Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
131
What is the distance between the points (2, 3) and (2, 7)?
Answer:
4
Step 1: Notice that the x-coordinates are the same, indicating a vertical line segment. Step 2: The distance is simply the absolute difference of the y-coordinates. Step 3: Distance = |7 - 3| = 4.
132
Find the distance between the points (-5, 0) and (0, 12).
Answer:
13
Step 1: Apply the distance formula d = √[(x2 - x1)² + (y2 - y1)²]. Step 2: Substitute values: d = √[(0 - (-5))² + (12 - 0)²]. Step 3: Calculate d = √[5² + 12²] = √[25 + 144] = √169 = 13.
133
What is the distance between the points (0, 0) and (3, 4)?
Answer:
5
Step 1: Use the distance formula d = √[(x2 - x1)² + (y2 - y1)²]. Step 2: Substitute the coordinates (0,0) and (3,4) to get d = √[(3 - 0)² + (4 - 0)²]. Step 3: Simplify to d = √[9 + 16] = √25 = 5.