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A, B, C, D, and E need to take seats such that A and B sit next to each other. How many ways can they arrange the seats?
Which of the following could be the value of x to make sure that $$x^{3}$$ - x is divisible by 10?

Indicate all such values.


If ABCD is a square with area 625, and CEFD is a rhombus with area 500, then what is he area of the shaded region?

Note: Figure not drawn to scale
In a sequence, $$a_n=2*a_{n-1}$$ where n is greater than 1, and an cannot be divisible by 100. What could be the value of $$a_1$$?

Indicate all such values.
Quantity A: w+d

Quantity B: c+z

For the 500 measurements obtained in experiment X, the average (arithmetic mean) value is 280 and the value k is at the 75th percentile. For the 500 measurements obtained in experiment Y, the average value is 280 and the value n is at the 75th percentile.

Quantity A: k

Quantity B: n
Quantity A:AB

Quantity B:BC

Which of the following CANNOT be the sum of six consecutive odd integers?
What is the value of $$\frac{0.99999999}{1.0001}$$ - $$\frac{0.99999991}{1.0003}$$ ?
Among 66 people, 40 people like dancing,and 25 people like swimming. if all but 6 people like dancing or swimming or both, the how many people like dancing but not swimming?
Printer A, B, and C together need 9 hours to finish a task, while B and C together need 12 hours to finish the same task. How many hours will it take for printer A to finish the task alone?
The average of 5 different positive integers is 8, what might be the greatest possible value among the 5 integers?
At a certain company, employees who earn $20.00 per hour will be given an increase of $1.00 per hour. For each of the other employees, either the employee will be given an increase of $1.00 per hour or the employee will be given a percent increase equal to the percent increase that will be given to the employees who earn $20.00 per hour, whichever results in a larger increase for that employee. Which of the following statements are true?

Indicate all such statements.

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