List of top Quantitative Aptitude Questions on Algebra

If \(3x - 2y = 5\) and \(x + y = 5\), then the value of \(x\) is:

The sum of two numbers is 15 and the sum of their squares is 113. The product of the two numbers is:

If \(x + \dfrac{1}{x} = 5\), then the value of \(x^2 + \dfrac{1}{x^2}\) is:

The integer \( v \) is greater than 1. If \( v \) is the square of an integer, which of the following numbers must also be the square of an integer? Indicate all such numbers.

Given that \( \dfrac{1-x}{x-1} = \dfrac{1}{x} \). Compare:
Quantity A: \( x \)
Quantity B: \( -\dfrac{1}{2} \)

Given that \( st = \sqrt{10} \). Compare:
Quantity A: \( s^2 \)
Quantity B: \( \dfrac{10}{t^2} \)

If \( 2x = 3y = 4z = 20 \), then \( 12xyz = \dots \)

The ratio of \( \frac{1}{3} \) to \( \frac{3}{8} \) is equal to the ratio of

If y = 3, then y³(y³-y) =

Solve the following equation for A: 2A/3 = 8 + 4A

If 1/x = 3.5, then 1/(x+2) =

If \(x^2 - y^2 = 48\), then \( \frac{2}{3}(x+y)(x-y) = \)

If \(x \neq 2y\), then \( \frac{x-2y}{2y-x} + \frac{2y-x}{x-2y} = \)

Larry's Lawn Service charges $w/hour for the first x hours of grass trimming, then w + 2 dollars for every hour of work over x hours. How much more will a homeowner be charged for a grass trimming job that took z hours if z>x than for a job which took only w hours if x<w<z?

For which of the following functions g is g(z) = g(1-z) for all z?

Which of the following is NOT a possible value of \( \frac{1}{4 - x} \)

If \( 1 < x < y < z \), which of the following has the greatest value?

Alfred wants to invest $4,000 at 6% simple interest rate for 5 years. How much interest will he receive?

If Leah is 6 years older than Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue?

Frank is 15 years younger than John. In 5 years John will be twice as old as Frank. How old will Frank be in four years?

Eddie is 7 years older than Brian. If Brian is x years old, then how old was Eddie 11 years ago?

If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?