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If 1 kilometer is approximately 0.62 mile, what is the approximate speed, in kilometers per hour, of a car that is traveling at a speed of 50 miles per hour?
What fraction of the people in the age-group 20 to 49 indicated newspaper or the Internet as their preferred method to obtain news?

Give your answer as a fraction.
n=1234567891011121314--498499500 (from 1 to 500)

How many digits does n have?
n is an integer made of some consecutive odd numbers from 1. n=13579111315......

What is the units digit of n if it has only 41 digits?
$$x^{2}+y^{2}=25$$. Both $$x$$ and $$y$$ are integers and $$x \gt y$$.

Quantity A

$$x$$

Quantity B

$$4$$


At a toy sale, each toy was sold for either $2 or $3. If a customer bought toys of $15 at the sale, which of the following could have been the total number of toys that the customer bought?

Indicate all such values.
The average (arithmetic mean) of 14 different positive integers in a set is 14. What is the greatest possible integer in any such set?
There are n positive integers. The sum of the numbers is greater than 50, while the arithmetic average of the numbers is 2.5. What is the least value of n?
If 15 percent of the students in a class are 16 years old or older, what is the least possible number of students in the class?
The ratio of the number of female members of a club to the number of all members of the club is 4 to 7. Which of the following could be the number of male members of the club?

Indicate all such numbers.
If k is an integer and 121 < $$k^{2}$$ < 225, then k can have at most how many values?
Both x and y are integers, and 1 < -x < 4, 2 < y < 5. What is the least possible value of xy?
$$x^4y^3z^2 \lt 0$$

Quantity A

$$xyz$$

Quantity B

$$0$$


For all positive integer $$n$$, the function $$f$$ is defined by the equation $$f(n)= \frac{n(n+1)}{2}$$

$$m$$ is a positive integer

Quantity A

$$(-1)^{f(4m+1)}$$

Quantity B

$$(-1)^{f(4m+2)}$$


70 is the median in a list formed by 77 consecutive integers. What is the smallest integer in the list?
Among 25 consecutive integers, the median is 3 times the value of the least of them. What is the greatest integer among them?
$$x$$ and $$y$$ are integers, and $$x \lt y-4$$

Quantity A

The number of even integers between $$x$$ and $$y$$

Quantity B

The number of odd integers between $$x$$ and $$y$$


For which of the following integer, the number of its even divisors is greater than that of its odd divisor?
What`s the number of integers that are neither multiple of 3 nor multiple of 7 from 1 to 1000, inclusive?
The remainder is 30 when 6n is divided by 75, which of the following could be the remainder when 7n is divided by 75?

Indicate all such numbers.

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