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
1
Simplify sqrt(196).
Answer:
7sqrt4
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 196 = 7² * 4. 3. Extract the square root of the perfect square to obtain 7sqrt4.
2
Simplify sqrt(100).
Answer:
5sqrt4
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 100 = 5² * 4. 3. Extract the square root of the perfect square to obtain 5sqrt4.
3
Simplify sqrt(175).
Answer:
5sqrt7
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 175 = 5² * 7. 3. Extract the square root of the perfect square to obtain 5sqrt7.
4
Simplify sqrt(294).
Answer:
7sqrt6
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 294 = 7² * 6. 3. Extract the square root of the perfect square to obtain 7sqrt6.
5
Simplify sqrt(63).
Answer:
3sqrt7
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 63 = 3² * 7. 3. Extract the square root of the perfect square to obtain 3sqrt7.
6
Simplify sqrt(147).
Answer:
7sqrt3
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 147 = 7² * 3. 3. Extract the square root of the perfect square to obtain 7sqrt3.
7
Simplify sqrt(150).
Answer:
5sqrt6
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 150 = 5² * 6. 3. Extract the square root of the perfect square to obtain 5sqrt6.
8
Simplify sqrt(72).
Answer:
6sqrt2
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 72 = 6² * 2. 3. Extract the square root of the perfect square to obtain 6sqrt2.
9
Simplify sqrt(18).
Answer:
3sqrt2
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 18 = 3² * 2. 3. Extract the square root of the perfect square to obtain 3sqrt2.
10
Simplify sqrt(245).
Answer:
7sqrt5
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 245 = 7² * 5. 3. Extract the square root of the perfect square to obtain 7sqrt5.