|
OG12
|
Drum X is $$\frac{1}{2}$$ full of oil and Drum Y, which has twice the capacity of Drum X, is $$\frac{2}{3}$$ full of oil. If all of the oil in Drum X is poured into Drum Y, then Drum Y will be filled to what fraction of its capacity?
|
|
OG12
|
if x > 0,$$\frac{x}{50}+\frac{x}{25}$$ is what percent of x ?
|
|
OG12
|
If the operation ? is defined for all a and b by the equation a?b=$${a}^{2}\frac{b}{3}$$, then 2?[3?(-1)] is
|
|
OG12
|
 Pat will walk from Intersection X to Intersection Y along a route that is confined to the square grid of four streets and three avenues shown in the map above. How many routes from X to Y can Pat take that have the minimum possible length?
|
|
|
if $$\frac{1}{2}+\frac{1}{3}+\frac{1}{4}=\frac{13}{x}$$,which of the following must be an integer?I. $$\frac{x}{8}$$II. $$\frac{x}{12}$$III. $$\frac{x}{24}$$
|
|
OG12 OG15
|
 In the rectangular coordinate system above, the line y = x is the perpendicular bisector of segment AB (not shown), and the x-axis is the perpendicular bisector of segment BC (not shown). If the coordinates of point A are (2,3), what are the coordinates of point C ?
|
|
OG12 OG15 OG16
|
A store currently charges the same price for each towel that it sells. If the current price of each towel were to be increased by $1, 10 fewer of the towels could be bought for $120, excluding sales tax. What is the current price of each towel?
|
|
PREP07 Test 2
|
If x is equal to the sum of the even integers from 40 to 60, inclusive, and y is the number of even integers from 40 to 60, inclusive, what is the value of x+y?
|
|
OG17
|
S is a set containing 9 different numbers.T is a set containing 8 different numbers, all of which are members of S. Which of the following statements CANNOT be true?
|
|
|
How many different positive integers are factors of 441?
|
|
PREP07 Test 2
|
A television manufacturer produces 600 units of a certain model each month at a cost to the manufacturer of $90 per unit and all of the produced units are sold each month. What is the minimum selling price per unit that will ensure that the monthly profit (revenue from sales minus the manufacturer's cost to produce) on the sales of these units will be at least $42,000?
|
|
|
Are positive integers p and q both greater than n?(1)p- q is greater than n.(2)q>p
|
|
|
If n is a positive integer, is $$\frac{150}{n}$$ an integer?(1)$$n < 7$$(2)n is a prime number
|
|
OG12 OG15 OG16 OG17
|
A report consisting of 2,600 words is divided into 23 paragraphs. A 2-paragraph preface is then added to the report. Is the average (arithmetic mean) number of words per paragraph for all 25 paragraphs less than 120 ?(1)Each paragraph of the preface has more than 100 words.(2)Each paragraph of the preface has fewer than 150 words.
|
|
|
If $$\frac{x}{2}=\frac{3}{y}$$,is x less than y?(1)$${y}\ge{3}$$(2)$${y}\le{4}$$
|
|
OG12 OG15
|
 In the rectangular coordinate system above, if OP < PQ, is the area of region OPQ greater than 48 ?(1)The coordinates of point P are (6,8).(2)The coordinates of point Q are (13,0).
|
|
PREP07 Test 1
|
If $$z^n=1$$, what is the value of z?(1)n is a nonzero integer.(2)$$z > 0$$
|
|
OG12 OG15 OG16 OG17
|
If x is an integer, is $$x \mid x \mid < {2}^{X}$$ ?(1)$$x < 0$$(2)$$x = -10$$
|
|
OG12 OG15
|
The inflation index for the year 1989 relative to the year 1970 was 3.56, indicating that, on the average, for each dollar spent in 1970 for goods, $3.56 had to be spent for the same goods in 1989. If the price of a Model K mixer increased precisely according to the inflation index, what was the price of the mixer in 1970 ?(1)The price of the Model K mixer was $102.40 more in 1989 than in 1970.(2)The price of the Model K mixer was $142.40 in 1989.
|
|
OG12 OG15
|
 What is the circumference of the circle above with center 0 ?(1)The perimeter of $$\Delta OXZ$$ is $$20+10\sqrt 2$$(2)The length of arc $$XYZ$$ is $$5\pi$$.
|