|
190310
|
The averages of $$x_1,x_2,...,x_10$$;$$x_1,x_2,...,x_6$$;$$x_6,x_7,...,x_10$$ are a,b,c, respectively. $$x_6$$=？
|
|
190310
|
Is x > 5？
1：$$x^2 > 25$$
2：2x+7 > 0
|
|
190302 还原机经选题: 数论&代数
|
What is the unit digit number of $$5^{5}$$+$$6^{5}$$+$$7^{5}$$+$$8^{5}$$?
|
|
191031
|
A person works five days a week with basic salary of $ 70 per day. Then on any day if the sales reach $ 500 , he will be rewarded with 5% of the sales for that day. So did his income last week exceed $450.
1.His sales exceeded$500 for four days in a week
2. One day in a week he sold $ 1500
|
|
190302
|
Someone investigated 100 people, 30 of whom bought milk. How many people bought both milk and orange juice?
1: Forty people bought orange juice.
2: There were 50 people who only bought milk or orange juice.
|
|
191031
|
There are now 1,000 students, whose average grade is 5 and the standard deviation is 1. So how many students have a grade greater than 4. （68% of the distribution lies within 1 standard deviation of the mean.）
|
|
190302
|
△ABC and △CDE are equilateral triangles. The quadrilateral BCFE is square. ∠DGE=？
|
|
191031
|
There are 10 cards numbered 1-10, respectively. 5 different cards are selected randomly from these 10 cards. What is the greatest value of difference between median and mean?
|
|
191031
|
A square is inscribed with two same circles whose radii are all r. If r=$$\sqrt{2}$$, what is the length of the diagonal of this square?
|
|
191031
|
Three solid cheese balls with diameters of 2 inches, 4 inches, and 6 inches, respectively, were melted into a single cheese ball. What was the approximate diameter, in inches, of the new cheese ball? (The volume of a sphere is $$\frac{4}{3} \pi r^3$$, where r is the radius.)
|
|
191031
|
$$
f ( n ) = \frac { 4 x ^ { 2 } - 1 } { 1 - 2 x } , \frac { f ( \sqrt { 3 } ) - f ( \sqrt { 2 } ) } { \sqrt { 3 } - \sqrt { 2 } } = ?
$$
|
|
191031 还原机经选题: 数论&代数
|
Of a positive three-digits number, the tens digit is three times the units digit, and the hundreds digit is twice the tens digit. Which of the following must be true?
I. n是奇数
II. n的个位数，十位数，百位数相加为偶数
III. n除以3余1
|
|
191031
|
In this figure, the large circle and the smaller circle have the same center (A). Line segment AC, a radius of the larger circle, intersects the smaller circle at point B, and line segment AE, another radius of the larger circle, intersects the smaller circle at point D. What is the radius of the smaller circle?
(1)BC=6
(2)Arc CE : Arc BD=3
|
|
191031
|
If xy≠0, and x≤y, is x=y?
(1)y is the greatest common factor of x and y
(2)x is the least common multiple of x and y
|
|
191031
|
It takes Tom 15 mins to travel 2 miles from A to B, and 25 mins to return from B to A. If Tom travels the same route for this round trip with no stop, what is the average speed, in miles per hour, of Tom?
|
|
191031
|
The formula of height, in meters, of a substance is h=180+120t-60t^2, and t is time, in seconds. What is the average speed of this substance from t=1 to t=3?
|
|
191031
|
If 6mn4 is a four-digit integer, then is m+n>10?
(1) 6mn4 can be divisible by 134
(2) 6mn4 = 134k+r, where 0≤r<134, and 47≤k≤52
|
|
191031
|
If $$f ( x ) = \frac { 4 x ^ { 2 } - 1 } { 1 - 2 x } $$，then $$\frac { f ( \sqrt { 3 } ) - f ( \sqrt { 2 } ) } { \sqrt { 3 } - \sqrt { 2 } }$$？
|
|
191031
|
If $$xa^4+yb^3=5$$，then x+y=？
(1)$$xa^4 =x$$
(2) $$yb^3 = y$$
|
|
191031
|
Of the 60 cars at a certain store, 20 cars have sunroof, 30 cars have windshield. How many cars have both sunroof and windshield?
(1)15 cars have neither sunroof nor windshield
(2)40 cars have either only sunroof or only windshield
|