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403
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Three roommates-Bela, Gyorgy, and Janos-together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income. The amount that Gyorgy saved was exactly $$\frac{1}{3}$$ of the total amount saved by all 3 roommates. What was the total amount saved for the trip by all 3 roommates?
1.Bela had a monthly income of $2,000.
2.Janos saved 1.5 times as much for the trip as Bela.
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404
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Is zp negative?(1) $${p}{z}^{4}< 0$$(2) $$p + {z}^{4} = 14$$
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405
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In each game of a certain tournament, a contestant either loses 3 points or gains 2 points. If Pat had 100 points at the beginning of the tournament, how many games did Pat play in the tournament?(1) At the end of the tournament, Pat had 104 points.(2) Pat played fewer than 10 games.
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406
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At the beginning of the year, the Finance Committee and the Planning Committee of a certain company each had n members, and no one was a member of both committees. At the end of the year, 5 members left the Finance Committee and 3 members left the Planning Committee. How many members did the Finance Committee have at the beginning of the year? (1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6.(2) At the end of the year, 21 members remained on the Planning Committee.
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407
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if xy$$\neq$$0,is $$x^{3}+y^{3}>0$$?
(1)x+y>0
(2)xy>0
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408
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Max purchased a guitar for a total of $624, which consisted of the price of the guitar and the sales tax. Was the sale tax rate greater than 3 percent?(1) The price of the guitar that Max purchased was less than $602.(2) The sales tax for the guitar that Max purchased was less than $30.
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409
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A pentagon with 5 sides of equal length and 5 interior angles of equal measure is inscribed in a circle. Is the perimeter of the pentagon greater than 26 centimeters?
1.The area of the circle is 16π square centimeters.
2.The length of each diagonal of the pentagon is less than 8 centimeters.
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410
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If 2.00X and 3.00Y are 2 numbers in decimal form with thousandths digits X and Y, is 3(2.00X) > 2(3.00Y) ?
1.3X < 2Y
2.X < Y – 3
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411
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The length, width, and height of a rectangular box, in centimeters, are L, W, and H. If the volume of this box is V cubic centimeters and the total area of the 6 sides of this box is A square centimeters, what is the value of $$\frac{V}{A}$$?[br/[
1.At least 2 of L, W, and H are equal to 5.
2.L, W, and H all have the same value.
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412
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What is the sum of a certain pair of consecutive odd integers?(1)At least one of the integers is negative.(2)At least one of the integers is positive.
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413
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Is x = y ?
1.$$\frac{2x}{3} - \frac{y}{3} = \frac{1}{3}$$
2.$$\frac{x}{4}-\frac{y}{4} = 0 $$
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414
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The sum of 4 different odd integers is 64. What is the value of the greatest of these integers?(1) The integers are consecutive odd numbers.(2) Of these integers, the greatest is 6 more than the least.
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415
|
Was the number of books sold at Bookstore X last week greater than the number of books sold at Bookstore Y last week?(1) Last week, more than 1,000 books were sold at Bookstore X on Saturday and fewer than 1,000 books were sold at Booksotre Y on Saturday.(2) Last week, less than 20 percent of the books sold at Bookstore X were sold on Saturday and more than 20 percent of the books sold at Bookstore Y were sold on Saturday.
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416
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A rectangular solid has length, width, and height of L cm, W cm, and H cm, respectively. If these dimensions are increased by x%, y%, and z%, respectively, what is the percentage increase in the total surface area of the solid?
1.L, W, and H are in the ratios of 5:3:4.
2.x = 5, y = 10, z = 20
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417
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A certain list, L, contains a total of n numbers, not necessarily distinct, that are arranged in increasing order. If $$L_1$$ is the list consisting of the first $$n_1$$ numbers in L and $$L_2$$ is the list consisting of the last $$n_2$$ numbers in L, is 17 a mode for L ?
1.17 is a mode for $$L_1$$ and 17 is a mode for $$L_2$$.
2.$$n_1$$ + $$n_2$$ = n
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418
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From May 1 to May 30 in the same year, the balance in a checking account increased. What was the balance in the checking account on May 30 ?(1) If, during this period of time, the increase in the balance in the checking account had been 12 percent, then the balance in the account on May 30 would have been $504.(2) During this period of time, the increase in the balance in the checking account was 8 percent.
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419
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A merchant discounted the sale price of a coat and the sale price of a sweater. Which of the two articles of clothing was discounted by the greater dollar amount?(1) The percent discount on the coat was 2 percentage points greater than the percent discount on the sweater.(2) Before the discounts, the sale price of the coat was $10 less than the sale price of the sweater.
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420
|
If the positive integer n is added to each of the integers 69,94, and 121, what is the value of n?(1) 69 + n and 94 + n are the squares of two consecutive integers.(2) 94 + n and 121 + n are the squares of two consecutive integers.
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421
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If a merchant purchased a sofa from a manufacturer for $400 and then sold it, what was the selling price of the sofa?
1.The selling price of the sofa was greater than 140 percent of the purchase price.
2.The merchant's gross profit from the purchase and sale of the sofa was $$\frac{1}{3}$$ of the selling price.
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422
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Last year, in a certain housing development, the average (arithmetic mean) price of 20 new houses was $160,000. Did more than 9 of the 20 houses have prices that were less than the average price last year?
(1)Last year the greatest price of one of the 20 houses was $219,000.
(2)Last year the median of the prices of the 20 houses was 150,000
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