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If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference between the greatest and least of the five integers?
Set X consists of 100 numbers. The average (arithmetic mean) of set X is 10, and the standard deviation is 4.6. Which of the following two numbers, when added to set X, will decrease the set`s standard deviation by the greatest amount?
If the average (arithmetic mean) of a and b is j, and the average of c, d, and e is k, what is the average of a, b, c, d, e and j ?
The average (arithmetic mean) of five numbers is 3x + 4. If one of the numbers is 7x - 4, what is the average of the other four numbers?
If the average (arithmetic mean) of seven consecutive integers is k + 2, then the product of the greatest and least integer is
The average (arithmetic mean) of 4 different integers is 75. If the largest integer is 90, what is the least possible value of the smallest integer?
Positive integers a, b, c, d and e are such that a < b < c < d < e. If the average (arithmetic mean) of the five numbers is 6 and d - b = 3, then what is the greatest possible range of the five numbers?
K = sum of the integers from 1 to 500 inclusive that are divisible by 5.

Quantity A

k

Quantity B

25,000


Yesterday, at a certain school, the ratio of boys to girls was 1 to 3. Today, an equal number of boys and girls joined the school. The number that joined was greater than zero and no students left.

Quantity A

Ratio of boys to girls now

Quantity B

$$\frac{1}{3}$$


In a group of 45 children, 60 percent of the children are boys, and 60 percent of the children are left-handed.

Quantity A

Number of boys who are left-handed

Quantity B

8


Clyde drove 30 miles in 20 minutes, and then drove an additional 10 miles in 10 minutes.

Quantity A

Clyde`s average speed for the entire trip.

Quantity B

75 miles per hour


Gene is 7 years older than Roberta.

6 years ago, Gene was twice as old as Roberta.

Quantity A

Roberta`s current age

Quantity B

12


In 12 years, Murray will be 4 times as old as he is now.

Quantity A

Number of years until Murray is 8 times as old as he is now

Quantity B

24


The speed of light is approximately $$3·10^{5}$$ kilometers per second.

Quantity A

Approximate number of kilometers that light can travel in 1 hour.

Quantity B

$$1.08x10^{8}$$


Gerry is three times as old as Pat.

Quantity A

Gerry's age 20 years ago

Quantity B

Pat's age in 12 years


In a group of 200 workers, 10 percent of the males smoke, and 49 percent of the females smoke.

Quantity A

Total number of workers who smoke

Quantity B

59


Andy drove from Townville to Villageton at an average speed of 40 miles per hour. He then drove from Villageton to Townville at an average speed of 60 miles per hour.

Quantity A

50

Quantity B

The average speed of Andy's entire trip in miles per hour.


A-town and B-ville are connected by a straight, 420-mile road. At noon, Atu left A-town for B-ville, and Brek left B-ville for A-town. If Atu travels at 56 miles per hour and Brek travels at 49 miles per hour, how many miles apart will Atu and Brek be 1 hour before they meet?_____
7 years ago, Samir was 3 times as old as Deepak. In 4 years, Samir will be twice as old as Deepak. What is Deepak`s present age?_____
A container holds 4 quarts of alcohol and 4 quarts of water. How many quarts of water must be added to the container to create a mixture that is 3 parts alcohol to 5 parts water by volume?

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