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300难题
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In quadrilateral ABCD, is angle BCD a right angle?
1.Angle ABC is a right angle.
2.Angle ADC is a right angle.
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300难题
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If x is a positive integer, how many positive integers less than x are divisors of x ?
1. $$x^{2}$$ is divisible by exactly 4 positive integers less than $$x^{2}$$.
2. 2x is divisible by exactly 3 positive integers less than 2x.
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300难题
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The first four digits of the six-digit initial password for a shopper's card at a certain grocery store is the customer's birthday in day-month digit form. For example, 15 August corresponds to 1508 and 5 March corresponds to 0503. The 5th digit of the initial password is the units digit of seven times the sum of the first and third digits, and the 6th digit of the initial password is the units digit of three times the sum of the second and fourth digits. What month, and what day of that month, was a customer born whose initial password ends in 16 ?
1.The customer's initial password begins with 21, and its fourth digit is 1.
2.The sum of the first and third digits of the customer's initial password is 3, and its second digit is 1.
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300难题
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If K is a positive integer less than 10 and N = 4,321 十 K, what is the value of K ?
1.N is divisible by 3.
2.N is divisible by 7.
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300难题
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If b is an integer, is $$\sqrt{a^{2}+b^{2}}$$ an integer?
1.$$a^{2} + b^{2}$$ is an integer.
2.$$a^{2} - 3b^{2}$$ = 0
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300难题
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Is x an integer?
1.$$x^{2}$$ is an integer.
2.$$\frac{x}{2}$$ is not an integer.
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300难题
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Each entry in the multiplication table above is an integer that is either positive,negative, or zero. What is the value of a ?
1.$$ h\neq 0$$
2.c = f
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300难题
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The cardinality of a finite set is the number of elements in the set. What is the cardinality of set A?
1. 2 is the cardinality of exactly 6 subsets of set A.
2. Set A has a total of 16 subsets, including the empty set and set A itself.
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300难题
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Bowls X and Y each contained exactly 2 jelly beans, each of which was either red or black. One of the jelly beans in Bowl X was exchanged with one of the jelly beans in Bowl Y. After the exchange, were both of the jelly beans in Bowl X black?
1. Before the exchange, Bowl X contained 2 black jelly beans.
2. After the exchange, Bowl Y contained 1 jelly bean of each color.
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OG21 OG2022
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In the xy-coordinate plane, what are the x-coordinates of the four vertices of square JKMN?
(1) J and M are on the x-axis, and l < k and N are on the y-axis.
(2) The center of the square is at the origin.
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OG21 OG2022
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What is the value of z in the figure above?
(1) x = 50
(2) y = 35
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模考带练机经题
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Is the quadrilateral ABCD square?
(1) All three angles are 90°
(2) Three sides are equal
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模考带练机经题
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The scores of 5 people are 80, 90, 85, 95 and 100 respectively. What is the new standard deviation of their scores after the following changes?
(1) Add 10 points to everyone`s score
(2) Change the average score to 85.5
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模考带练机经题
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If m is a positive integer, and 3 is a factor of m. How many different prime factors does m have?
(1) $$\frac{m}{3}$$ has a factor of 3
(2)$$\frac{m}{3}$$ has only two different prime factors.
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模考带练机经题
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The triangle ABC is a right-angled triangle, and B is the right angle. If a point D is on AC, is the triangle BCD an isosceles triangle?
(1) BD = AD
(2) D is the midpoint of AC
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181215
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There are two kinds of books on the shelf, English and mathematics. What is the probability that at least one book is an English book when two books are selected from the shelf randomly?
1: The ratio of the number of English books to that of math books is 1:3.
2: The number of all of the books is less than 20.
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181215
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x,y,z are three prime numbers. Is xyz < 700?
1: x,y,z are no more than 14.
2: x,y,z are the factors of 70.
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181215
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a < b. Is a < 0？
条件1：$$a^{2}$$>ab
条件2：b < 0
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181215
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x=?
1：$$x^{6}$$+$$x^{4}$$+$$x^{2}$$=0
2：$$x^{2}$$+x=0
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181215
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Is x > y?
1：125%*x=(7/3)*y
2：|x-y|=2
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