < 5(2) -4x < -8
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Manhattan
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8 cities, including Memphis, are finalists to be chosen to host a political convention. Exactly one city will be chosen to host the convention. What is the probability that Memphis is not chosen?(1) The probability that any one of the 8 cities does not win the competition is 7/8.(2) The probability that Memphis wins the competition is 1/8.
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Manhattan
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If Company X sold 6,000 newspapers last year, how many will it sell this year? (1) Two years ago, Company X sold 5,000 newspapers. (2) Three years ago, Company X sold 4,000 newspapers.
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Manhattan
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If the average weight of the chickens on Farm One is 12 pounds, how many chickens are there on Farm Two?(1) The average weight of the chickens on Farm Two is 13 pounds.(2) The total weight of the chickens on Farm Two is 6 pounds less than the total weight of the chickens on Farm One.
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Manhattan
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Ivan operates an ice cream stand in the summertime, selling exclusively chocolate, vanilla and strawberry cones. On a recent afternoon, the ratio of chocolate to vanilla to strawberry cones sold by Ivan was 6 : 3 : 2. How many cones did Ivan sell on that afternoon? (1) Ivan sold 24 vanilla cones.(2) Ivan sold twice as many chocolate cones as vanilla cones.
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Manhattan
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If 3 years ago Jennifer was 22 years old, how old is Carmen now? (1) 10 years ago, Carmen was twice as old as Jennifer. (2) 10 years from today, Carmen will be 15 years older than Jennifer.
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PREP07 Test 2
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If y≥0, what is the value of x ?(1) |x - 3| ≥ y(2) |x - 3| ≤ -y
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