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题目： If x is an integer, which of the following must be an odd integer?

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题目： If w, x, y, and z are integers such that 1 < w < x < y < z and wxyz = 462, then z =?

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题目： Development planners determined the number of new housing units needed in a certain area by using the formula H = kJ, where H is the number of new housing units needed in the area, J is the number of new jobs to be created in the area, and k is a constant. How many new housing units did the planners determine were needed?(1) The number of new jobs to be created was 60,000.(2) According to the formula used by the planners, if 37,500 jobs were to be created, then 7,500 new housing units would be needed.

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题目： If n = 3k, is k an integer?(1) n is an integer.(2) n/6 is an integer.

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题目： In parallelogram PQRS shown, if PQ = 4 and QR = 6, what is the area of PQRS?

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题目： A certain club has 20 members. What is the ratio of the number of 5-member committees that can be formed from the members of the club to the number of 4-member committees that can be formed from the members of the club?

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题目： (n-x) + (n-y) + (n-c) + (n-k)What is the value of the expression above?(1) The average (arithmetic mean) of x, y, c, and k is n.(2) x, y, c, and k are consecutive integers.

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题目： Of the students in a certain school, 15 percent are enrolled in an art class and 10 percent are enrolled in a music class. What percent of the students in the school are enrolled in neither an art class nor a music class?(1) 2/3 of the students who are enrolled in an art class are also enrolled in a music class.(2) There are more than 100 students in the school.

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题目： P, r, s, t, uAn arithmetic sequence is a sequence in which each term after the first is equal to the sum of the preceding term and a constant. If the list of letters shown above is an arithmetic sequence, which of the following must also be an arithmetic sequence?I 2P, 2r, 2s, 2t, 2uII P-3, r-3, s-3, t-3, u-3III $${P}^{2}$$, $${r}^{2}$$, $${s}^{2}$$, $${t}^{2}$$, $${u}^{2}$$

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题目： Is y – x positive?(1) y>0(2) x = 1 - y

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题目： If –1 < h < 0, which of the following has the greatest value?

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题目： If a company allocates 15 percent of its budget to advertising, 10 percent to capital improvements, and 55 percent to salaries, what fraction of its budget remains for other allocations?

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题目： A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of p square feet of highway, how many gallons of paint will be needed to paint a stripe t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)

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题目： In the sequence of nonzero numbers $${t}_{1}$$, $${t}_{2}$$, $${t}_{3}$$, ..., $${t}_{n}$$, ..., $${t}_{n+1}=\frac{{t}_{n}}{2}$$ for all positive integers n. What is the value of $${t}_{5}$$?(1) $${t}_{3}=\frac{1}{4}$$(2) $${t}_{1}-{t}_{5}=\frac{15}{16}$$

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题目： If 30!/10! is written as the product of consecutive integers, the largest of which is 30, what is the smallest of the integers?