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271
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Square ABCD is inscribed in circle O. What is the area of square region ABCD?(1) The area of circular region O is 64π.(2) The circumference of circle O is 16π.
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272
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Lines k and m are parallel to each other. Is the slope of line k positive?(1)Line k passes through the point (3, 2).(2)Line m passes through the point (-3, 2).
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273
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In cross section, a tunnel that carries one lane of one-way traffic is a semicircle with radius 4.2 m. Is the tunnel large enough to accommodate the truck that is approaching the entrance to the tunnel?(1) The maximum width of the truck is 2.4 m.(2) The maximum height of the truck is 4 m.
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274
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In a certain group of 50 people, how many are doctors who have a law degree? (1) In a certain group, 36 people are doctors. (2) In a group, 18 people have a law degree.
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275
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Of a group of 50 households, how many have at least one cat or at least one dog, but not both? (1) The number of households that have at least one cat and at least one dog is 4. (2) The number of households that have no cats and no dogs is 14.
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276
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Robin invested a total of $12,000 in two investments, X and Y, so that the investments earned the same amount of simple annual interest .How many dollars did Robin invest in investment Y ?(1) Investment X paid 3 percent simple annual interest, and investment Y paid 6 percent simple annual interest.(2) Robin invested more than $1,000 in investment X.
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277
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In a real estate office that employs n salespeople, f of them are females and x of the females are new employees. What is the value of n?
(1)If an employee were randomly selected from the n employees, the probability of selecting a female would be 2/3
(2)If an employee were randomly selected from the f female employees, the probability of selecting a new employee would be 1/2
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278
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Is $$\frac{x+1}{y+1}$$>$$\frac{x}{y}$$?
(1)$$0 < x < y $$
(2)$$xy > 0$$
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279
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Do at least 60 percent of the students in Pat`s class walk to school?(1) At least 60 percent of the female students in Pat`s class walk to school.(2) The number of students in Pat`s class who walk to school is twice the number of students who do not walk to school.
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280
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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.
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281
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If x and y are positive numbers, is $$\frac{x+1}{y+1}>\frac{x}{y}$$?(1) $$x>1$$(2) $$x\lt y$$
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282
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If a and b are positive integers, is $$\frac{a}{b} < \frac{9}{11}$$ ? (1)$$\frac{ a}{b} < 0.818$$ (2)$$\frac{ b}{a} > 1.223$$
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283
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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.
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284
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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.
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285
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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.
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286
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If x and y are positive integers, what is the value of $$\sqrt{x}+\sqrt{y}$$ ?(1) x + y = 15(2) $$\sqrt{xy}= 6$$
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287
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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.
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288
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On June 1, Mary paid Omar $360 for rent and utilities for the month of June. Mary moved out early, and Omar refunded the money she paid for utilities, but not for rent, for the days in June after she moved out. How many dollars did Omar refund to Mary?
(1)Mary moved out on June 24
(2)The amount Mary paid for utilities was less than 1/5 the amount Mary paid for rent
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289
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If x = 2t and $${y}=\frac{t}{3}$$, what is the value of $${x}^{2}-{y}^{2}$$?(1) $${t}^{2}$$ − 3 = 6(2) $${t}^{3}$$ = −27
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290
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The 10 students in a history class recently took an examination. What was the maximum score on the examination?
(1)The mean of the scores was 75,
(2)The standard deviation of the scores was 5.
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