All Categories MCQs
Topic Notes: All Categories
General Description
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 log_4(256).
Answer:
4
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 4^4 = 256. 3. Therefore log base 4 of 256 = 4.
12
Evaluate log_5(125).
Answer:
3
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 5^3 = 125. 3. Therefore log base 5 of 125 = 3.
13
Evaluate log_3(729).
Answer:
6
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 3^6 = 729. 3. Therefore log base 3 of 729 = 6.
14
Evaluate log_3(27).
Answer:
3
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 3^3 = 27. 3. Therefore log base 3 of 27 = 3.
15
Evaluate log_2(32).
Answer:
5
Step-by-step solution: 1. Logarithm asks for the exponent to raise the base to get the argument. 2. 2^5 = 32. 3. Therefore log base 2 of 32 = 5.
16
Find the smaller angle between the hands of a clock at 02:40.
Answer:
160.0
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*2 + 0.5*40 = 80.00°. 3. Minute hand angle = 6*40 = 240°. 4. Difference = 160.0° (smaller angle).
17
Find the smaller angle between the hands of a clock at 03:57.
Answer:
136.5
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*3 + 0.5*57 = 118.50°. 3. Minute hand angle = 6*57 = 342°. 4. Difference = 136.5° (smaller angle).
18
Find the smaller angle between the hands of a clock at 10:36.
Answer:
102.0
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*10 + 0.5*36 = 318.00°. 3. Minute hand angle = 6*36 = 216°. 4. Difference = 102.0° (smaller angle).
19
Find the smaller angle between the hands of a clock at 06:18.
Answer:
81.0
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*6 + 0.5*18 = 189.00°. 3. Minute hand angle = 6*18 = 108°. 4. Difference = 81.0° (smaller angle).
20
Find the smaller angle between the hands of a clock at 04:04.
Answer:
98.0
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*4 + 0.5*4 = 122.00°. 3. Minute hand angle = 6*4 = 24°. 4. Difference = 98.0° (smaller angle).