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
Simplify sqrt(252).
Answer:
6sqrt7
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 252 = 6² * 7. 3. Extract the square root of the perfect square to obtain 6sqrt7.
12
Simplify sqrt(343).
Answer:
7sqrt7
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 343 = 7² * 7. 3. Extract the square root of the perfect square to obtain 7sqrt7.
13
Simplify sqrt(54).
Answer:
3sqrt6
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 54 = 3² * 6. 3. Extract the square root of the perfect square to obtain 3sqrt6.
14
Simplify sqrt(36).
Answer:
3sqrt4
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 36 = 3² * 4. 3. Extract the square root of the perfect square to obtain 3sqrt4.
15
Simplify sqrt(144).
Answer:
6sqrt4
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 144 = 6² * 4. 3. Extract the square root of the perfect square to obtain 6sqrt4.
16
Simplify sqrt(98).
Answer:
7sqrt2
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 98 = 7² * 2. 3. Extract the square root of the perfect square to obtain 7sqrt2.
17
Simplify sqrt(112).
Answer:
4sqrt7
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 112 = 4² * 7. 3. Extract the square root of the perfect square to obtain 4sqrt7.
18
Simplify sqrt(216).
Answer:
6sqrt6
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 216 = 6² * 6. 3. Extract the square root of the perfect square to obtain 6sqrt6.
19
Simplify sqrt(80).
Answer:
4sqrt5
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 80 = 4² * 5. 3. Extract the square root of the perfect square to obtain 4sqrt5.
20
Simplify sqrt(50).
Answer:
5sqrt2
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 50 = 5² * 2. 3. Extract the square root of the perfect square to obtain 5sqrt2.