List of top Quantitative Aptitude Questions on Inequalities asked in GRE

\( p, q, r, p, q, r, \) and \( s \) are four numbers such that \[ pq^2 - |q|>q^2r - |s|pq2 - |q|>q2r - |s| \quad \text{and} \quad |q|>|s| |q|>|s| \]
Which of the following is a graph for the values of \( x \) defined by the inequality \( 2x + 6>16 \)?
It takes no more than 40 minutes to run a race, but at least 30 minutes. What equation will model this in \( m \) minutes?
Solve the inequality \( 6(x - 1)<7(3 - x) \).
Compare Quantity A and Quantity B and determine which is larger.
\[ \text{Quantity A: } x^3 - 6, \quad \text{Quantity B: } x + 1 \] For when \( x<2 \), compare the two quantities.
For which value of \( n \) is \( (1/2^n)>1 \) true?
If \(x^2 - 5x + 6<0\), then which of the following is a possible value of x?

1 < x < y
COLUMN A: x+4
COLUMN B: y

\(m\) is a positive integer less than 4.
 

Column AColumn B
\((m+2)^m\)\(m^{m+2}\)

\(x^2 y < 0\)
 

Column AColumn B
\(xy\)0

\(100x < y\)
\(1000x < 2y\)

Column AColumn B
\(1,100x\)\(y\)

\(n\) is a positive integer.
 

Column AColumn B
\(n^{100}\)\(100^n\)