Problem Solving

If y is an integer, then the least possible value of |23 - 5y| is

At least 2/3 of the 40 members of a committee must vote in favor of a resolution for it to pass. What is the greatest number of members who could vote against the resolution and still have it pass?

A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?

When Leo imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000.IftheamountoftheimporttaxthatLeopaidwas$87.50, what was the total value of the item?

1 + 1 3 − 1 + 1 2

(0.0036) (2.8) (0.04) (0.1) (0.003) =

The sum 7 8 + 1 9 is between

A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?

If n is a prime number greater than 3, what is the remainder when n^2 is divided by 12 ?

Car X averages 25 miles per gallon of gasoline and Car Y averages 11.9 miles per gallon. If each car is driven 12,000 miles, approximately how many more gallons of gasoline will Car Y use than Car X ?

In the coordinate plane, a circle has center (2, -3) and passes through the point (5, 0). What is the area of the circle?

If n is an integer greater than 6, which of the following must be divisible by 3?

√ 80 + √ 125 = 80 − √ + 125 − − √ =

At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders?

Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?

1 0.75 − 1 =

Yesterday's closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today's closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?

In the xy-plane, what is the slope of the line with equation 3x + 7y = 9 ?

If n is an integer, which of the following must be even?

On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?