List of top Quantitative Aptitude Questions

Let P be an interior point of a right-angled isosceles triangle ABC with hypotenuse AB. If the perpendicular distance of P from each of AB, BC, and CA is 4 (√2 - l) cm, then the area, in sq cm, of the triangle ABC is

Gastric bypass surgery has been shown to be effective at helping extremely obese people lose weight. Some patients have lost as much as 300 pounds after undergoing the surgery, thereby substantially prolonging their lives. Despite the success of the treatment, most doctors have not embraced the surgery as a weight loss option. Which of the following statements, if true, best accounts for the lukewarm reaction of the medical community to gastric bypass surgery?

An electronics company’s two divisions showed consistent performance over the last two years. In each year, the audiovisual department accounted for roughly 30 percent of the company’s sales and 70 percent of the company’s profits over the period, while the home appliance division accounted for the balance. Which of the following statements regarding the last two years can be inferred from the statement above?

Studies have shown that companies that present seminars on workplace safety to their employees actually have higher rates of workplace accidents than do companies that do not present such seminars to their employees. Despite this finding, it is still in the best interests of companies and their employees for companies to present these seminars. Which of the following, if true, provides the strongest support for the argument that the companies should continue to present these seminars?

For hundreds of years, pearl divers have gathered pearls directly from mollusks on the sea floor. This is an extremely risky profession, exposing the divers to risks of drowning, air embolism, and shark attacks. Still, as long as society demands authentic cultured pearls, these brave divers must continue to risk their lives. Which of the following statements, if true, most seriously weakens the conclusion above?

If \( 3(x^2 + x) - 7 = x^2 + 2(4 + x^2) \), then \( x = ? \)

For any 3 given numbers, which of the following is always equivalent to adding the 3 numbers together and then dividing the sum by 3?

Suzie's Discount Footwear sells all pairs of shoes for one price and all pairs of boots for another price. On Monday the store sold 22 pairs of shoes and 16 pairs of boots for 650. On Tuesday the store sold 8 pairs of shoes and 32 pairs of boots for 760. How much more do pairs of boots cost than pairs of shoes at Suzie's Discount Footwear?

A hat company ships its hats, individually wrapped, in 8-inch by 10-inch by 12-inch boxes. Each hat is valued at 7.50. If the company's latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?

Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes?

If 4 and 11 are the lengths of two sides of a triangular region, which of the following can be the length of the third side? I. 5
II. 13
III. 15

The figure above represents a window, with the shaded regions representing openings for glass and the pale regions representing the wood panels between and around the glass. If the window is 4.5 feet high by 2.5 feet wide, and if each of the wooden panels is exactly 4 inches thick, what is the total surface area, in square inches, of glass in the window?

A certain truck uses 18 gallons of diesel fuel in traveling 270 miles. In order for the truck to travel the same distance using 10 gallons of diesel fuel, by how many miles per gallon must the truck’s fuel mileage be increased?

Evaluate \( (0.2)^{\frac{1}{3}} \) to \( (0.2)^{\frac{5}{3}} \).

If a copier makes 3 copies every 4 seconds, then continues at this rate, how many minutes will it take to make 9,000 copies?

A group of 7 fishermen chartered a boat for a day to fish for flounder. The boat costs \( x \) dollars per day to rent. If the group can find 3 more fishermen on the docks who are willing to come aboard and share the rental costs, how much less will the rental cost be per person in terms of \( x \)?

What is the ratio of \( \left( \frac{1}{3} \right)^2 \) to \( \left( \frac{1}{3} \right)^4 \)?

To be considered grade AA, an egg must weigh between 75 and 90 grams, including the shell. Shells of grade AA eggs weigh between 3 and 5 grams. What is the smallest possible mass, in grams, of a 12-egg omelet, assuming that only grade AA eggs are used, the shells are all discarded, and no mass is lost in the cooking process?

The size of a flat-screen television is given as the length of the screen's diagonal. How many square inches greater is the screen of a square 34-inch flat-screen television than a square 27-inch flat-screen television?

In the rectangular quadrant system shown above, which quadrant, if any, contains no point \( (x, y) \) that satisfies the equation \( 3x + 5y = -2 \)?

If a cube has a total surface area of 96, what is its volume?

In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If "clothes and shoes" takes up 54\degree of the chart, how much of the Roberts's 20,000 annual budget is dedicated to clothes and shoes?

In a nationwide poll, P people were asked 2 questions. If \(\frac{2}{3}\) answered "yes" to question 1, and of those \(\frac{1}{5}\) also answered "yes" to question 2, which of the following represents the number of people polled who did not answer "yes" to both questions?