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Magoosh
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 In the diagram above, O is the center of the circle and angle AOB = 144º. What is the area of the circle?
Statement #1: The area of sector AOB is 40% of the area of the circle
Statement #2: Arc ACB has a length of 14$$\pi$$.
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OG18 OG19 OG20 OG2022
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Of a group of 50 households, how many have at least one cat or at least one dog, but not both? (1) The number of households that have at least one cat and at least one dog is 4. (2) The number of households that have no cats and no dogs is 14.
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OG18-数学分册
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K is a set of numbers such that (i) if x is in K, then -x is in K,and (ii) if each of x and y is in K, then xy is in K.Is 12 in K?(1) 2 is in K.(2) 3 is in K.
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OG19-数学分册
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K is a set of numbers such that
(i) if x is in K, then -x is in K, and
(ii) if each of x and y is in K, then xy is in K.
Is 12 in K?
(1) 2 is in K.
(2) 3 is in K.
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OG20 OG2022
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If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T ?
1.R is between S and T.
2.S is to the left of R, and T is to the right of R.
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PREP07 Test 2
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Robin split a total of $24,000 between two investments, X and Y. If investment Y earns 7 percent simple annual interest, how much of the total did Robin put into investment Y ?(1) Each investment earns the same dollar amount of interest annually.(2) Investment X earns 5 percent simple annual interest.
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Manhattan
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At a certain school, 100 students are in the marching band. If 40% of the students in the orchestra are also in the marching band, how many students are members of neither the orchestra nor the marching band? (1) There are 1000 students in the school. (2) 50 students are in the orchestra.
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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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OG12 OG15 OG16 OG17 OG18
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A scientist recorded the number of eggs in each of 10 birds' nests. What was the standard deviation of the numbers of eggs in the 10 nests?(1)The average (arithmetic mean) number of eggs for the 10 nests was 4.(2)Each of the 10 nests contained the same number of eggs.
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PREP07 Test 2
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At a certain store, each notepad costs x dollars and each marker costs y dollars. If $10 is enough to buy 5 notepads and 3 markers, is $10 enough to buy 4 notepads and 4 markers instead? (1) Each notepad costs less than $1. (2) $10 is enough to buy 11 notepads.
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PREP07 Test 2
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At a two-candidate election for mayor, 3/4 of the registered voters cast ballots. How many registered voters cast ballots for the winning candidate?(1) 25,000 registered voters did not cast ballots in the election.(2) Of the registered voters who cast ballots, 55 percent cast ballots for the winning candidate.
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PREP07 Test 2
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A manufacturer produced x percent more video cameras in 1994 than in 1993 and y percent more video cameras in 1995 than in 1994. If the manufacturer produced 1,000 video cameras in 1993, how many video cameras did the manufacturer produce in 1995 ?(1) xy = 20(2) x + y + xy/100 = 9.2
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Magoosh
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In the coordinate plane, Line H has a positive slope, and Line J never passes through the first quadrant. Which of the following could be true?I. line J is perpendicular to line HII. line J is parallel to line HIII. line J intersects line H on the x-axis
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Magoosh
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A certain aquarium holds three types of fish: angelfish, swordtails and guppies. What is the ratio of the number of guppies to the number of angelfish?(1) There are 200 fish in the aquarium(2) 45 percent of the fish are swordtails, and there are twice as many swordtails as there are angelfish.
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Magoosh
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A drawer contains 36 socks, and 2 socks are selected at random without replacement. What is the probability that both socks are black?(1) The probability is 4/9 that the first sock is black.(2) The number of white socks in the drawer is 4 more than the number of black socks.
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OG19 OG20 OG2022
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Was the amount of Johns heating bill for February greater than it was for January?
(1)The ratio of the amount of John's heating bill for February to that for January was $${\frac{26}{25}}$$ .
(2)The sum of the amounts of John's heating bills for January and February a was$183.60.
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OG21 OG2022
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If all of the six faces of a concrete block are rectangular, what is the volume of the block?
(1) Each of the four lateral faces of the block has an area of 200 square inches.
(2) The top of the block is square and has an area of 400 square inches.
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190215
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A shop only sells fish and shrimp. The businessmen sold 80kg in total yesterday. The weight of the sold fish was three times that of the shrimp. What was the total sales of the sold fish yesterday?
1: The price of fish is $8.25/kg.
2: The price of shrimp is $10/kg.
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Manhattan
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Set A is composed of nine numbers, labeled A1 through A9. Set B is also composed of nine numbers, labeled B1 through B9. Set B is defined as follows: B1 = 1 + A1; B2 = 2 + A2; and so on, including B9 = 9 + A9. How much larger is the sum of set B's elements than the sum of set A's elements?
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Magoosh
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Seven cars of seven different models are going to park in a row of seven side-by-side parking spots for an advertisement. Model P and Model Q must park next to each other, and Model S must be somewhere to the right of Models P & Q. How many possible configurations are there for the cars?
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