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
3811
A number multiplied by 3 and divided by 2 gives 18. What is the number?
Answer:
12
Let the number be n. (3n) / 2 = 18. Multiply by 2/3: n = 18 * 2 / 3 = 12.
3812
Solve the equation: x + (x + 2) + (x + 4) = 30
Answer:
8
Combine like terms: 3x + 6 = 30. Subtract 6: 3x = 24. Divide by 3: x = 8.
3813
If 4(y - 2) = 2(y + 6), find y.
Answer:
10
Expand: 4y - 8 = 2y + 12. Subtract 2y: 2y - 8 = 12. Add 8: 2y = 20. Divide by 2: y = 10.
3814
Solve for k: 3k/5 - 2 = 4
Answer:
10
Add 2 to both sides: 3k/5 = 6. Multiply by 5/3: k = 6 * 5 / 3 = 10.
3815
When 15 is subtracted from a number, the result is 12. The number is:
Answer:
27
Let the number be n. n - 15 = 12. Add 15: n = 27.
3816
Solve the equation: (2x - 3) / 4 = 5
Answer:
11.5
Multiply by 4: 2x - 3 = 20. Add 3: 2x = 23. Divide by 2: x = 23/2 = 11.5.
3817
If 2x/3 + 1 = 7, find the value of 3x.
Answer:
27
Subtract 1: 2x/3 = 6. Multiply by 3/2: x = 6 * 3 / 2 = 9. The question asks for 3x, so 3 * 9 = 27.
3818
Solve for a: 5(a - 2) = 3a + 4
Answer:
7
Expand: 5a - 10 = 3a + 4. Subtract 3a: 2a - 10 = 4. Add 10: 2a = 14. Divide by 2: a = 7.
3819
The difference between a number and its one-fourth is 15. The number is:
Answer:
20
Let the number be n. Equation: n - n/4 = 15. Combine: 3n/4 = 15. Multiply by 4/3: n = 15 * 4 / 3 = 20.
3820
Solve the equation: 0.5x + 0.3x = 6.4
Answer:
8
Combine terms: 0.8x = 6.4. Divide by 0.8: x = 6.4 / 0.8 = 64 / 8 = 8.