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PREP07 Test 1
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If n is a positive integer and r is the remainder when 4 + 7n is divided by 3, what is the value of r ?(1) n + 1 is divisible by 3.(2) n > 20
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PREP07 Test 2
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in the xy-plane, each point on circle K has nonnegative coordinates and the center of K is the point (4, 7). What is the maximum possible area of K?
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PREP07 Test 2
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After a fisherman sold $$\frac{1}{2}$$ of the fish he had caught and gave away $$\frac{1}{2}$$ of the remaining fish, he had 4 fish left. What was the total number of fish he had caught?
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PREP07 Test 2
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The y-intercept of a line L is 4. If the slope of L is negative, which of the following could be the x-intercept of L ? I. -1 II. 0 III. 6
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PREP07 Test 2
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The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations could be chosen from this menu?
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PREP07 Test 1
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A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created that is made up of 3 senior officers and 1 junior officer, how many different committees are possible?
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PREP07 Test 1
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A list of measurements in increasing order is 4, 5, 6, 8, 10, and x. If the median of these measurements is 6/7 times their arithmetic mean, what is the value of x ?
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PREP07 Test 1
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In the arithmetic sequence $${t}_{1}$$, $${t}_{2}$$, $${t}_{3}$$, ..., $${t}_{n}$$,..., $${t}_{1}= 23$$ and $${t}_{n} = {t}_{n-1}- 3$$ for each $$n > 1$$. What is the value of n when $${t}_{n}=-4$$ ?
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PREP07 Test 1
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In a survey of students, each student selected from a list of 12 songs the 2 songs that the student liked best. If each song was selected 4 times, how many students were surveyed?
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PREP07 Test 1
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If x >$${y}^{2}$$ >$${z}^{4}$$, which of the following statements could be true?I. $$x >{y}>{z}$$II. $$z >{y}>{x}$$III.$$x>{z}>{y}$$
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Manhattan
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When Jessica withdrew $200 from her bank account, her account balance decreased by $$\frac{2}{5}$$. If she deposits an amount equal to$$\frac{ 1}{4}$$ of the remaining balance, what will be the final balance in her bank account?
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Magoosh
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What is the remainder when positive integer n is divided by 4?(1) When n is divided by 8, the remainder is 1.(2) When n is divided by 2, the remainder is 1.
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Magoosh
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Set K consists of 4 integers. What is the median of K?(1) The average (arithmetic mean) of K is 3.(2) The mode of K is 3.
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Magoosh
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The symbol Ω represents one of the following operations: addition, subtraction, multiplication or division. What is the value of 1 Ω 1?(1) 2 Ω 2 = 4(2) 0 Ω 1 = 0
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OG18-定量推理
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If N is a positive odd integer, is N prime?(1) $$N = 2^{k} + 1$$ for some positive integer k.(2) N + 2 and N + 4 are both prime.
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OG18-定量推理
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If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?
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OG18-定量推理
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There are 10 books on a shelf, of which 4 are paperbacks and 6 are hardbacks. How many possible selections of 5 books from the shelf contain at least one paperback and at least one hardback?
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OG18-定量推理
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If a , b, and c are consecutive integers and 0 < a < b < c, is the product abc a multiple of 8?(1) The product ac is even.(2) The product bc is a multiple of 4.
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OG18-定量推理
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The sequence $$a_{1}, a_{2}, a_{3}, a_{4}, a_{5}$$ is such that $$a_{n} = a_{n ‒ 1} + 5$$ for 2 ≤ n ≤ 5. If $$a_{5} = 31$$, what is the value of $$a_{1} $$?
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数论
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If x is a positive integer, is the remainder 0 when $${3}^{x}+{1}$$ is divided by 10?(1)$$x = 4n + 2$$, where n is a positive integer.(2)$$x >4$$
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