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191222 730高分节-数学测试
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Is axy > bxy？
(1)ax > ay
(2)bx > by
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191222
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A triangle with a length 6 for one of the sides is inscribed in a circle. Is the triangle a right triangle?
1: The other two sides of the triangle are equal
2: The perimeter of the circle is 6π
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191222
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DS: There are 5 different positive integers with a median of 55. What is the value of the largest number?
(1) The average of these 5 numbers is 52
(2) The sum of the smallest two numbers is 92, and the sum of the largest two numbers is
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190215
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$$a^{2}$$ - $$b^{2}$$=21.$$a^{4}$$ - $$b^{4}$$=?
1：a+b=-3
2：a-b=7
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190215
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What is the reminder when n is divided by 8?
1: The reminder is 1 when n is divided by 2.
2: The reminder is 2 when n is divided by 3.
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190215
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A shop only sells fish and shrimp. The businessmen sold 80kg in total yesterday. The weight of the sold fish was three times that of the shrimp. What was the total sales of the sold fish yesterday?
1: The price of fish is $8.25/kg.
2: The price of shrimp is $10/kg.
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190215 还原机经选题: 数论&代数
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It is given that a,b,c are prime numbers larger than 1，and abc=60. What is the value of a+b+c
1：a+b=8
2：a,b are odd.
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190215
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Machine A is three times more efficient than machine B. How long does it take A and B to work together at the same time for 3000 pieces of work?
1: Machine B can produce 1000 goods per hour.
2: Machine a produces 2000 more pieces per hour than machine B.
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190215
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What is the reminder of x when divided by 2?
1: The reminder of (x+1) is odd when divided by 2.
2: 4 is a factor of $$x^{4}$$.
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190215
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There are 5 numbers in a sequence. 1 is the mode and the only one. The average of the five numbers is 2.4. What is the maximum value in the sequence?
1: 2 is the median.
2: There are four different numbers in the sequence.
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191020
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There are three numbers. Is the smallest number less than 12000?
(1). the average of the three numbers is 18000
(2). the median is 2000 above the average
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191020
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Is x < y ?
(1)x/y=7/9
(2)xy>0
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191020
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r s t are all positive integers, and r < s < t，what is the value of r?
(1)rst=6
(2)r+s+t=6
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190215
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Is the sum of x and y a multiple of 3? x,y,z are integers.
1: x+z is a multiple of 3.
2: x+2z is a multiple of 3.
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190215 还原机经选题: 数论&代数
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Is n the square of an integer? n is an integer.
1:4n is the square of an integer
2:$$n^{3}$$ is the square of an integer
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191031
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The probability that event A will occur is 0.6, and the probability that event B will occur is 0.45. What is the probability that both A and B will occur at same time?
1.Such two events are independent of each other.
2.The probability that neither of A and B will occur at the same time is 0.22
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190207
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The average of the three numbers is 15. What's the median?
1: The largest number is twice the smallest one.
2: The sum of the largest number and the smallest number is 30.
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191020
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Is√ab an integer?
1: √a is not an integer
2: √b is not an integer
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191020 还原机经选题: 数论&代数
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If abc, bca, and cab are three-digits positive integers, what is the smallest prime factor of the sum of these three-digits positive integers?
1：a+b=c
2：c=2
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191020
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p and q are different prime numbers. How many factors does A=paqb have?
1: a = 2, b = 3
2: p = 5, q = 7
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