List of top Quantitative Ability and Data Interpretation Questions on Algebra asked in XAT

In a certain factory, each day the expected number of accidents is related to the number of overtime hours by a linear equation. Suppose that on one day there were 1000 overtime hours logged and 8 accidents reported, and on another day there were 400 overtime hours logged and 5 accidents. What are the expected numbers of accidents when no overtime hours are logged?

Let \(p\) be any positive integer, and let
\[ 2x + p = 2y, \quad p + y = x, \quad x + y = z \]
For what value of \(p\) would \(x + y + z\) attain its maximum value?

Which of the following is NOT true?

If \(\dfrac{a-b}{a+b} = \dfrac{(a-b)^3}{(a+b)^3}\), what set(s) of \(a\) and \(b\) is/are correct?

A. \(S_1 = \{a = \text{any real value}, b = 0\}\)
B. \(S_2 = \{a = 0, b = \text{any real value}\}\)
C. \(S_3 = \{a = 0, b = 0\}\)