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If 2, 4, 6, and 9 are the digits of two 2-digit integers, what is the least possible positive difference between the integers?
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In the figure, all intersecting line segments meet at right angles. Which of the following represents the perimeter of the figure in terms of x ?
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A certain experiment has only three possible outcomes. The probabilities of the outcomes are p, r, and s. If r=1-3p, what is s in terms of p ?
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When the positive integer d is divided by 12, the remainder is 5. What is the remainder when $$d^{2}$$ is divided by 8 ?
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If 75 percent of the commuters were local commuters and if 20 percent of the local commuters used buses as their primary mode of transportation, what percent of all commuters who used buses as their primary mode of transportation were local commuters?
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For commuters who used car pools as their primary mode of transportation, the average (arithmetic mean) number of commuters per car pool vehicle was 2.5. Which of the following is closest to the total number of car pool vehicles for these commuters?
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From June 2016 to December 2016, the total number of commuters increased by x percent while the percent of commuters who used trains as their primary mode of transportation remained the same. If the number of commuters who used trains as their primary mode of transportation increased by 16,000 from June to December, what is the value of x ?
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The sale price of a certain radio is 25 percent less than the list price and 40 percent greater than the wholesale price of the radio. If the wholesale price of the radio is $30, what is the list price of the radio?
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A list consists of three different positive integers whose sum is 10.
Which of the following statements individually provide(s) sufficient additional information to determine the value of the greatest integer in the list?
Indicate all such statements.
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A group of n college students bought three identical round cakes to share. They divided the first cake into equal-sized pieces, one piece for each of them. They did the same with the second cake. After 3 of the students decided they did not want any more cake, the remaining students divided the third cake into equal-sized pieces, one piece for each of them. If Silvia received 1 piece from each of the three cakes, then, in terms of n, the amount of cake that she received was the same as what fraction of 1 cake?
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In the figure, lines k, l, and m intersect at a single point, which is the vertex of all the angles shown.
If x=z, y=2w, and v=110 , what is the ratio of x to w ?
Give your answer as a fraction.
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0< x < y < 1
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Quantity A:N
Quantity B:$$\frac{1}{2}$$
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Last Monday, James paid $8.00 per share for 180 shares of Stock X, paid $10.00 per share for 160 shares of Stock Y, paid $12.00 per share for 200 shares of Stock Z, and bought no other shares of stock.
Quantity A:The average (arithmetic mean) price per share that James paid for all of the shares of stock he bought last Monday
Quantity B:$10.00
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2x+cy=10
6x+2cy=40
The system of equations shown has a solution, where c is a constant.Quantity A:c
Quantity B:1
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The average (arithmetic mean) of the 6 numbers q, r, s, t, u, and v is 36.
Quantity A:$$\frac{q}{6}+\frac{r}{6}+\frac{s}{6}+\frac{t}{6}+\frac{u}{6}+\frac{v}{6}$$
Quantity B:6
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Quantity A:x+y+z
Quantity B:360
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In the figure shown, two rectangular regions overlap to form a triangular region, which is shaded. The perimeters of the rectangles are 15 and 21, and the perimeter of the triangle is 6.
Quantity A:The sum of the lengths of the thick line segments
Quantity B:30
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x and y are integers.
$$ 2^{x}-3y=20 $$
Quantity A:y
Quantity B:0
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