Magoosh
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Set A: {1, 3, 4, 6, 9, 12, 15}If three numbers are randomly selected from set A without replacement, what is the probability that the sum of the three numbers is divisible by 3?
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Magoosh
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If the numbers $$\frac{19}{36}, \frac{5}{11}, \frac{12}{25},\frac{ 6}{11}, and \frac{8}{18}$$ were arranged from least to greatest, which number would be in the middle?
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Magoosh
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The average (arithmetic mean) of 4 different integers is 75. If the largest integer is 90, what is the least possible value of the smallest integer?
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Magoosh
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$$8^{16}+16^{13}+4^{24}$$=
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Magoosh
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In how many different ways can 3 boys and 3 girls be seated in a row of 6 chairs such that the girls are not separated, and the boys are not separated?
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Magoosh
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The units digit of$$(137^{13})^{47}$$ is:
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Magoosh
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A division of a company consists of seven men and five women. If three of these twelve employees are randomly selected as representatives of the division, what is the probability that the representatives will consist of two females and one male?
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Magoosh
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A sphere is surrounded by the smallest cylinder that will just contain it. Which of following is a complete set of the points where the cylinder touches the sphere?I. One pointII. Two pointsIII. A Circle
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Magoosh
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If for some value of x, $$5^{x} + 5^{–x} = B$$, then which of the following is equal to $$25^{x} + 25^{–x}$$?
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Magoosh
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The ratio of two positive numbers is 3 to 4. If k is added to each number the new ratio will be 4 to 5, and the sum of the numbers will be 117. What is the value of k?
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Magoosh
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If a rectangle has perimeter of 20 and a diagonal with length 9, what is the area of the rectangle?
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Magoosh
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While driving from A-ville to B-town, Harriet drove at a constant speed of 115 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 135 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town?
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Magoosh
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If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the area?
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Magoosh
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The value of $${(1.3333) (0.6666)(1.125)}\over{(0.75)(0.8)(0.8333)}$$is closest to
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Magoosh
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If k is a non-negative integer and $$15^{k }$$is a divisor of 759,325 then $$3^{k} - k^{3} =$$
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Magoosh
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When a certain coin is flipped, the probability of heads is 0.5. If the coin is flipped 6 times, what is the probability that there are exactly 3 heads?
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Magoosh
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Peter invests $100,000 in an account that pays 12% annual interest: the interest is paid once, at the end of the year. Martha invests $100,000 in an account that pays 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's account, approximately how much more does Martha’s account have?
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Magoosh
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A cow is tethered to the corner of a rectangular shed. If the length of the rope is 5, and the shed has length 4 and width 3, what is the maximum area that is accessible to the cow? (The cow cannot enter the shed).
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Magoosh
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$$\sqrt{0.00001}$$=
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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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