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 In the triangle above, is $$x >90$$?(1) $${a}^{2}+{b}^{2}<{15}$$(2)$$c > 4$$
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OG15 OG16 OG17 OG18
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On a recent trip, Mary drove 50 miles. What was the average speed at which she drove the 50 miles?(1) She drove 30 miles at an average speed of 60 miles per hour and then drove the remaining 20 miles at an average speed of 50 miles per hour.(2) She drove a total of 54 minutes.
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If a company allocates 15 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?
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If –1 < h < 0, which of the following has the greatest value?
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(n-x) + (n-y) + (n-c) + (n-k)What is the value of the expression above?(1) The average (arithmetic mean) of x, y, c, and k is n.(2) x, y, c, and k are consecutive integers.
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OG18-数学分册
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The function f is defined for each positive three-digit integer n by $${f}({n})={2}^{x}{3}^{y}{5}^{z}$$, where x, y and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m) = 9f(v), then m-v = ?
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If x + y is an integer, is y an integer?(1)x – y is an integer.(2)x + 2y is an integer.
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OG15
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 In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?
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OG12
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In June 1989, what was the ratio of the number of sales transactions made by Salesperson X to the number of sales transactions made by Salesperson Y?(1) In June 1989, Salesperson X made 50 percent more sales transactions than Salesperson Y did in May 1989.(2) In June 1989, Salesperson Y made 25 percent more sales transactions than in May 1989.
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What is the value of the ratio of x to $${y}^{2}$$?(1) The ratio of $${x}^{2}$$ to y is $$\frac{5}{3}$$.(2) The ratio of x to 1 is $$\frac{5}{3}$$.
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PREP07 Test 2
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If k is a positive integer, is k the square of an integer?(1) k is divisible by 4.(2) k is divisible by exactly 4 different prime numbers.
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$$\frac{0.8^{-5}}{0.4^{-4}}=$$
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OG16 OG17 OG18 OG19 OG20 OG2022
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By what percent was the price of a certain television set discounted for a sale?(1) The price of the television set before it was discounted for the sale was 25 percent greater than the discounted price.(2) The price of the television set was discounted by $60 for the sale.
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Is $$x<{y}$$?(1) The ratio of x to y is $$\frac{7}{9}$$.(2) $$xy >0$$
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In the rectangular coordinate system, points (4, 0) and (-4, 0) both lie on circle C. What is the maximum possible value of the radius of C ?
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OG18-数学分册
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There are 5 cars to be displayed in 5 parking spaces with all the cars facing the same direction. Of the 5 cars, 3 are red, 1 is blue, and 1 is yellow. If the cars are identical except for color, how many different display arrangements of the 5 cars are possible?
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If $${x}^{2}+{y}^{2}={1}$$, is x + y = 1? (1) xy = 0 (2) y = 0
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A certain club has 20 members. What is the ratio of the number of 5-member committees that can be formed from the members of the club to the number of 4-member committees that can be formed from the members of the club?
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Which of the following is NOT equal to the square of an integer?
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If $${x}^{2}={2}{y}^{3}$$ and 2y = 4, what is the value of $${x}^{2}+{y}^{2}$$?
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