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
Find the smaller angle between the hands of a clock at 11:23.
Answer:
156.5
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*11 + 0.5*23 = 341.50°. 3. Minute hand angle = 6*23 = 138°. 4. Difference = 156.5° (smaller angle).
12
Find the smaller angle between the hands of a clock at 02:20.
Answer:
50.0
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*20 = 70.00°. 3. Minute hand angle = 6*20 = 120°. 4. Difference = 50.0° (smaller angle).
13
Find the smaller angle between the hands of a clock at 10:46.
Answer:
47.0
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*46 = 323.00°. 3. Minute hand angle = 6*46 = 276°. 4. Difference = 47.0° (smaller angle).
14
Find the smaller angle between the hands of a clock at 06:08.
Answer:
136.0
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*8 = 184.00°. 3. Minute hand angle = 6*8 = 48°. 4. Difference = 136.0° (smaller angle).
15
Find the smaller angle between the hands of a clock at 03:37.
Answer:
113.5
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*37 = 108.50°. 3. Minute hand angle = 6*37 = 222°. 4. Difference = 113.5° (smaller angle).
16
Find the smaller angle between the hands of a clock at 11:13.
Answer:
101.5
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*11 + 0.5*13 = 336.50°. 3. Minute hand angle = 6*13 = 78°. 4. Difference = 101.5° (smaller angle).
17
Find the smaller angle between the hands of a clock at 06:58.
Answer:
139.0
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*58 = 209.00°. 3. Minute hand angle = 6*58 = 348°. 4. Difference = 139.0° (smaller angle).
18
Find the smaller angle between the hands of a clock at 08:22.
Answer:
119.0
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*22 = 251.00°. 3. Minute hand angle = 6*22 = 132°. 4. Difference = 119.0° (smaller angle).
19
Find the smaller angle between the hands of a clock at 04:54.
Answer:
177.0
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*54 = 147.00°. 3. Minute hand angle = 6*54 = 324°. 4. Difference = 177.0° (smaller angle).
20
Find the smaller angle between the hands of a clock at 02:50.
Answer:
145.0
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*50 = 85.00°. 3. Minute hand angle = 6*50 = 300°. 4. Difference = 145.0° (smaller angle).