|
411
|
If $$r > 0$$ and $$s > 0$$, is$$\frac{r}{s}<\frac{s}{r}$$ ?(1)$$\frac{r}{3s}=\frac{1}{4}$$(2)$$s = r + 4$$
|
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412
|
If k is an integer such that 56 < k < 66, what is the value of k ?(1) If k were divided by 2, the remainder would be 1(2) If k + 1 were divided by 3, the remainder would be 0.
|
|
413
|
If x is a positive integer, then is x prime?(1) 3x + 1 is prime.(2) 5x + 1 is prime.
|
|
414
|
k, n, 12, 6, 17What is the value of n in the list above?(1)k < n(2)The median of the numbers in the list is 10.
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|
415
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If x and y are integers, what is the value of x + y ?(1) $$3<{\frac{x+y}{2}}<4$$(2) $$2<{x}<{y}<5$$
|
|
416
|
Last year, if Arturo spent a total of $12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes?(1)Last year, the total amount that Arturo spent on his real estate taxes and home insurance was $$33\frac{1}{3}$$ percent of the amount that he spent on his mortgage payments.(2)Last year, the amount that Arturo spent on his real estate taxes was 20 percent of the total amount he spent on his mortgage payments and home insurance.
|
|
417
|
If a, b, c, and d are positive numbers, is $$\frac a b < \frac c d$$ ?(1) $$0<\frac{(c-a)}{(d-b)}$$(2)$$(\frac{ad}{bc})^{2}<{\frac{ad}{bc}}$$
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418
|
Is the number of members of Club X greater than the number of members of Club Y ?(1)Of the members of Club X, 20 percent are also members of Club Y.(2)Of the members of Club Y, 30 percent are also members of Club X.
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419
|
 On the number line above, p, q, r, s, and t are five consecutive even integers in increasing order. What is the average (arithmetic mean) of these five integers?(1)q + s = 24(2)The average (arithmetic mean) of q and r is 11.
|
|
420
|
If [x] denotes the least integer greater than or equal to x, is [x] = 0 ?(1) -1 < x< 1(2) x < 0
|
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421
|
If x and y are integers, is x > y?(1) x+y >0(2) $${y}^{x}$$ < 0
|
|
422
|
If r and s are the roots of the equation $${x}^{2}+{b}{x}+{c}={0}$$, where b and c are constants, is rs < 0 ?(1) b < 0(2) c < 0
|
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423
|
 The figure above represents an L-shaped garden. What is the value of k?(1) The area of the garden is 189 square feet.(2) The perimeter of the garden is 60 feet
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424
|
The only articles of clothing in a certain closet are shirts, dresses, and jacket. The ratio of the number of shirts to the number of dresses to jackets in the closet is 9:4:5, respectively. If there are more than 7 dresses in the closet, what is the total number of articles of clothing in the closet?(1) The total number of shirts and jackets inthe closet is less than 30.(2) The total number of shirts and dresses in the closet is 26.
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425
|
 The figure above represents a circle graph of Company H's total expenses broken down by the expenses for each of its five divisions. If O is the center of the circle and if Company H's total expenses are $5,400,000, what are the expenses for Division R ?(1)x = 94(2)The total expenses for Divisions S and T are twice as much as the expenses for Division R.
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426
|
If x is negative, is $$x < -3$$?(1)$${x}^{2} >{9}$$(2)$${x}^{3}<-{9}$$
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427
|
What is the number of cans that can be packed in a certain carton?(1) The interior volume of this carton is 2,304 cubic inches.(2) The exterior of each can is 6 inches high and has a diameter of 4 inches.
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428
|
 Each of the letters in the table above represents one of the numbers 1, 2, or 3, and each of these numbers occurs exactly once in each row and exactly once in each column. What is the value of r?(1)v + z = 6(2)s + t + u + x = 6
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429
|
Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x > y?(1)y > 4(2)The cost of the 10 kilograms of material K is less than $40.
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430
|
At what speed was a train traveling on a trip when it had completed half of the total distance of the trip?(1)The trip was 460 miles long and took 4 hours to complete.(2)The train traveled at an average rate of 115 miles per hour on the trip.
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