List of top Quantitative Aptitude Questions

The solutions of \( x^{2/5} + 3x^{1/5} - 4 = 0 \) are
If the equations \( x^2 + ax + 1 = 0 \) and \( x^2 - x - a = 0 \) have a real common root, then the value of \( b \) is
Let \( f(x) = px^2 + qx + r \), where \( p,q,r \) are constants and \( p \neq 0 \). If \( f(5) = -3f(2) \) and \( f(-4) = 0 \), then the other root of \( f \) is
In an apartment complex, the number of people aged 51 years and above is 30 and there are at most 39 people whose ages are below 51 years. The average age of all the people in the apartment complex is 38 years. What is the largest possible average age, in years, of the people whose ages are below 51 years?
Let x, y, z be three positive real numbers in a geometric progression such that x < y < z. If 5x, 16y, and 12z are in an arithmetic progression then the common ratio of the geometric progression is
If x is a positive quantity such that 2x = 3log52, then x is equal to
log12 81=p, then 3(4-p/4+p) is equal to
If p3 = q 4 = r5 = s6 , then the value of logs(pqr) is equal to
1/log2100-1/log4100+1/log5100-1/log10100+1/log20100-1/log25100+1/log50100=?
\( -x^2(a-b) + a^2(b-x) + b^2(x-a) \) is factored as:
A worker carries jugs of liquid soap from a production line to a packing area, carrying 4 jugs per trip. If the jugs are packed into cartons that hold 7 jugs each, how many jugs are needed to fill the last partially filled carton after the worker has made 17 trips?
During a certain time period, Car X traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car X used exactly 3.75 gallons of fuel, how many miles did Car X travel?
Judy bought a quantity of pens in packages of 5 for 0.80 per package. She sold all of the pens in packages of 3 for 0.60 per package. If Judy's profit from the pens was $8.00, how many pens did she buy and sell?
On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day, (4/5) of the rolls in the batch were sold, each at a price that was 50% greater than the average (arithmetic mean) production cost per roll. The remaining rolls in the batch were sold the next day, each at a price that was 20% less than the price of the day before. What was the bakery's profit on this batch of rolls?
Company Q plans to make a new product next year and sell each unit of this new product at a selling price of 2. The variable costs per unit in each production run are estimated to be 40% of the selling price, and the fixed costs for each production run are estimated to be $5,040. Based on these estimated costs, how many units of the new product will Company Q need to make and sell in order for their revenue to equal their total costs for each production run?
A certain financial institution reported that its assets totaled 2,377,366.30 on a certain day. Of this amount, 31,724.54 was held in cash. Approximately what percent of the reported assets was held in cash on that day?
An equilateral triangle that has an area of \( 9\sqrt{3} \) is inscribed in a circle. What is the area of the circle? [Official GMAT-2018]
As shown in the diagram above, a lever resting on a fulcrum has weights of \( w_1 \) pounds and \( w_2 \) pounds, located \( d_1 \) feet and \( d_2 \) feet from the fulcrum. The lever is balanced and \( w_1d_1 = w_2d_2 \). Suppose \( w_1 \) is 50 pounds and \( w_2 \) is 30 pounds. If \( d_1 \) is 4 feet less than \( d_2 \), what is \( d_2 \), in feet? [Official GMAT-2018]
In a numerical table with 10 rows and 10 columns, each entry is either a 9 or a 10. If the number of 9s in the nth row is \( n - 1 \) for each \( n \) from 1 to 10, what is the average (arithmetic mean) of all the numbers in the table? [Official GMAT-2018]
A manufacturer makes and sells 2 products, P and Q. The revenue from the sale of each unit of P is 20.00 and the revenue from the sale of each unit of Q is 17.00. Last year the manufacturer sold twice as many units of Q as P. What was the manufacturer's average (arithmetic mean) revenue per unit sold of these 2 products last year? [Official GMAT-2018]
The sum of the weekly salaries of 5 employees is $3,250. If each of the 5 salaries is to increase by 10 percent, then the average (arithmetic mean) weekly salary per employee will increase by [Official GMAT-2018]
For each student in a certain class, a teacher adjusted the student's test score using the formula \( y = 0.8x + 20 \), where \( x \) is the student's original test score and \( y \) is the student's adjusted test score. If the standard deviation of the original test scores of the students in the class was 20, what was the standard deviation of the adjusted test scores of the students in the class? [Official GMAT-2018]
How many integers between 1 and 16, inclusive, have exactly 3 different positive integer factors? (Note: 6 is NOT such an integer because 6 has 4 different positive integer factors: 1, 2, 3, and 6.) [Official GMAT-2018]
If \( m \) and \( p \) are positive integers and \( m^2 + p^2<100 \), what is the greatest possible value of \( mp \)?
According to the table shown, the estimated number of home-schooled students in State A is approximately what percent greater than the number in State D?