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
31
Find the smaller angle between the hands of a clock at 03:27.
Answer:
58.5
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*27 = 103.50°. 3. Minute hand angle = 6*27 = 162°. 4. Difference = 58.5° (smaller angle).
32
Find the smaller angle between the hands of a clock at 08:02.
Answer:
131.0
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*8 + 0.5*2 = 241.00°. 3. Minute hand angle = 6*2 = 12°. 4. Difference = 131.0° (smaller angle).
33
Find the smaller angle between the hands of a clock at 03:17.
Answer:
3.5
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*17 = 98.50°. 3. Minute hand angle = 6*17 = 102°. 4. Difference = 3.5° (smaller angle).
34
Find the smaller angle between the hands of a clock at 04:14.
Answer:
43.0
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*14 = 127.00°. 3. Minute hand angle = 6*14 = 84°. 4. Difference = 43.0° (smaller angle).
35
Find the smaller angle between the hands of a clock at 02:10.
Answer:
5.0
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*10 = 65.00°. 3. Minute hand angle = 6*10 = 60°. 4. Difference = 5.0° (smaller angle).
36
Find the smaller angle between the hands of a clock at 07:05.
Answer:
177.5
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*7 + 0.5*5 = 212.50°. 3. Minute hand angle = 6*5 = 30°. 4. Difference = 177.5° (smaller angle).
37
Find the smaller angle between the hands of a clock at 04:44.
Answer:
122.0
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*44 = 142.00°. 3. Minute hand angle = 6*44 = 264°. 4. Difference = 122.0° (smaller angle).
38
Find the smaller angle between the hands of a clock at 05:31.
Answer:
20.5
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*5 + 0.5*31 = 165.50°. 3. Minute hand angle = 6*31 = 186°. 4. Difference = 20.5° (smaller angle).
39
Find the smaller angle between the hands of a clock at 09:39.
Answer:
55.5
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*9 + 0.5*39 = 289.50°. 3. Minute hand angle = 6*39 = 234°. 4. Difference = 55.5° (smaller angle).
40
Find the smaller angle between the hands of a clock at 06:38.
Answer:
29.0
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*38 = 199.00°. 3. Minute hand angle = 6*38 = 228°. 4. Difference = 29.0° (smaller angle).