|
190113 还原机经选题: 文字题&几何
|
A total of 100 people participated in a survey. Thirty people bought milk. How many people bought both milk and orange juice?
(1) 40 people bought orange juice.
(2) There were 50 people who bought exactly one of these two drinks.
|
|
190113
|
There is a rectangle. The length of this rectangle is L, and the width is W. This rectangle has the same area as a square. What's the difference between the circumference of a rectangle and that of a square?
(1) $$\sqrt{L}$$ - $$\sqrt{W}$$ = $$\sqrt{2}$$
(2)$$\sqrt{L}$$ + $$\sqrt{W}$$ = $$3\sqrt{2}$$
|
|
190603
|
The first row has 16 seats, the next row has 2 more seats than the preceding one, and the last row has 64 seats. How many seats are there in total?
|
|
190113
|
$$[3(x)^{-1}+3(y)^{-1}]{-1}$$=?
|
|
190113
|
A car passes through three points A, B and C on a road, successively. The average speed of a driver driving through AC was 20 feet/second. What's the average speed he drove through section BC?
(1)The average speed he drives through section AB was 10 feet/second.
(2)It took him 20 seconds to drive through section BC.
|
|
190113
|
If x+y=u, and x-y=v, xy=?
|
|
190113
|
According to the number axis in this picture, |y-x|=2*|z-y|, and |y|=2/7*|x|. If y= -2, z=?
|
|
190113
|
The positive integers containing “2” are arranged in order from small to large. For example, 2, 12, 20, 21, 22, …. What's the 100th number?
|
|
190113
|
There are 50 balls in an opaque bag. The number of red balls, orange balls, yellow balls and green balls is 20, 20, 6, and 4, respectively. Two balls will be taken out randomly at one time from the bag. What's the approximate probability that the two balls are the same color?
|
|
190113 还原机经选题: 文字题&几何
|
There are books on the upper and lower floors of the bookshelf. The ratio of the number of books on the top floor to that on the bottom is 4 to 3. If 8 books are taken from the upper floor to the lower one, the ratio of the number of books on the top to that on the bottom will be 4 to 5. How many books on the upper floor at first?
|
|
190113
|
If x, p, and q are positive integers, what's the unit number of $$x^{pq}$$?
(1)$$x^{p}$$=1
(2)$$x^{q}$$=1
|
|
190113 还原机经选题: 数论&代数
|
X=$$\frac{1}{2\sqrt{3}+\sqrt{7}}$$.X+$$\frac{1}{X}$$=?
|
|
190207
|
How many zeros are there at the end of (3! + 4!)!
|
|
190207
|
In rectangular ABCD, ab = 10, BC = 6. What is the area of the shaded area?
1：l=0.8
2：∠d=30°
|
|
190207
|
101*99+102*98+103*97=?
|
|
190321 还原机经选题: 数论&代数
|
n>2. Is n a prime number?
1:(n-1)!+1 can be divided by n.
2:(n+1)!+2 cannot be divided by n.
|
|
190321
|
Under what conditions is \frac{3x}{\sqrt{-2x^2+6}} not a real number?
|
|
190321 还原机经选题: 文字题&几何
|
There is a three-digit positive integer, where two digits are the same, and the third digit is different from both. There are no zeros in those three digits. How many numbers satisfy the above requirements?
|
|
190321 还原机经选题: 文字题&几何
|
Mary invested some money in a certificate of deposit that earns interest at an annual rate of x percent compounded semi-annually. At the end of the first half-year, the amount in the certificate is $2060. At the end of the second half-year, the amount in the certificate is $2121.8. What is the annual interest rate on this certificate?
|
|
190321
|
Two boys and three girls will be arranged in a row. If boys and girls alternate, how many queuing methods are there?
|