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Magoosh
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A box contains 4 red chips and 2 blue chips. If two chips are selected at random without replacement, what is the probability that the chips are different colors?
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Manhattan
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If $ defines a certain operation, is p $ q less than 20?(1) $$ x $ y = 2x^2 - y$$ for all values of x and y(2) p = 4, q = 10
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Magoosh
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On a certain high school athletic team, the ratio of freshmen to sophomores to juniors to seniors is 1:3:4:6. If there are 60 juniors on the team, how many students in total are on the team?
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Bill is 88 years old. How old is Colie?1. 4 years ago Colie was twice as old as Dino will be in 2 years.2. Bill is twice as old as Colie and Dino combined.
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If a and b are positive numbers, is a < c?1.The ratio of a to b is 4:1, and the ratio of b to c is 2:7.2.ab > bc
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The value of the product of u and v is equal to twenty times the ratio of the value obtained by subtracting v from u to the value of v. If v equals 4,what is the value of u?
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If $$w=\frac{1+x\frac{y}{z^2}}{x+y}$$, $${x}=\frac{z}{2}$$, and $${y}={3}\frac{z}{4}$$,what is the value of w in terms of z?
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If m denotes a number to the left of 0 on the number line such that $$m^{4}$$ is less than$$\frac{1}{81}$$ , then the the reciprocal of $$m^{2}$$ must be
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Set S consists of 5 values, not necessarily in ascending order: {4, 8, 12, 16, x}. For how many values of x does the mean of set S equal the median of set S?
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If$$ab\neq0$$ and$$a\neq3b$$ , what is the value of$${4a+6b}\over{a+3b}$$(1)a-3b = 6(2)$$2{{a}\over{a+3b}}=4$$
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Positive integer n leaves a remainder of 4 after division by 6 and a remainder of 3 after division by 5. If n is greater than 30, what is the remainder that n leaves after division by 30?
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If the product of a and b is strictly positive, is the sum of a and b greater than zero?1. $${b} >{a}^{4}$$2. b = 5a
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A poll reveals that the average (arithmetic mean) income of 10 households is $25,000. If 6 of the households have incomes of $30,000 each, what is the average income of the other 4 households?
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What is the ratio of x to y?(1) The ratio of x to 2y is 4 to 3.(2) The ratio of 3x to y is 8 to 1.
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PREP07 Test 1
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Is r to the right of -6 on the number line?(1) r is between -4 and -1 on the number line.(2) r is between -3 and 1 on the number line.
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Is r to the right of -6 on the number line?(1) r is between -4 and -1 on the number line.(2) r is between -3 and 1 on the number line.
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PREP07 Test 2
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What is the median of a certain set of 7 numbers? (1) 3 of the numbers are less than 10. (2) 4 of the numbers are greater than 10.
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PREP07 Test 2
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If K is a positive three-digit integer, what is the hundreds digit of K ? (1) The hundreds digit of K + 150 is 4. (2) The tens digit of K + 25 is 7.
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PREP07 Test 2
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In the xy-plane, point P has coordinates (a, b) and point Q has coordinates (c, d). What is the distance between P and Q ?(1) b - d = 4(2) a - c = 3
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PREP07 Test 2
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If k is a positive integer and the tens digit of k + 5 is 4, what is the tens digit of k ?(1) k > 35 (2) The units digit of k is greater than 5.
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