Quantitative Reasoning: Problem Solving

The population of City X increased from 2 million in the year 2000 to 2.5 million in 2015 and the gross domestic product of the city in 2000 was 3838 less than that in 2015. What was the approximate percent change, rounded to the nearest integer if required, in the per capita gross domestic product of the city from 2000 to 2015?

A box contains 20 balls, of which 12 are red and 8 are blue. If two balls are to be drawn from this box at random without replacement, what is the probability that one ball will be red and the other will be blue?

Given that:

4m+n=204m+n=20; and

|n|≤20n≤20

How many ordered pairs (m,n) exist in which m and n both are integers?

Company X sold 1,500 units of its product for $9 each and 750 units for $6 each. If the company's cost of producing each unit of the product was $7, what was the company's profit or loss on the sale of 2,250 units?

In a parallelogram, the ratio of the two adjacent sides is 1:2. If the area of the parallelogram is 36 sqrt(2) square units and the angle between the two sides is 45°, what is the area, in the square unit, of the rectangle whose smaller side is equal to the smaller side of the parallelogram and the larger side is equal to the larger side of the parallelogram?

In the given figure, O is the center of the circle of radius 1 unit. What is the area, in square units, of the minor sector AOC?

The mean and the median of seven distinct positive integers is 30. If the seven integers are such that their product is maximum, what is the product of the smallest and the largest integers?

If (x^3+y^6) is positive, which of the following must be true?

When a positive integer mm is divided by another positive integer n, the remainder obtained is 8. If m/n=89.32, what is the value of n?

If the value of −2k+√4-15k is positive, which of the following ranges represents the value of k?