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
11
Evaluate 2^4.
Answer:
16
Step-by-step solution: 1. Multiply 2 by itself 4 times. 2. 2^4 = 16. 3. No further simplification is needed.
12
Find the square root of 108 correct to three decimal places.
Answer:
10.392
Step-by-step solution: 1. Prime factorise the radicand to identify perfect squares. 2. Take the square root to obtain 10.392. 3. Round the result to three decimal places.
13
Find the square root of 32 correct to three decimal places.
Answer:
5.657
Step-by-step solution: 1. Prime factorise the radicand to identify perfect squares. 2. Take the square root to obtain 5.657. 3. Round the result to three decimal places.
14
Evaluate 4^4.
Answer:
256
Step-by-step solution: 1. Multiply 4 by itself 4 times. 2. 4^4 = 256. 3. No further simplification is needed.
15
Find the square root of 8 correct to three decimal places.
Answer:
2.828
Step-by-step solution: 1. Prime factorise the radicand to identify perfect squares. 2. Take the square root to obtain 2.828. 3. Round the result to three decimal places.
16
Evaluate 3^3.
Answer:
27
Step-by-step solution: 1. Multiply 3 by itself 3 times. 2. 3^3 = 27. 3. No further simplification is needed.
17
Evaluate 6^4.
Answer:
1296
Step-by-step solution: 1. Multiply 6 by itself 4 times. 2. 6^4 = 1296. 3. No further simplification is needed.
18
Evaluate 4^2.
Answer:
16
Step-by-step solution: 1. Multiply 4 by itself 2 times. 2. 4^2 = 16. 3. No further simplification is needed.
19
Evaluate 5^5.
Answer:
3125
Step-by-step solution: 1. Multiply 5 by itself 5 times. 2. 5^5 = 3125. 3. No further simplification is needed.
20
Find the square root of 16 correct to three decimal places.
Answer:
4.0
Step-by-step solution: 1. Prime factorise the radicand to identify perfect squares. 2. Take the square root to obtain 4.0. 3. Round the result to three decimal places.