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PREP07 Test 2 In a survey of 248 people, 156 are married, 70 are self-employed, and 25 percent of those who are married are self-employed. If a person is to be randomly selected from those surveyed, what is the probability that the person selected will be self-employed but not married?
Magoosh If the sum of two numbers is 6, and the sum of their reciprocals is $$\frac{15}{8}$$, what is the product of the two numbers?
190124 $$(\sqrt{\sqrt{2}}$$+$$\sqrt{\sqrt{8}})^{2}$$ = ?
190124 A person bought a packet of candies. He ate $$\frac{1}{3}$$ of all of the candies. Then, he ate $$\frac{1}{3}$$ of the left ones. What's the ratio of the number of candies in the packet after eating to that of all of the candies?
190207 E is a point on the CD of a parallelogram ABCD, the area of which is three times that of the triangle ACE. What is the value of CE/CD=?
191031
A square is inscribed with two same circles whose radii are all r. If r=$$\sqrt{2}$$, what is the length of the diagonal of this square?
190321 $$\frac{ \sqrt{5} + \sqrt{3}}{ \sqrt{5} - \sqrt{3}}$$=?
TPA Consider a right circular cylinder for which the following quantities are all numerically equal：the height, in meter; one-fourth of the volume, in cubic meters; the area of the circular base, in square meters.In the table, select a value for the diameter of the circular base and a value for the height, where both are measured in meters, so that the two values are jointly consistent with the information provided. Make only two selections, one in each column.
190310 $$(9^{900}+3^{1800})^2$$ =?
Magoosh If $$\frac{4}{w} + \frac{4}{x} = \frac{4}{y} and wx = y$$, then the average (arithmetic mean) of w and x is
Ready4

What is the value of ?

(1)

(2)

OG12 OG15 OG16 A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?
OG15 OG16 OG17 OG18 Which of the following equations is NOT equivalent to $${10}{y}^{2}=({x}+{2})({x}-{2})$$?
If $$\sqrt x=25$$, then $$x^3-x^2=$$
A factory worker produced one lot of connecting clips, and initial quality control found that $$\frac{5}{7}$$ of clips in the lot could be used. An assembly plant purchased this lot of clips valuing the lot at $3 per each usable clip. During assembly, it became known that only $$\frac{3}{5}$$ of the clips in the lot were usable. What was price per usable clip that the assembly plant paid for the lot?
Ready4

In the xy-plane, what is the slope of the line with equation 4x+5y=6 ?
191222 $$\sqrt { 8 + \sqrt { 4 } 4 } * \sqrt { 8 - \sqrt { 44 } } =$$
Magoosh If $$5^{x+y} = 125$$ and $$3^{x-3y} = \frac{1}{9}$$, then y =
Magoosh A box contains 6 black balls and 4 white balls. If two balls are selected at random without replacement, what is the probability that both balls are white?
Magoosh If points A and B are randomly placed on the circumference of a circle with radius 2, what is the probability that the length of chord AB is greater than 2?