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190310
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Line AC and line BC are tangent to circle O at A and B respectively. What is the radius of the circle O?
1：∠C=60°
2：AC=10
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190310
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p,s,t are prime numbers. $$p^3s^3t^3$$=？
1：$$p^4st=1456$$
2：t=13
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190310
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Is |x|+|y|>|x+y|？
1：xy<0
2：x>y
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190310
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x/y=?
1:2x-y=20
2:$$x^2 = y^2$$
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190310
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Is the quadrilateral ABCD rectangular? AB=5, BC=12.
1: The length of the diagonal AC is 13.
2: AB=CD, AD=BC
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190310
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A positive integer x is a multiple of 5. What is the remainder of x when divided by 6?
1: The remainder of x is 3 when divided by 12.
2: The remainder of x is 3 when divided by 4.
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190321
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x < y. Is x > 0?
1:$$x^2+y^2>0$$
2:$$x^3+y^3<0$$
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190124
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20 people donated some money. Each person can only donate $9, $10, $11. What's the average donation of these 20 people?
1: The number of people who donated $9 is equal to the number who donated $11.
2: The number of people who donated $9 is less than the number who donated $10.
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190124
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Is x > 5？
1：$$x^{2}$$ > 25
2：2x+7 > 0
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190321
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The distribution of students' grades in A and B is shown in the following table. Is the average grade of class A higher than that of class B?
1: x= 3, y=4
2: The three students with the lowest scores in class A all scored 0. The two students with the lowest scores in class B all scored 0.
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190321
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$$a_1 < a_2 < a_3$$,$$a_1$$,$$a_2$$,$$a_3$$ are integers. Is the average of these three numbers larger than the median of them?
1:$$\frac{a_1+a_3}{2} - a_2 = 3$$
2:$$a_3 - \frac{a_1+a_2+a_3}{3} = 250$$ , $$a_1 - \frac{a_1+a_2+a_3}{3} = -150$$
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190321
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m and n are both 3-digit numbers. Is m>n？
1：The unit digit of m is less than n.
2：The sum of m's hundreds digit and tens digit is greater than that of n.
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190415
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x is a positive integer. Is the remainder of x over 12 less than 8?
1: The remainder of x over 48 is 8.
2: The remainder of x over 50 is 9.
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190415
|
In parallelogram ABCD, AE=a, EB=b, BN=a, NC=b, CH=a, DH=b, MD=b, AM=a. What is the area of the quadrilateral EMHN?
1: The perimeter of the quadrilateral ABCD is 48.
2: The area of quadrilateral ABCD is 144.
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190310
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There are 20 donations in the company. The amount of donation is only $9, $10, $11. What's the average number of donations for these 20 people?
1: The number of people who donate $9 was the same as the number who donate $11.
2: The number of people who donate $9 was more than the number who donate $10.
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190215
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6,mn4 is a four-digit integer. Is m+n larger than 10?
1: 134 is a factor of 6,mn4.
2: 6,mn4=134p + r (47 ≤ p ≤ 52,0 ≤ r ≤ 134)
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190215 还原机经选题: 数论&代数
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x > 2, y > 2. Can x be divided by 20?
1: x is a multiple of 5.
2: x=(n+2)!
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190215
|
Four 30 ° - 60 ° - 90 ° triangles are assembled into a large square. What is the ratio of the circumference of the big square ABCD to that of the inner small square EFGH?
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190215
|
x=?
1: The minimum product of two prime factors of x is 21.
2: The maximum product of two prime factors of x is 91.
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191020
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Is |x-y+z|>|x+y-z|?
(1)x
(2)x=0
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