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OG19-定量推理	A couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 2 girls and 2 boys?
OG12 OG15	In the figure above, V represents an observation point at one end of a pool. From V, an object that is actually located on the bottom of the pool at point R appears to be at point S. If VR = 10 feet, what is the distance RS, in feet, between the actual position and the perceived position of the object?
OG12 OG15 OG16 OG17	If $${y}(\frac{3x-5}{2})={y}$$ and $$y\neq0$$,then x=
OG12 OG15 OG16	If O is the center of the circle above, what fraction of the circular region is shaded?
OG17	The average (arithmetic mean) score on a test taken by 10 students was x. If the average score for 5 of the students was 8, what was the average score, in terms of x, for the remaining 5 students who took the test?
OG12 OG15 OG16 OG17	At a loading dock, each worker on the night crew loaded $$\frac{3}{4}$$ as many boxes as each worker on the day crew. If the night crew has $$\frac{4}{5}$$ as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load?
OG12	If $$\frac{1}{2}$$ of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 4 strokes?
OG12	If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K - 5, and 5K + 1 is 63, what is the value of K?
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 OG15 OG16	The probability is $$\frac{1}{2}$$ that a certain coin will turn up heads on any given toss. If the coin is to be tossed three times, what is the probability that on at least one of the tosses the coin will turn up tails?
OG12 OG15	Rectangular floors X and Y have equal area. If floor X is 12 feet by 18 feet and floor Y is 9 feet wide, what is the length of floor Y in feet?
OG17 OG18	Which of the following fractions is closest to $$\frac{1}{2}$$?
OG18 OG19 OG20 OG2022	Which of the following is greatest?
OG19 OG20 OG2022	The table shows partial results of a survey in which consumers were asked to indicate which one of six promotional techniques most influenced their decision to buy a new food product .Of those consumers who indicated one of the four techniques listed ,what fraction indicated either coupons or store displays ?
OG17 OG18 OG19 OG20 OG2022	The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.6. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?
OG16 OG17 OG18 OG19 OG20 OG2022	In a box of 12 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
190321	The quadrilateral ABCD is a trapezoid. AD//BC, ADC=BCD=90°. AD=9, BC=5, CD=12. AB+BD+AC=?
Ready4	In the figure above, $O$ is the center of the circle and the measure of $\angle XOY$ is $72\degree$ . If the circumference of the circle is $16$ millimeters, what is the length, in millimeters, of arc $XY$ ?
OG19 OG20 OG2022	Which of the following fractions is closest to $$\frac{1}{2}$$
OG21 OG2022	Carol purchased one basket of fruit consisting of 4 apples and 2 oranges and another basket of fruit consisting of 3 apples and 5 oranges. Carol is to select one piece of fruit at random from each of the two baskets. What is the probability that one of the two pieces of fruit selected will be an apple and the other will be an orange?