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Manhattan
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If 2 < 2x < 26, how many possible solutions for x are prime numbers?
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Manhattan
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Points A (-2, 3) and B (1, 7) lie on the coordinate plane. What is the length of line segment AB?
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Manhattan
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The sum of the mean, the median, and the range of the set {1, 2, 6} equals which one of the following values?
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Manhattan
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The number of passengers on a certain bus at any given time is given by the equation$$ P = –2{( S – 4)}^{ 2} + 32$$, where P is the number of passengers and S is the number of stops the bus has made since beginning its route. If the bus begins its route with no passengers, what is the value of S when the bus has its greatest number of passengers?
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Manhattan
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If x is an integer, then x(x – 1)(x – k) must be evenly divisible by three when k is any of the following values EXCEPT
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Manhattan
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In a group of 9 children, there are twice as many girls as boys, and twice as many right-handed people as there are left-handed people. If a third of the boys are left-handed, how many girls are right-handed?
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Manhattan
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A retailer bought a shirt at wholesale and marked it up 80% to its initial retail price of $45. By how many more dollars does he need to increase the price to achieve a 100% markup?
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OG18-定量推理
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How many integers x satisfy both 2 < x ≤ 4 and 0 ≤ x ≤ 3 ?
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OG18-定量推理
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What is the remainder when $$3^{24}$$is divided by 5 ?
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OG18-定量推理
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 The figure shown above consists of three identical circles that are tangent to each other. If the area of the shaded region is $$64\sqrt{3} - 32π$$, what is the radius of each circle?
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OG18-定量推理
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3, k, 2, 8, m, 3The arithmetic mean of the list of numbers above is 4. If k and m are integers and k$$\neq m$$, what is the median of the list?
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OG18-定量推理
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The number 2 ‒ 0.5 is how many times the number 1 ‒ 0.5 ?
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OG18-定量推理
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If $$\frac{x}{4}$$ is 2 more than $$\frac{x}{8}$$, then x =
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OG18-定量推理
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Points A, B, C, and D, in that order, lie on a line. If AB = 3 cm, AC = 4 cm, and BD = 6 cm, what is CD, in centimeters?
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OG18-定量推理
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How many integers between 1 and 16, inclusive, have exactly 3 different positive integer factors?(Note: 6 is NOT such an integer because 6 has 4 different positive integer factors: 1, 2, 3, and 6.)
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OG18-定量推理
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In a certain learning experiment, each participant had three trials and was assigned, for each trial, a score of either –2, –1, 0, 1, or 2. The participant’s final score consisted of the sum of the first trial score, 2 times the second trial score, and 3 times the third trial score. If Anne received scores of 1 and –1 for her first two trials, not necessarily in that order, which of the following could NOT be her final score?
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OG18-定量推理
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A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 20 miles per hour? (1 mile = 5,280 feet)
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OG18-定量推理
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What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal.)
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Magoosh
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If$$\sqrt{17+\sqrt{264}} $$ can be written in the form $$\sqrt{a}+\sqrt{b}$$ , where a and b are integers and b < a, then a - b =
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OG18-定量推理
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If r and s are positive integers such that$$ ({2}^{r})(4^{s}) = 16$$, then $$2r + s =$$
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