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
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).
2
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).
3
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).
4
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).
5
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).
6
Find the smaller angle between the hands of a clock at 11:53.
Answer:
38.5
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*53 = 356.50°. 3. Minute hand angle = 6*53 = 318°. 4. Difference = 38.5° (smaller angle).
7
Find the smaller angle between the hands of a clock at 03:47.
Answer:
168.5
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*47 = 113.50°. 3. Minute hand angle = 6*47 = 282°. 4. Difference = 168.5° (smaller angle).
8
Find the smaller angle between the hands of a clock at 10:56.
Answer:
8.0
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*56 = 328.00°. 3. Minute hand angle = 6*56 = 336°. 4. Difference = 8.0° (smaller angle).
9
Find the smaller angle between the hands of a clock at 05:51.
Answer:
130.5
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*51 = 175.50°. 3. Minute hand angle = 6*51 = 306°. 4. Difference = 130.5° (smaller angle).
10
Find the smaller angle between the hands of a clock at 05:11.
Answer:
89.5
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*11 = 155.50°. 3. Minute hand angle = 6*11 = 66°. 4. Difference = 89.5° (smaller angle).