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Magoosh If x, y and k are integers, is xy divisible by 3?(1) $$y = 2^{16} - 1$$(2) The sum of the digits of x equals $$6^k$$
If a, b, and c are positive integers, what is the remainder after b-a is divided by 3?(1)$$a=c^{3}$$(2)$$b={(c+1)}^{3}$$
190113 If positive integer k is larger than 1. Is $$\frac{k}{3}$$ an integer? (1)$$\frac{12}{k}$$ is an integer. (2)$$\frac{81}{k}$$ is an integer.
PREP07 Test 1 With an awareness that there are connotations associated with the numbers 1 and 2 and the letters A and B, companies conducting consumer taste tests of foods or beverages typically choose numbers such as 697 or 483 to label the products.
Magoosh A box contains only red chips, green chips and blue chips. If a chip is randomly selected from the box, what is the probability that the chip is either red or green?(1) The probability of selecting a green chip is $$\frac{1}{3}$$ (2) The probability of selecting a blue chip is $$\frac{1}{7}$$
OG12 If a total of 84 students are enrolled in two sections of a calculus course, how many of the 84 students are female?(1)$$\frac{2}{3}$$ of the students in Section 1 are female.(2)$$\frac{1}{2}$$ of the students in Section 2 are male.
PREP07 Test 1 If l and k are lines in the xy-plane, is the product of the slopes of l and k equal to -1 ?(1) Line l passes through the origin and the point (1, 2).(2) Line k has x-intercept 4 and y-intercept 2.
PREP07 Test 1 For a certain set of n numbers, where n > 1, is the average (arithmetic mean) equal to the median?(1) If the n numbers in the set are listed in increasing order, then the difference between any pair of successive numbers in the set is 2.(2) The range of the n numbers in the set is 2(n - 1).
If $$x$$ and $$y$$ are positive integers, what is the value of $$x$$?(1)$${3}^{x}{5}^{y}={1},{125}$$(2)$$y = 3$$
What is the greatest common factor of the positive integers j and k?(1)k = j + 1(2)jk is divisible by 5.
OG12 OG15 OG16 OG17 OG18 If n is an integer, is n even?(1)$$n^2 - 1$$ is an odd integer.(2)3n + 4 is an even integer.
Manhattan Is the product of a and b odd?(1) a has exactly 2 factors.(2) b = 2x + 1, where x is an integer.
In the xy-plane, does the point (4, 12) lie on line k?(1)The point (1, 7) lies on line k.(2)The point (-2, 2) lies on line k.
PREP07 Test 1 On the number line, if the number k is to the left of the number t, is the product kt to the right of t ?(1) t < 0(2) k < 1
Ready4

If arc PQR above is a semicircle, what is the length of diameter PR?

(1) a = 4

(2) b = 1
190321 In a rectangular coordinate system, lines r and h both pass through the point (1,-1). The product of the slope of line r and line h is -1. The x-intercept of line r is 3. What is the coordinate of the intersection of line h with the x-axis?
Magoosh A group consists of Canadians, Americans and Mexicans. If the ratio of the number of Canadians to the number of Mexicans is 3 to 2, how many Americans are in the group?(1) The ratio of the number of Mexicans to Americans is 7 to 13.(2) There are fewer than 30 Mexicans.
Magoosh Ann and Bob planted trees on Friday. What is the ratio of the number of trees that Bob planted to the number of trees that Ann planted?(1) Ann planted 20 trees more than Bob planted.(2) Ann planted 10 percent more trees than Bob planted.
Magoosh Throughout last year, a stylish jacket had a full price of P in a certain store. At the beginning of this year, the price of the jacket rose A% percent to this year's full price. Shortly after the beginning of this year, this store had a sale, and Jessica bought the jacket at B% less than this year's current full price, where B > A. How much did Jessica save, buying the jacket this year on sale, as compared to what she would have spent last year?Statement #1: P = $250Statement #2: B – A = 5
Magoosh The Townville museum was open for 7 consecutive days. If the number of visitors each day was 3 greater than the previous day, how many visitors were there on the first day?(1) There were a total of 126 visitors for the 7 days.(2) The number of visitors on the seventh day was three times the number of visitors on the first day.