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OG18 OG19 OG20 OG2022	A certain plumber charges $92 for each job completed in 4 hours or less and $23 per hour for each job completed in more than 4 hours. If it took the plumber a total of 7 hours to complete two separate jobs, what was the total amount charged by the plumber for the jobs? (1) The plumber charges $92 for one of the two jobs. (2) The plumber charged $138 for one of the two jobs.
OG18 OG19 OG20 OG2022	If x and y are positive numbers, is $$\frac{x+1}{y+1}>\frac{x}{y}$$?(1) $$x>1$$(2) $$x\lt y$$
OG19 OG20 OG2022	If a and b are positive integers, is $$\frac{a}{b} < \frac{9}{11}$$ ? (1)$$\frac{ a}{b} < 0.818$$ (2)$$\frac{ b}{a} > 1.223$$
OG18 OG19 OG20 OG2022	Every object in a box is either a sphere or a cube,and every object in the box is either red or green. How many objects are in the box? (1) There are six cubes and five green objects in the box. (2) There are two red spheres in the box.
OG18 OG19 OG20 OG2022	If x and y are positive integers, is xy even? (1) $$x^{2} + y^{2} - 1$$ is divisible by 4. (2) x+y is odd.
OG18 OG19 OG20 OG2022	If a and b are integers, is a+b+3 an odd integer? (1) ab is an odd integer.(2) a-b is an even integer.
OG16 OG17 OG18 OG19 OG20 OG2022	If x and y are positive integers, what is the value of $$\sqrt{x}+\sqrt{y}$$ ?(1) x + y = 15(2) $$\sqrt{xy}= 6$$
OG16 OG17 OG18 OG19 OG20 OG2022	A certain truck uses $$\frac{1}{12}$$ + $${k}{v}^{2}$$ gallons of fuel per mile when its speed is v miles per hour, where k is a constant. At what speed should the truck travel so that it uses $$\frac{5}{12}$$ gallon of fuel per mile?(1) The value of k is $$\frac{1}{10800}$$(2) When the truck travels at 30 miles per hour, it uses $$\frac{1}{6}$$ gallon of fuel per mile.
OG20 OG2022	If r and s are positive integers, is r + s even? 1.r is even. 2.s is even.
OG20 OG2022	In the figure above, ∆PQR has angle measures as shown. Is x < y ? 1.PQ = QR 2.PR > QR
OG20 OG2022	If S is a set of odd integers and 3 and –1 are in S, is –15 in S ? 1.5 is in S. 2.Whenever two numbers are in S, their product is in S.
OG20 OG2022	Is the integer x a 3-digit integer? 1. x is the square of an integer. 2. 90 < x < 150
OG20 OG2022	If the 1st term of a sequence is 0 and the 2nd term is 1, is the 5th term 2 ? 1.Each odd-numbered term is either 0 or 2. 2.The 3rd term is 2.
OG20 OG2022	Is the sum of four particular integers even? 1.Two of the integers are odd and two are even. 2.The average (arithmetic mean) of the four integers is an integer.
OG20 OG2022	If a school district paid a total of $35 per desk for x desks and a total of $30 per table for y tables, what was the total amount that the district paid for these desks and tables? 1.The total amount the district paid for the y tables was $900. 2.x = 90, and the total amount the district paid for the x desks was 3.5 times the total amount the district paid for the y tables.
OG20 OG2022	Three children inherited a total of X dollars. If the oldest child inherited $7,000 more than the youngest child, and the youngest child inherited $9,000 less than the middle child, what is the value of X ? 1.The middle child inherited $27,000. 2.The youngest child and the middle child together inherited a total of $45,000.
OG20 OG2022	If xyz ≠ 0, what is the value of $$\frac{x^{4}z^{2}}{z^{2}y^{2}}$$ 1.$$y^{2}=x^{4}$$ 2.$$x = 2$$ and $$y = 4$$
OG20 OG2022	If a and b are integers, and b > 0, does $$\frac{a-1}{b+1}=\frac{a}{b}$$ 1.$$a = b – 4$$ 2.$$a = –b$$
OG20 OG2022	In a sequence of numbers in which each term is 2 more than the preceding term, what is the fourth term? 1.The last term is 90. 2.The first term is 2.
OG20 OG2022	Is the integer p divisible by 5 ? 1.p is divisible by 10. 2.p is not divisible by 15.