GMAT Quantitative Reasoning practice questions

If $x$ and $y$ are integers and $x+y$ is odd, which of the following must be even?

Everyone at a company meeting chose exactly one drink, tea or coffee. The ratio of tea drinkers to coffee drinkers was 3 to 5, and 18 more people chose coffee than tea. How many people were at the meeting?

Maya's annual salary is 25 percent greater than Leo's. Leo's annual salary is what percent less than Maya's?

If $3^{x+1}\cdot 9^2={27}^3$, what is the value of $x$?

Liang spends $\frac{1}{3}$ of his monthly pay on rent and $\frac{1}{4}$ of what remains on food. After paying for both, he has $1,800 left. What is his monthly pay?

Amira drove from Town P to Town Q at an average speed of 60 kilometers per hour and returned along the same road at an average speed of 40 kilometers per hour. The round trip took 5 hours of driving. How many kilometers is it from Town P to Town Q?

At a language school with 120 students, 68 students take Mandarin, 45 take Arabic, and 22 take neither language. How many students take exactly one of the two languages?

The function $f$ is defined by $f(x)=x^2+2x$ for all numbers $x$. If $f(a+1)-f(a)=15$, what is the value of $a$?

How many integers $x$ satisfy $\mathrm{\mid }2x-5\mathrm{\mid }<7$?

Kofi invests $8,000 in an account that pays 5 percent annual interest, compounded once a year. He makes no withdrawals. How much more interest does the account earn in the third year than in the first year?

A list of numbers has a mean of 20 and a standard deviation of 4. A new list is made by dividing each number in the original list by 2 and then adding 3. What is the standard deviation of the new list?

In a sequence, each term after the first is 3 more than the term before it. If the 6th term is 26, what is the sum of the first 10 terms?

A team of 3 people is to be chosen from a group of 5 women and 4 men. How many different teams include at least one man?

A cafe blends arabica coffee beans, which cost $12 per kilogram, with robusta beans, which cost $7 per kilogram. How many kilograms of arabica must be mixed with 15 kilograms of robusta so that the blend costs $10 per kilogram?

What is the remainder when $7^{45}$ is divided by 5?

What is the greatest prime factor of $4^6-1$?

A fair six-sided die, with faces numbered 1 to 6, is rolled three times. What is the probability that the three numbers rolled are in strictly increasing order, that is, the second roll is greater than the first and the third roll is greater than the second?

If $x=2+\sqrt{3}$, what is the value of $x^2+{\displaystyle \frac{1}{x^2}}$?

A theater sells adult tickets for $12 each and child tickets for $7 each. One evening it sold more than 50 tickets in all, and ticket sales totaled exactly $460. What is the greatest number of adult tickets the theater could have sold that evening?

Working alone at their constant rates, Hana can finish a job in 12 hours and Ravi can finish it in 18 hours. They start the job together, but Ravi stops working at some point and Hana finishes the job alone. If the job takes 10 hours from start to finish, how many hours before the job is finished does Ravi stop?

The list 2, 5, 9, 12, $x$ has a mean equal to its median. What is the sum of all possible values of $x$?