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
261
Evaluate: (18 - 6)/3
Answer:
4
Step 1: Compute parentheses first: 18 - 6 = 12. Step 2: Divide: 12/3 = 4.
262
Evaluate: 3 + 5*2 - 4
Answer:
9
Step 1: Apply order of operations: multiplication before addition/subtraction. Step 2: 5*2 = 10. Step 3: Compute 3 + 10 - 4 = 13 - 4 = 9.
263
Which is the smallest number: -1/2, -0.4, -0.50, -0.49?
Answer:
-0.50
Step 1: Normalize decimals to the same number of places: -0.40, -0.50, -0.49. Step 2: Convert -1/2 = -0.50. Step 3: On the number line, the smallest is the most negative. Step 4: -0.50 is the smallest among -0.50, -0.49, -0.40. Therefore -0.50 is smallest.
264
Which of the following is an irrational number?
Answer:
sqrt(50)
Step 1: sqrt(50) = sqrt(25*2) = 5*sqrt(2). Step 2: sqrt(2) is irrational, so 5*sqrt(2) is irrational. Step 3: 0.125 = 1/8 (rational). Step 4: -2/7 is rational. Step 5: 0.333... repeating equals 1/3 (rational). Therefore the irrational choice is sqrt(50).
265
Which set best describes the number -7?
Answer:
Integers
Step 1: Natural numbers are 1, 2, 3, ... and do not include negative numbers. Step 2: Whole numbers are 0, 1, 2, 3, ... and do not include negatives. Step 3: Integers include ..., -2, -1, 0, 1, 2, ... so -7 is an integer. Step 4: Irrational numbers cannot be written as a/b; -7 is rational but the best classification among the options is Integers.