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
251
Find the GCD of 18 and 24.
Answer:
6
Step 1: Prime factorize: 18 = 2*3^2, 24 = 2^3*3. Step 2: Common primes with lowest powers: 2^1*3^1 = 6. Step 3: Therefore the GCD is 6.
252
Which of the following is a prime number?
Answer:
29
Step 1: 21 = 3*7 (composite). Step 2: 33 = 3*11 (composite). Step 3: 51 = 3*17 (composite). Step 4: 29 has no divisors other than 1 and itself; hence it is prime.
253
Compute: 42 / -6
Answer:
-7
Step 1: Divide magnitudes: 42/6 = 7. Step 2: A positive divided by a negative is negative. Step 3: Result is -7.
254
Compute: -2 * (-7)
Answer:
14
Step 1: The product of two negatives is positive. Step 2: 2*7 = 14. Step 3: Therefore -2 * (-7) = 14.
255
Compute: -3 - (-8)
Answer:
5
Step 1: Subtracting a negative is adding: -3 - (-8) = -3 + 8. Step 2: -3 + 8 = 5.
256
Evaluate: 10^0
Answer:
1
Step 1: Any nonzero number to the zero power equals 1. Step 2: Therefore 10^0 = 1 by the zero exponent rule.
257
Simplify: 2^3 * 2^4
Answer:
128
Step 1: Use exponent rules for same base: 2^3 * 2^4 = 2^(3+4) = 2^7. Step 2: Compute 2^7 = 128.
258
Identify the property: (a + b) + c = a + (b + c)
Answer:
Associative property of addition
Step 1: The grouping changes but the order remains the same. Step 2: This is the associative property of addition, not commutative (which swaps order) or distributive (which multiplies over addition). Step 3: Identity property involves adding 0.
259
Evaluate: 7(4 - 3)
Answer:
7
Step 1: Compute inside parentheses: 4 - 3 = 1. Step 2: Multiply: 7*1 = 7.
260
Compute: | -12 | - | 5 |
Answer:
7
Step 1: Use absolute value: | -12 | = 12 and | 5 | = 5. Step 2: Subtract: 12 - 5 = 7.