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If the positive integer x is a multiple of 4 and the positive integer y is a multiple of 6, then xy must be a multiple of which of the following?I.8II.12III. 18
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PREP07 Test 2
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The numbers x and y are not integers. The value of x is closest to which integer?(1) 4 is the integer that is closest to x + y.(2) 1 is the integer that is closest to x - y.
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Magoosh
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In a certain daycare, are there more boys than girls?(1) The number of girls is less than 3 times the number of boys.(2) The number of boys is less than 3/4 the number of girls.
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GWD PREP08 Test 2
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Which of the following most accurately states the main point of the passage?
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300难题
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When opened and lying flat, a birthday card is in the shape of a regular hexagon. The card must be folded in half along 1 of its diagonals before being placed in an envelope for mailing. Assuming that the thickness of the folded card will not be an issue, will the birthday card fit inside a rectangular envelope that is 4 inches by 9 inches?
1.Each side of the regular hexagon is 4 inches long.
2.The area of the top surface (which is the same as the area of the bottom surface) of the folded birthday card is less than 36 square inches.
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190302
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80 < x < 120. The remainder of x divided by 8 is 4. What is the value of x?
1: x can be divided by 9.
2: x can be divided by 12.
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 $$\Delta BAC = \Delta ACD$$,and the length of AC is 4. What is the area of the quadrilateral ABCD above?1. AB = 2 and $$BC = 2\sqrt3$$2. $$x°= 60$$
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OG12 OG15 OG16
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Of the final grades received by the students in acertain math course, $$\frac{1}{5}$$ are A's, $$\frac{1}{4}$$ are B's,$$\frac{1}{2}$$ are C's,and the remaining 10 grades are D's. What is the number of students in the course?
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To reduce its stock of disposable contact lenses, a pharmacy sells 7 boxes for the price of 4. Given that a customer buys 7 boxes, approximately, what is the amount that she saves as a percent of what she would have spent?
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190415
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Both tens and the unit digits of a two-digit number are greater than or equal to 1 and less than or equal to 4. What is the probability that the sum of the digits of this number is a multiple of 3?
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OG18-数学分册
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If x is to be chosen at random from the set {1, 2, 3, 4} and y is to be chosen at random from the set {5, 6, 7}, what is the probability that xy will be even?
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The sequence $$a_1$$, $$a_2$$, $$a_3$$.....$$a_n$$...is such that $$a_n=\frac{a_{n-1}+a_{n-2}}{2}$$ for all $${n}\ge{3}$$. If $${a}_{3}$$=4 and $${a}_{5}$$ = 20, what is the value of $${a}_{6}$$ ?
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OG12
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In the xy-plane, the line with equation ax + by + c = 0, where $$abc \neq 0$$, has slope$$\frac{2}{3}$$. What is the value of b?(1) a = 4(2) c = −6
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Is r to the right of -6 on the number line?(1) r is between -4 and -1 on the number line.(2) r is between -3 and 1 on the number line.
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OG18-数学分册
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The sequence $$a_{1}, a_{2}, a_{3}, a_{4}, a_{5}$$ is such that $$a_{n} = a_{n ‒ 1} + 5$$ for 2 ≤ n ≤ 5. If $$a_{5} = 31$$, what is the value of $$a_{1} $$?
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OG18-数学分册
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There are 10 books on a shelf, of which 4 are paperbacks and 6 are hardbacks. How many possible selections of 5 books from the shelf contain at least one paperback and at least one hardback?
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PREP07 Test 1
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A certain company employs 6 senior officers and 4 junior officers. If a committee is to be created that is made up of 3 senior officers and 1 junior officer, how many different committees are possible?
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PREP07 Test 1
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In the arithmetic sequence $${t}_{1}$$, $${t}_{2}$$, $${t}_{3}$$, ..., $${t}_{n}$$,..., $${t}_{1}= 23$$ and $${t}_{n} = {t}_{n-1}- 3$$ for each $$n > 1$$. What is the value of n when $${t}_{n}=-4$$ ?
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191031 还原机经选题: 数论&代数
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A straight line y=mx+b, a parabola$$ y=x^2+c$$. are the number of intersections of these two images no less than 1?
(1)b≥c
(2)m^2≥4(c-b)
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191031
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There are 50 people in total, of which 18% have no cell phone, 20% have no computer, and 4% have neither cell phone nor computer. How many people have both a mobile phone and a computer?
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