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
6751
12 men can complete a job in 29 days working 6 hours per day. How many days will 17 men take if they work 4 hours per day?
Answer:
30.71
Step-by-step solution: 1. Total work is proportional to men * days * hours. 2. Initial work units = 12 * 29 * 6 = 2088. 3. New daily work = 17 * 4. 4. New days = 2088 / (17 * 4) = 30.71.
6752
10 men can complete a job in 27 days working 6 hours per day. How many days will 15 men take if they work 4 hours per day?
Answer:
27.0
Step-by-step solution: 1. Total work is proportional to men * days * hours. 2. Initial work units = 10 * 27 * 6 = 1620. 3. New daily work = 15 * 4. 4. New days = 1620 / (15 * 4) = 27.0.
6753
14 men can complete a job in 27 days working 6 hours per day. How many days will 19 men take if they work 4 hours per day?
Answer:
29.84
Step-by-step solution: 1. Total work is proportional to men * days * hours. 2. Initial work units = 14 * 27 * 6 = 2268. 3. New daily work = 19 * 4. 4. New days = 2268 / (19 * 4) = 29.84.
6754
11 men can complete a job in 19 days working 7 hours per day. How many days will 16 men take if they work 5 hours per day?
Answer:
18.29
Step-by-step solution: 1. Total work is proportional to men * days * hours. 2. Initial work units = 11 * 19 * 7 = 1463. 3. New daily work = 16 * 5. 4. New days = 1463 / (16 * 5) = 18.29.
6755
13 men can complete a job in 27 days working 9 hours per day. How many days will 18 men take if they work 7 hours per day?
Answer:
25.07
Step-by-step solution: 1. Total work is proportional to men * days * hours. 2. Initial work units = 13 * 27 * 9 = 3159. 3. New daily work = 18 * 7. 4. New days = 3159 / (18 * 7) = 25.07.
6756
10 men can complete a job in 19 days working 6 hours per day. How many days will 15 men take if they work 4 hours per day?
Answer:
19.0
Step-by-step solution: 1. Total work is proportional to men * days * hours. 2. Initial work units = 10 * 19 * 6 = 1140. 3. New daily work = 15 * 4. 4. New days = 1140 / (15 * 4) = 19.0.
6757
10 men can complete a job in 21 days working 8 hours per day. How many days will 15 men take if they work 6 hours per day?
Answer:
18.67
Step-by-step solution: 1. Total work is proportional to men * days * hours. 2. Initial work units = 10 * 21 * 8 = 1680. 3. New daily work = 15 * 6. 4. New days = 1680 / (15 * 6) = 18.67.
6758
11 men can complete a job in 25 days working 9 hours per day. How many days will 16 men take if they work 7 hours per day?
Answer:
22.1
Step-by-step solution: 1. Total work is proportional to men * days * hours. 2. Initial work units = 11 * 25 * 9 = 2475. 3. New daily work = 16 * 7. 4. New days = 2475 / (16 * 7) = 22.1.
6759
10 men can complete a job in 25 days working 8 hours per day. How many days will 15 men take if they work 6 hours per day?
Answer:
22.22
Step-by-step solution: 1. Total work is proportional to men * days * hours. 2. Initial work units = 10 * 25 * 8 = 2000. 3. New daily work = 15 * 6. 4. New days = 2000 / (15 * 6) = 22.22.
6760
Simplify sqrt(196).
Answer:
7sqrt4
Step-by-step solution: 1. Express the radicand as a product of a perfect square and another factor. 2. 196 = 7² * 4. 3. Extract the square root of the perfect square to obtain 7sqrt4.