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200301
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Is 5 a factor of n?
(1)the remainder is 1 when n is divided by 4
(2)the remainder is 4 when n is divided by 7
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200301
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If 330 is a factor of n!, what's the least possible value of n ?
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200301
|
If a, b and c are three integers, is at least one of them even?
(1)a+b = even
(2)a+c = even
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200301
|
If △ABC is an isosceles triangle, what is the ratio of the height to base?
(1)The three sides of △ABC are equal
(2)One of the angles of △ABC is 60°
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200301
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If x is p% higher than y and y is r% lower than z, what's the value of x in terms of p and r?
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190302
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a,b,c,d are positive integers. x,y are not integers. x=$$a\sqrt{b}$$,y=$$c\sqrt{d}$$. Is $$\sqrt{xy}$$ an integer?
1：$$\sqrt{ac}$$ is a positive integer.
2：$$\sqrt[8]{bd}$$ is a positive integer.
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190302
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The cylinder is placed obliquely on the horizontal table EF. There is a small amount of water in the cylinder, and the water surface is the plane AB. BC=3. BD=？
1：∠ADE=60°
2：CD=3
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190302
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The average speed of a train is 50 miles/h. How many seconds does it take for the train to finish a journey of 700 feet?
(1 mile = 5280 inches)
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191222
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If the values of the slope and the y-intercept of line g are positive, and the values of the slope and the y-intercept of line k are positive, is the x-intercept of line g greater than the x-intercept of line k ?
(1)The slope of line g is greater than the slope of line k
(2)The y-intercept of line g is greater than the y-intercept of line k
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191222
|
The score calculation rule of a test is to take the average of the scores of the four exams. The first three scores are 85, 83 and 70 respectively. How many points do you need to get in the fourth exam to make the average score is 80?
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191222 730高分节-数学测试
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$$ 1 + x + x ^ { 2 } + x ^ { 3 } + x ^ { 4 } < \frac { 1 } { 1 - x } ?$$
(1)x<1
(2)x>0
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191222
|
f(x)=ax+b，a and b are both positive, what is the value of f(1)?
(1)f[f(x)]=4x+5
(2)f[f(1)]=-1
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191222
|
A truck transports cargoes. First time, the truck transports 2/3 of the total cargoes, and the second time, it transports 1/3 of the remaining cargoes, finally the truck has 0.5 tons cargoes left. How many tons does truck have?
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191222
|
As shown in the figure above, What's the value of ∠B ？
1：AE = CD
2：AE || CD
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191222
|
A and B are two different kinds of pipes. The radius of A is 1.5 times the radius of B. The rate of water injection of both pipes is proportional to the area of the circle of the injection hole of the pipe. How many hours will it take for pipe B to fill the empty container with water?
Condition 1: pipe A needs 14 hours to fill the empty container with water
Condition 2: rate ratio A:B=3:2
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191222
|
There is a square living room next to a rectangular bath room whose area is 121m^2. The length of the bath room is 3m longer than the side of the living room, and the width is 3m shorter than the side of the living room. What is the area of such living room?
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191222
|
A rectangular table is 60 in length and 16 in width. The tablecloth covers the table. The edge of the tablecloth is 2 away from each side of the table. What is the area of the tablecloth not on the table?
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191222
|
There is a dug on a surface, a frog at 4foot below the dug, and then another frog is 3.5foot from dug and 3.5 foot from the first frog. How far is this frog under the surface?
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191222
|
There is a number E, which is a four-digit number, and each digit is an even number; One number is O, which is also a four-digit number, but every digit is odd. There is currently a number W=E+O, and W is a number with five digits, so how many of the five digits of W can't be odd?
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191222 730高分节-数学测试
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A, b, and c are three positive integers. a≤b≤c, can 2a+2b+2c be divided by 10?
Condition 1: c=a+1
Condition 2: b=c
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