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343
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If p, r, and s are consecutive integers in ascending order and x is the average (arithmetic mean) of the three integers, what is the value of x ?
1.Twice x is equal to the sum of p, r, and s.
2.The sum of p, r, and s is zero.
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344
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If m and n are integers, what is the value of m + n ?
1.$$(x + m)(x + n) = x^{2} + 5x + mn\ and\ x ≠ 0.$$
2.$$mn = 4$$
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345
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In the figure above, RST is a triangle with angle measures as shown and PRTQ is a line segment. What is the value of x + y ?
1.s = 40
2.r = 70
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346
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If R, S, and T are points on a line, and if R is 5 meters from T and 2 meters from S, how far is S from T ?
1.R is between S and T.
2.S is to the left of R, and T is to the right of R.
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347
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Is n equal to zero?
1.The product of n and some nonzero number is 0.
2.The sum of n and 0 is 0.
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348
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On a map,$$\frac{1}{2}$$ inch represents 100 miles. According to this map, how many miles is City X from City Y ?
1.City X is 3 inches from City Y on the map.
2.Cities X and Y are each 300 miles from City Z.
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349
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What is the remainder when the positive integer n is divided by 5 ?
1.When n is divided by 3, the quotient is 4 and the remainder is 1.
2.When n is divided by 4, the remainder is 1.
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350
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If r and s are positive numbers and θ is one of the operations, +, −, *, or ÷, which operation is θ?
1.If r = s, then r θ s = 0.
2.If r ≠ s, then r θ s ≠ s θ r.
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351
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In any sequence of n nonzero numbers, a pair of consecutive terms with opposite signs represents a sign change. For example, the sequence –2, 3, –4, 5 has three sign changes. Does the sequence of nonzero numbers $$s_1$$, $$s_2$$, $$s_3$$, - , $$s_n$$ have an even number of sign changes?
1.$$s_k= (-1)^{k}$$ for all positive integers k from 1 to n.
2.n is odd.
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352
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Jack picked 76 apples. Of these, he sold 4y apples to Juanita and 3t apples to Sylvia. If he kept the remaining apples, how many apples did he keep? (t and y are positive integers.)
1.y ≥ 15 and t = 2
2.y = 17
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353
|
What number is 6 more than x + y ?
1.y is 3 less than x.
2.y is twice x.
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354
|
The total price of 5 pounds of regular coffee and 3 pounds of decaffeinated coffee was $21.50. What was the price of the 5 pounds of regular coffee?
1.If the price of the 5 pounds of regular coffee had been reduced 10 percent and the price of the 3 pounds of decaffeinated coffee had been reduced 20 percent, the total price would have been $18.45.
2.The price of the 5 pounds of regular coffee was $3.50 more than the price of the 3 pounds of decaffeinated coffee.
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355
|
If a and b are integers, is $$a^{5}$$ < $$4^{b}$$ ?
1.$$a^{3}= –27$$
2.$$b^{2} = 16$$
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356
|
If each side of parallelogram P has length 1, what is the area of P ?
1.One angle of P measures 45 degrees.
2.The altitude of P is $$\frac{\sqrt{2}}{2}$$
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357
|
If x is an integer greater than 0, what is the remainder when x is divided by 4 ?
1.The remainder is 3 when x + 1 is divided by 4.
2.The remainder is 0 when 2x is divided by 4.
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358
|
A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed?
1.The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3.
2.The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.
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359
|
Is the average (arithmetic mean) of the numbers x, y, and z greater than z ?
1.z – x < y – z
2.x < z < y
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360
|
Is the point Q on the circle with center C ?
1.R is a point on the circle and the distance from Q to R is equal to the distance from Q to C.
2.S is a point on the circle and the distance from Q to S is equal to the distance from S to C.
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361
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In the figure above, if A, B, and C are the areas, respectively, of the three nonoverlapping regions formed by the intersection of two circles of equal area, what is the value of B + C ?
1.$$A + 2B + C = 24$$
2.$$A + C = 18$$ and $$B = 3$$
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362
|
A company produces a certain toy in only 2 sizes, small or large, and in only 2 colors, red or green. If, for each size, there are equal numbers of red and green toys in a certain production lot, what fraction of the total number of green toys is large?
1.In the production lot, 400 of the small toys are green.
2.In the production lot, $$\frac{2}{3}$$ of the toys produced are small.
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