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Magoosh
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A sum of money was distributed among Lyle, Bob and Chloe. First, Lyle received 4 dollars plus one-half of what remained. Next, Bob received 4 dollars plus one-third of what remained. Finally, Chloe received the remaining $32. How many dollars did Bob receive?
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In the xy-coordinate plane, line l passes through the point (-3, 0). Does line I pass through the point $$(0,\frac{3}{4} ) $$?1. The slope of line l is $$\frac{1}{4}$$2. Line l passes through the point (5, 2).
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Each of the numbers a, b, c, d is equal to -1, 0, or 1. What is the value of a + b + c + d?1. $$\frac{a}{2}+\frac{b}{4}+\frac{c}{8}\frac{d}{16}=\frac{1}{8}$$2. $$\frac{a}{4}+\frac{b}{16}+\frac{c}{64}+\frac{d}{256}=\frac{11}{64}$$
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A certain chemical reaction requires $$\frac{4}{7}$$ units of catalyst for every unit of chemical. How many students can perform an experiment if there are $${20}\frac{4}{7}$$ units of catalyst available in the lab, and only one unit of the chemical is required for each student?
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Assume that all beach houses at the waterfront are available for the 4 days indicated and all beach houses in the city are available at their lowest rates during these 4 days.Which one of the following destinations is most likely to have spring break travelers favoring the ROB strategy over the ROWFA strategy?
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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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Jane walked for 4 miles. What was her average speed for the first 2 miles?(1) Jane's average speed for the 4 miles was 3.2 miles per hour. (2) It took Jane 15 minutes longer to walk the second 2 miles than it took her to walk the first 2 miles.
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PREP07 Test 2
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A fast-food company plans to build 4 new restaurants. If there are 12 sites that satisfy the company's criteria for location of new restaurants, in how many different ways can the company select the 4 sites needed for the new restaurants if the order of selection does not matter?
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PREP07 Test 2
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There are 8 magazines lying on a table; 4 are fashion magazines and the other 4 are sports magazines. If 3 magazines are to be selected at random from the 8 magazines, what is the probability that at least one of the fashion magazines will be selected?
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PREP07 Test 2
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A school purchased 2 computers whose prices were $1,000 and $2,000, respectively. The school is to purchase 2 more computers from a list of computers whose prices range from $1,000 to $2,000, inclusive. The greatest possible average (arithmetic mean) price of the 4 computers is how much greater than the least possible average price of the 4 computers?
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PREP07 Test 1
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Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees are women, how many of the possible groups of 4 temporary employees consist of 3 women and 1 man?
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PREP07 Test 1
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A 4-person task force is to be formed from the 4 men and 3 women who work in Company G's human resources department. If there are to be 2 men and 2 women on this task force, how many different task forces can be formed?
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Magoosh
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Bill took 4 math tests, and each test received a score out of 100. What was Bill’s average (arithmetic mean) score for all 4 tests?(1) Bill’s first 3 tests received an average score of 50.(2) Bill’s last 2 tests received an average score of 50.
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Manhattan
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S1 = 7S2 = 10...Sn = 3n + 4For the sequence above, in which any term n is defined as 3n + 4, what is the value of n for the first term in the sequence to exceed 50?
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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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The symbol $$\Delta$$ denotes one of the four arithmetic operations: addition, subtraction, multiplication, or division. If 6 $$\Delta 3 \le 3$$, which of the following must be true? I. 2 $$\Delta$$ 2=0 II. 2 $$\Delta$$ 2=1 III. 4 $$\Delta$$ 2=4
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OG18-定量推理
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A school club plans to package and sell dried fruit to raise money. The club purchased 12 containers of dried fruit, each containing 16$$\frac{3}{4}$$ pounds. What is the maximum number of individual bags of dried fruit, each containing $$\frac{1}{4}$$ pounds, that can be sold from the dried fruit the club purchased?
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OG18-定量推理
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After 4,000 gallons of water were added to a large water tank that was already filled to $$\frac{3}{4}$$ of its capacity, the tank was then at $$\frac{4}{5}$$ of its capacity. How many gallons of water does the tank hold when filled to capacity?
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KMFDS
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Is the standard deviation of the set of measurements $${x}_{1}$$, $${x}_{2}$$, $${x}_{3}$$, $${x}_{4}$$,....$${x}_{20}$$ less than 3 ?(1) The variance for the set of measurements is 4.(2) For each measurement, the difference between the mean and that measurement is 2.
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KMFPS
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When positive integer x is divided by 5, the remainder is 3; and when x is divided by 7, the remainder is 4. When positive integer y is divided by 5, the remainder is 3; and when y is divided by 7, the remainder is 4. If x>y, which of the following must be a factor of x - y?
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