200301
|
Is the quadrilateral a square?
(1). the diagonals of the quadrilateral are perpendicular
(2). the diagonals of the quadrilateral are equal
|
200301
|
s, r, t are integers,is t/(s^2) an integer?
(1). t/sr is an integer
(2). r/s is an integer
|
200301
|
A triangular pyramid with each side equal to each other, and one of the sides is 8 in length. What is the surface areas of the triangular pyramid?
|
200301
|
What is the sum of the angles of a heptagon?
|
200301
|
Insert two symbols "+" in 1,2,3,4,5 to form the number X, and the two symbols must be separated by at least one number, for example: insert a symbol between 2 and 3, and a symbol between 4 and 5, X=12+34+5=51, is X even?
(1). X is a three-digit number
(2). there is a symbol between 1 and 2
|
200301
|
A circle and a square have the same area. What is the ratio of the diagonal of the square to the diameter of the circle?
|
200301
|
What is the largest prime factor of 11! +12! +13! ?
|
200301
|
DS:∣2X-Y∣=∣2Y-X∣?
(1). X=Y
(2). Y>0
|
200301
|
(4!)^n is a factor of 12!, but (4!)^(n+1) is not a factor of 12!, what is the value of n?
|
200301
|
A sequence 1,2,3,4,5,11, x, and x is a positive integer, is x≥4?
(1). The median of the sequence is 4
(2). x ≥ the median of the sequence
|
200301
|
Which of the following is greatest?
|
200301
|
There is a rectangular box, with a length of 4, a width of 4, and a height of 1. At present, there are two kinds of small packages: spherical packaging boxes and cylindrical packaging boxes. (1) 16 identical spherical packaging boxes with a diameter of 1 can be contained in this rectangular box. (2) 16 identical cylindrical packaging boxes with a bottom-circle diameter of 1 and a height of 1 can be contained in this rectangular box. Assume that the space ratio of 16 small spherical boxes in this rectangular box is S, and the space ratio of 16 small cylindrical boxes in this rectangular box is C. Which of the following can correctly represent the relationship between S and C?
|
200301
|
The ratio of zinc and copper in X is 5: 7, and the ratio of zinc and copper in Y is 8: 7. After mixing the same amount of X and Y, what is the ratio of zinc and copper in the new mixture?
|
200301
|
If $$\frac { 1 } { n + 1 } < \frac { 1 } { 31 } + \frac { 1 } { 32 } + \frac { 1 } { 33 } < \frac { 1 } { n }$$, and n is a positive integer, what is the value of n?
|
200301
|
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
|
200301
|
A and B started from the same point and ran in the same direction. B started 30s earlier than A, and A was 5 meters per second faster than B. A caught up with B after A ran 1800 meters. How long did it take A to catch up B?
|
200301
|
The length of the side of cube B is 2% longer than that of the side of cube A, and the volume of cube A is 8. What is the volume of cube B?
|
200301
|
If $$a_1$$,$$a_2$$ ,$$a_3$$ -$$a_n$$ is the sequence such that $$a_1=4$$ and $$a_n = a_{n-1}$$ for all positive integer n, what is the value of $$a_t$$ in terms of t ?
|
200301
|
The sequence $$a_1$$,$$a_2$$......$$a_n$$, such that $$a_1=3$$,$$a_2 = 5$$,$$a_3 = a_1 +a_2$$,$$a_4 = a_1+a_2+a_3$$,$$a_n=a_1+a_2+$$...+$$a_{n-1}$$. What is the ratio of $$a_{24}$$ to $$a_{20}$$?
|
200301
|
As shown in the figure, ABCD is a square, and ABE is an equilateral triangle. What is the measurement degree of x?
|