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If 20 red cubes and 7 white cubes, all of equal size, are fitted together to form one large cube, as shown above, what is the greatest fraction of the surface area of the large cube that could be red?
The radius of cylinder A is twice as many as the radius of cylinder B, and the height of cylinder A is twice as many as the height of cylinder B, so what is the ratio of the volume of cylinder B to the volume of cylinder A?
Give your answer as a fraction.
Vertical cylinder A and B share the same volume. The base radius of cylinder A is twice as many as that of cylinder B. What is the height ratio of cylinder A and B?
Give your answer as a fraction.
There is a cylindrical swimming pool with a height of 4 feet and a bottom diameter of 10 feet. Now that the water depth is 3 feet and 6 inches, how many gallons of water are in the pool? (π≈3.14,1feet=12 inches,1gallon=243 cubic inches)
Give your answer to the nearest units digit.
_______gallons
Three students need to read 50 proposals. Each proposal has to be read by at least one student. Student A read 38 of them, Student B read 36 of them, while Student C read 28 of them. At least how many proposals are read by at least two students?
There are 500 students in a class. 450 of them take Course A, 300 of them take Course B, and 150 of them take Course C. Each student has to take at least one course, and 100 of them take all the three classes simultaneously. The number of students who take both Course A and Course B, but not Course C could be?
Indicate all such possible values.
x=1+2+3+-+100,and y=1+3+5+-+199.What is the value of y-x?
In a sequence, $$a_{1}$$=7,for any integer n greater than 1, $$a_{n}=a_{n-1}+2$$. If the last term in the sequence is 217,what's the number of integers in the sequence?

Quantity A

The sum of integers from 29 to 89, inclusive

Quantity B

The sum of integers from 30 to 90, inclusive
100 cards are marked with 100 numbers from 0 to 99. If a person draws n cards from them, then what`s the value of n such that the sum of all the numbers marked on these cards is 100?
Indicate all such values.
What is the sum of all the odds from 3 to 97,inclusive?
A man updates his two computers regularly. On June, $$1^{st}$$, he updated both of them, then update the first computer every six days (for example, the next update will be June, $$7^{th}$$), and update the second one every 8 days, so in the 30 days of month June, how many days will this man not update the computers?
First step is to draw a square whose side is 1cm. Second step is to draw a square whose side is 3cm. Third step is to draw a square whose side is 5cm. At which of the following step will be taken to draw a square whose side is 43cm?
In a certain sequence, the first term is 2, and each term is -2 times the preceding term. What is the sum of the first five terms?
In a list of geometric sequence with a common ratio of 2, the first term is 2, what is the 4th term, 6th term and 8th term, respectively?all the three term.
In a sequence, $$S_{1} = 5$$, $$S_{n} = 2* S_{n-1}$$, for any positive integer n greater than 1.

Quantity A

$$S_{8}$$

Quantity B

$$\frac{S_{21}}{S_{13}}$$
In a sequence, $$S_{1} = 1$$, $$S_{n} = 1/7 * S_{n-1}$$, (n≥2).
Quantity A: $$S_{12}$$
Quantity B: $$S_{26}* 49^7$$
In a certain sequence an,the first term a1= 6, and each term is 3 times higher than the preceding term.

Quantity A

$$2*3^{28}$$

Quantity B

$$\frac{a_{18}}{3^(-10)}$$
In a sequence,if $$a_{n}=3a_{n-1}$$,where n is any integer greater than 1

Quantity A

$$a_{28}$$

Quantity B

$$a_{11}$$
In a sequence, $$a_{1}=1$$, $$a_{2}=2$$, for any n greater than 2, $$a_{n} =(a_(n-1)/a_(n-2) )^2$$, what is the value of $$a_{5}$$?

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