List of top Quantitative Aptitude Questions on Algebra

y = 3x – 1
COLUMN A: x
COLUMN B: \(\frac{y}{3}+3\)

COLUMN A: \(37\times\frac{37}{36}\) 
COLUMN B: \(37+\frac{37}{36}\)

x and y are positive integers and x > y.
COLUMN A: \(\frac{x^2}{y^3}\)
COLUMN B: \(\frac{y^3}{x^2}\)

x + 5 = 3
y = 2x
COLUMN A: x
COLUMN B: y

b > 0
COLUMN A: a – b
COLUMN B: b – a

If \(x\) increased by 50 percent is equal to 20, then \(x=\)
If \( (x-1)^2 = (x-2)^2 \), then \(x=\)

Column A:\((\frac{1}{x})^2\)
Column B: x2

x >0
Column A: \(\frac{1}{x}+\)1
Column B: \(\frac{1}{x+1}\)

Equation: \[ x - y - 3 = 0 \]
Column A: x
Column B: y

Column AColumn B
\(x+y\)\(2(x+y)\)


 

\(x+y+n=15\)
\(x+y+k=9\)

Column AColumn B
\(n-k\)6


 

\(f(t) = kt\) for all \(t\), where \(k\) is a constant, and \(f(3) = \frac{1}{2}\).
 

Column AColumn B
\(k\)\(f(1)\)

\(m = 4x + 4y\), \(x \neq -y\)
 

Column AColumn B
\(\frac{2m}{x+y}\)8

\(x + y = 2\)

Column AColumn B
\(x\)\(y\)
When it was found that 150 more tickets for the school play were sold than the seating capacity of the auditorium. It was decided to have two performances. if the total number of tickets sold was equal to the total number who attended and if the auditorium was \(\frac{2}{3}\) full for each of the two performances, what is the seating capacity of the auditorium?
If \(y - x = 2\) and \(y - z = 3\), which of the following best represents the relative positions of x, y, and z on the number line? (Note: The figures are drawn to scale.)
\includegraphics[width=0.35\linewidth]{19.png}
What is the cost, in cents, of using a certain fax machine to send n pages of a report if the total cost for sending the first k pages is r cents and the cost for sending each additional page is s cents? (Assume that n>k)
\(p + q = 1\)
\(0<p<q\)
Column A: \(\frac{1}{pq}\)
Column B: 1
\(\frac{n}{4} + \frac{r}{8} = \frac{s}{8} + \frac{t}{6}\), where n, r, s, and t are positive integers.
Column A: \(2n + r\)
Column B: \(2s + t\)
Column A: \(|x^2|\)
Column B: \(|x|^2\)
\(x<y<20\)
Column A: \(x + y\)
Column B: 35
\(x>0\)
Column A: \(\frac{590 + x}{800}\)
Column B: \(\frac{600 + x}{790}\)
If a, b, c, and d are consecutive integers such that a<b<c<d, then in terms of a, the sum a + b + d =
Each of the numbers x, y, w, and z (not necessarily distinct) can have any of the values 2, 3, 9, or 14.
Column A: \(\frac{x}{y}\)
Column B: \(wz\)