|
363
|
Is quadrilateral PQRS a parallelogram?
1.Adjacent sides PQ and QR have the same length.
2.Adjacent sides RS and SP have the same length.
|
|
364
|
In the figure above, the vertices of ∆OPQ and ∆QRS have coordinates as indicated. Do ∆OPQ and ∆QRS have equal areas?
1.b = 2a
2.d = 2c
|
|
365
|
After the first two terms in a sequence of numbers, each term in the sequence is formed by adding all of the preceding terms. Is 12 the fifth term in the sequence?
1.The sum of the first 3 terms in the sequence is 6.
2.The fourth term in the sequence is 6.
|
|
366
|
Jones has worked at Firm X twice as many years as Green, and Green has worked at Firm X four years longer than Smith. How many years has Green worked at Firm X ?
1.Jones has worked at Firm X 9 years longer than Smith.
2.Green has worked at Firm X 5 years less than Jones.
|
|
367
|
In ∆JKL shown above, what is the length of segment JL ?
1. $$JK = 10$$
2. $$KL = 5$$
|
|
368
|
 br/]
A six-sided mosaic contains 24 triangular pieces of tile of the same size and shape, as shown in the figure above. If the sections of tile fit together perfectly, how many square centimeters of tile are in the mosaic?
1.Each side of each triangular piece of tile is 9 centimeters long.
The mosaic can be put inside a rectangular frame that is 40 centimeters wide.
|
|
369
|
If, in the figure above, ABCD is a rectangular region, what is the value of the ratio $$\frac{area of Δ EDA}{area of Δ EBC}$$ ?
1.AD = 4
2.AE = 2 and EB = 4
|
|
370
|
A noncompressible ball in the shape of a sphere is to be passed through a square opening in a board. What is the perimeter of the opening?
1.The radius of the ball is equal to 2 inches.
2.The square opening is the smallest square opening through which the ball will fit.
|
|
371
|
In the figure above, what is the area of region PQRST ?
1.PQ = RS
2.PT = QT
|
|
372
|
The figure above represents a box that has the shape of a cube. What is the volume of the box?
1.PR = 10 cm
2.$$QT = 5 \sqrt{6}cm$$
|
|
373
|
If x and y are the lengths of the legs of a right triangle, what is the value of xy ?
1.The hypotenuse of the triangle is $$10\sqrt{2}$$
2.The area of the triangular region is 50.
|
|
374
|
In the figure above, PQRT is a rectangle. What is the length of segment PQ ?
1.The area of region PQRS is 39 and TS = 6.
2.The area of region PQRT is 30 and QR = 10.
|
|
375
|
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
|
|
376
|
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
|
|
377
|
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.
|
|
378
|
Last school year, each of the 200 students at a certain high school attended the school for the entire year. If there were 8 cultural performances at the school during the last school year, what was the average (arithmetic mean) number of students attending each cultural performance? (1) Last school year, each students attended at least one cultural performance.(2) Last school year, the average number of cultural performances attended per student was 4.
|
|
379
|
A clothing manufacturer makes jackets that are wool or cotton or a combination of wool and cotton. The manufacturer has 3,000 pounds of wool and 2,000 pounds of cotton on hand. Is this enough wool and cotton to make at least 1,000 jackets?(1) Each wool jacket requires 4 pounds of wool, and no cotton.(2) Each cotton jacket requires 6 pounds of cotton, and no wool.
|
|
380
|
If n is an integer, what is the greatest common divisor of 12 and n?
(1)The product of 12 and n is 432
(2)The greatest common divisor of 24 and n is 12
|
|
381
|
Each month, Jim receives a base salary plus a 10 percent commission on the price of each car he sells that month. If Jim sold 15 cars last month, what was the total amount of base salary and commissions that Jim received that month?(1) Last month, Jim's base salary was $3,000.(2) Last month, Jim sold 3 cars whose prices totaled $60,000 and 5 cars whose prices totaled $120,000.
|
|
382
|
If x is a positive integer greater than 1, what is the value of x ?(1) 2x is a common factor of 18 and 24.(2) x is a factor of 6.
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