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
Evaluate log_4(4096).
Answer:
6
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 4^6 = 4096. 3. Therefore log base 4 of 4096 = 6.
2
Evaluate log_2(8).
Answer:
3
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 2^3 = 8. 3. Therefore log base 2 of 8 = 3.
3
Evaluate log_4(1024).
Answer:
5
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 4^5 = 1024. 3. Therefore log base 4 of 1024 = 5.
4
Evaluate log_5(15625).
Answer:
6
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 5^6 = 15625. 3. Therefore log base 5 of 15625 = 6.
5
Evaluate log_3(81).
Answer:
4
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 3^4 = 81. 3. Therefore log base 3 of 81 = 4.
6
Evaluate log_5(3125).
Answer:
5
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 5^5 = 3125. 3. Therefore log base 5 of 3125 = 5.
7
Evaluate log_3(243).
Answer:
5
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 3^5 = 243. 3. Therefore log base 3 of 243 = 5.
8
Evaluate log_2(64).
Answer:
6
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 2^6 = 64. 3. Therefore log base 2 of 64 = 6.
9
Evaluate log_5(625).
Answer:
4
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 5^4 = 625. 3. Therefore log base 5 of 625 = 4.
10
Evaluate log_2(16).
Answer:
4
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 2^4 = 16. 3. Therefore log base 2 of 16 = 4.