GATE AG 2012 • Q64 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

Two points (4, p) and (0, q) lie on a straight line with slope 3/4. The value of (p - q) is:

Options:

  • (A) -3
  • (B) 0
  • (C) 3
  • (D) 4

Official Answer Key:

C

Step-by-Step Solution & Explanation

• **Concept:** The slope $m$ of a straight line passing through points $(x_1, y_1) = (4, p)$ and $(x_2, y_2) = (0, q)$ is given by: $m = \frac{y_1 - y_2}{x_1 - x_2}$ • **Calculation:** $\frac{p - q}{4 - 0} = \frac{3}{4} \implies \frac{p - q}{4} = \frac{3}{4} \implies p - q = 3$ • **Conclusion:** $(p - q) = 3$. **Correct Answer: C**.

Practice This in Real CBT Exam Interface

Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.

Launch CBT Mock Test