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In the decimal representation of x, where 0 < x < 1, is the tenths digit of x nonzero?(1) 16x is an integer.(2) 8x is an integer.
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 In the figure above, what is the measure of ∠ABC ?(1) BX bisects ∠ABY and BY bisects ∠XBC.(2) The measure of ∠ABX is 40°.
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PREP07 Test 1
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If the product of the three digits of the positive integer k is 14, what is the value of k?(1)k is an odd integer.(2)k < 700
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PREP07 Test 1
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Three friends rented a car for a week and divided the cost equally. What was the total cost of renting the car?(1)If the three friends had kept the car for a second week, they could have obtained the two-week rate, which was 1.5 times the cost of a one-week rental.(2)If a fourth friend had joined the three friends and the cost had been divided equally among the four friends, the cost to each of the original three would have been reduced by $15.
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PREP07 Test 1
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If x is a positive integer, what is the least common multiple of x, 6, and 9 ?(1)The least common multiple of x and 6 is 30.(2)The least common multiple of x and 9 is 45.
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Does x + y = 5?(1)4x + y = 17(2)x +4y =8
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In the xy-plane, at what two points does the graph of y = (x + a)(x + b) intersect the x-axis?(1)a + b = -1(2)The graph intersects the y-axis at (0, -6).
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PREP07 Test 1
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For the students in class A, the range of their heights is r centimeters and the greatest height is g centimeters. For the students in class B, the range of their heights is s centimeters and the greatest height is h centimeters. Is the least height of the students in class A greater than the least height of the students in class B ?(1)$$r\lt s$$(2)$$ g>h $$
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PREP07 Test 1
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Is p + pz = p?(1)P = 0(2)z = 0
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PREP07 Test 1
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If a certain charity collected a total of 360 books, videos, and board games, how many videos did the charity collect?(1)The number of books that the charity collected was 40 percent of the total number of books, videos, and board games that the charity collected.(2)The number of books that the charity collected was $${66}\cdot\frac{2}{3}$$ percent of the total number of videos and board games that charity collected.
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If f is the function defined by f(x) = 2x for $$x \geq 0 $$ and $${f}({x})={x}^{2}$$ for $$x < 0$$, what is the value of f(c) ?(1) $$\mid c\mid= 2$$(2) $$c < 0$$
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Is t between 35 and 55 ?(1) t is between 38 and 49.(2) t is between 42 and 52.
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If x and y are positive integers and r is the remainder when $${3}^{4x+2}+{y}$$ is divided by 10, what is the value of r?(1) x = 25(2) y = 1
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PREP07 Test 2
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In the xy-plane, the line k passes through the origin and through the point (a, b), where ab ≠ 0. Is b positive?(1) The slope of line k is negative.(2) a > b
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OG16 OG17
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At the beginning of the year, the Finance Committee and the Planning Committee of a certain company each had n members, and no one was a member of both committees. At the end of the year, 5 members left the Finance Committee and 3 members left the Planning Committee. How many members did the Finance Committee have at the beginning of the year?(1) The ratio of the total number of members who left at the end of the year to the total number of members at the beginning of the year was 1:6.(2) At the end of the year, 21 members remained on the Planning Committee.
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The tens digit of positive integer X is 3. Is the units digit of X greater than 4?(1) The units digit of 2X is less than the units digit of X.(2) The tens digit of 2X is 7.
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During a 10-week summer vacation, was the average (arithmetic mean) number of books that Carolyn read per week greater than the average number of books that Jacob read per week?(1) Twice the average number of books that Carolyn read per week was greater than 5 less than twice the average number of books that Jacob read per week.(2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob.
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PREP07 Test 2
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The numbers x and y are not integers. The value of x is closest to which integer?(1) 4 is the integer that is closest to x + y.(2) 1 is the integer that is closest to x - y.
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Five students took an exam. The average grade on the exam was 80. What was the median grade?1. The average of the two highest grades was 95.2. The average of the two lowest grades was 65.
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Is ab> 35?1. -4 < a < 3 and -5< b<4.2. a < 5 and b <7.
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