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300难题
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n = $$2^{4} • 3^{2} • 5^{2}$$ and positive integer d is a divisor of n. is d > $$\sqrt{n}$$ ?
1.d is divisible by 10.
2.d is divisible by 36.
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300难题
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Given a positive number N, when N is rounded by a certain method (for convenience, call it Method Y), the result is $$10^{n}$$ if and only if n is an integer and $$5 *10^{n-1} \leq N < 5*10^{n}$$. In a certain gas sample, there are, when rounded by Method Y, $$10^{21}$$ molecules of $$H_2$$ and also $$10^{21}$$ molecules of $$O_2$$. When rounded by Method Y, what is the combined number of $$H_2$$ and $$O_2$$ molecules in the gas sample ?
1.The number of $$H_2$$ molecules and the number of $$O_2$$ molecules are each less than 3 *$$10^{21}$$.
2.The number of $$H_2$$ molecules is more than mice the number of $$O_2$$ molecules.
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300难题
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If n is an integer, is $$\frac{n}{15}$$ an integer?
1. $$\frac{3n}{15}$$ i s an integer.
2. $$\frac{8n}{15}$$ is an integer.
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300难题
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Can the positive integer n be written as the sum of two different positive prime numbers?
1.n is greater than 3.
2.n is odd.
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300难题
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Exactly 3 deposits have been made in a savings account and the amounts of the deposits are 3 consecutive integer multiples of $7. If the sum of the deposits is between $120 and $170, what is the amount of each of the deposits?
1.The amount of one of the deposits is $49.
2.The amount of one of the deposits is $63.
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300难题
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If m and n are positive integers, what is the value of $$\frac{3}{m}+\frac{n}{4}$$ ?
1.mn=12
2.$$\frac{3}{m}$$ is in lowest terms and $$\frac{n}{4}$$ is in lowest terms.
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300难题
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If x and z are integers: is x + $$z^{2}$$ odd?
1.x is odd and z is even.
2.x -z is odd.
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300难题
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What is the sum of 3 consecutive integers?
1. The sum of the 3 integers is less than the greatest of the 3 integers.
2. Of the 3 integers, the ratio of the least to the greatest is 3.
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300难题
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How many people in Town X read neither the World newspaper nor the Globe newspaper?
1. Of the 2,500 people in Town X,1,000 read no newspaper.
2. Of the people in Town X, 700 read the Globe only and 600 read the World only.
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300难题
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Let S be a set of outcomes and let A and B be events with outcomes in S. Let 〜B denote the set of all outcomes in S that are not in B and let P(A) denote the probability that event A occurs. What is the value of P(A) ?
1.P(AU B) = 0.7
2.P(AU 〜B) = 0.9
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300难题
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State X has a sales tax rate of k percent on all purchases and State Y has a sales tax rate of n percent on all purchases. What is the value of k - n ?
1.The sales tax on a $15 purchase is 30 cents more in State X than in State Y.
2.The sales tax rate in State X is 1.4 times the sales tax rate in State Y.
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300难题
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Is - $$3 \leq x \leq 3$$?
1.$$x^{2}$$ + $$y^{2}$$= 9
2.$$x^{2}$$ + $$ y\leq 9$$
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300难题
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In a certain group of people, the average (arithmetic mean) weight of the males is 180 pounds and of the females, 120 pounds. What is the average weight of the people in the group?
1.The group contains twice as many females as males.
2.The group contains 10 more females than males.
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300难题
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Three dice, each with faces numbered 1 through 6, were tossed onto a game board. If one of the dice turned up 4, what was the sum of the numbers that turned up on all three dice?
1.The sum of two of the numbers that turned up was 10.
2.The sum of two of the numbers that turned up was 11
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OG21 OG2022
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In the xy-coordinate plane above, what are the coordinates of point N?
(1) Triangle MNP is equilateral.
(2) Point M has coordinates（-4,0）.
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OG21 OG20 OG2022
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A certain computer company produces two different monitors, P and Q. In 2010, what was the net profit from the sale of the two monitors?
(1) Of the company's expenses in 2010, rent and utilities totaled $500,000.
(2) In 2010, the company sold 50,000 units of monitor P at $300 per unit and 30,000 units of monitor Q at $650 per unit.
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OG21
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Did the population of Town C increase by at least 100 percent from the year 2000 to the year 2010?
(1) The population of Town C in 2000 was 2/3 of the population in 2005.
(1) The population of Town C increased by a greater number of people from 2005 to 2010 than it did from 2000 to 2005.
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OG21 OG20 OG2022
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At a certain clothing store, customers who buy 2 shirts pay the regular price for the first shirt and a discounted price for the second shirt. The store makes the same profit from the sale of 2 shirts that it makes from the sale of 1 shirt at the regular price. For a customer who buys 2 shirts, what is the discounted price of the second shirt?
(1) The regular price of each of the 2 shirts the customer buys at the clothing store is $16.
(2) The cost to the clothing store of each of the 2 shirts the customer buys is $12.
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181215
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w=3x, z=3x-y. Is w>z？
1：z-y=9
2：x=3
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181215
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What is the median of the numbers in the following table?
1：a=4
2：b=5
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