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191020
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The population of S city round to 10,000 is 140,000; The population of M city round to 10,000 is 80,000. What is the sum of the population of S city and M city if the sum is rounded to 10,000?
(1)Two figures are rounded within 2% of the original number;
(2)The population of S city is upward when it is rounded, while the population of M city is downward when it is rounded
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191031
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In the figure, a smaller semi-circle is in the larger semi-circle. A and B are centers of these two semi-circles, respectively. What is the area of the shaded part?
(1)The radius of the larger semi-circle is 15
(2)AB =3
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191031 还原机经选题: 数论&代数
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If k and n are positive factors, and f(n) represents the remainder when n is divided by k，is k>10?
(1)f(k+32)=8
(2)f(k+42)=6
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191031
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If the straight line l passes through the origin, and (a,b) is a point on the straight line l, then is a>0?
(1)b-a>0
(2) the slope of straight line l is less than 0
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191031
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If the remainder of x/y is 3, can x be divided by 3?
(1)y=6
(2)x
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191031
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Is the y-coordinate of the intersection of a parabola and the y-axis greater than 0?
(1)The intersection with the X-axis is -3 and 5
(2)The maximum value is 12
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191031
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n is a two-digit number, 30≤n≤80, is the single digit of n equal to 2?
(1). Both single and tens digits are prime numbers
(2). The sum of N's tens digit and units digit is a prime number
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191031
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Five numbers v，w，x，y，z. Is the median of the five numbers equal to its mean?
(1). v < w < x < y < z
(2). w-v = x-w = y-x = z-y
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191031
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There are 5 numbers, is the range > 40?
(1)Median=70
(2)Mean=50
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191031
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The sum of x and y is a prime number, is the sum of x and y odd?
(1)x is odd
(2)y>2
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191222
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BR∥AC.Is PA an Angle bisector?
Condition 1：∠PQR=∠PAC
Condition 2：∠PQR=∠PAB
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191222
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Is c/b a terminating decimal?
(1)c is a mutiple of 60
(2)b is a mutiple of 250
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191222
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A school holds seven meetings from Monday to Friday, at least one meeting every day. How many meetings are held on Wednesday?
1: The numbers of meetings on Monday and Wednesday are the same
2: The number of meetings on Wednesday is more than on Tuesday
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200301
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A person starts at 6:30, the whole distance is 500km, and stops at half the distance. What time does this person arrive at the destination?
(1)It's 10:30 at half way
(2)50 km/h for the remaining half of the journey
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200301
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Is the quadrilateral a square?
(1). the diagonals of the quadrilateral are perpendicular
(2). the diagonals of the quadrilateral are equal
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200301
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ABCD is a square. According to the picture below, what is the area of EMHN?
(1) Perimeter of ABCD is 48
(2) Area of ABCD is 144
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200301
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Is positive integer x a sum of squares of three different positive integers?
(1)x < 29
(2)x is divisible by 7
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200301
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Is n a multiple of 25?
(1)n is a multiple of 5
(2)n is the square of an integer
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190302
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The general term of {$$a_n$$} is $$a_{n+2}$$=$$a_n$$+11. Does 633 belong to the sequence {$$a_n$$}?
1：$$a_1$$=50
2：$$a_2$$=49
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190302
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There are 13 numbers in a sequence. What is the median of this series?
1: The average of this series is 74.
2: If the largest number and the smallest number are deleted, the median of the new sequence is 72.
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