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
3831
A number divided by 7 gives a quotient of 4 and a remainder of 2. The number is:
Answer:
30
Let the number be n. n = (Divisor * Quotient) + Remainder. n = (7 * 4) + 2 = 28 + 2 = 30.
3832
Solve the equation: 10 - x/3 = 6
Answer:
12
Subtract 10: -x/3 = -4. Multiply by -3: x = 12.
3833
If 3(2x - 4) = 0, then x is:
Answer:
2
Divide by 3: 2x - 4 = 0. Add 4: 2x = 4. Divide by 2: x = 2.
3834
Solve for y: y/4 = y/5 + 2
Answer:
40
Subtract y/5: y/4 - y/5 = 2. Common denominator (20): (5y - 4y) / 20 = 2. This gives y / 20 = 2. Multiply by 20: y = 40.
3835
The perimeter of a square is 48. Find its side length.
Answer:
12
Perimeter = 4 * side. 4s = 48. Divide by 4: s = 12.
3836
Solve the equation: 8 - 2(x + 1) = x - 3
Answer:
3
Expand: 8 - 2x - 2 = x - 3. Combine: 6 - 2x = x - 3. Add 2x: 6 = 3x - 3. Add 3: 9 = 3x. Divide by 3: x = 3.
3837
If (x+1)/2 + (x-1)/3 = 6, find x.
Answer:
7
Multiply by LCM 6: 3(x+1) + 2(x-1) = 30. Expand: 3x + 3 + 2x - 2 = 30. Combine: 5x + 1 = 30. Subtract 1: 5x = 29. This yields x = 5.8. Let me re-calculate: 3x+3 + 2x-2 = 5x+1. 5x=29. My options are integers. Let me adjust the constant on the RHS. If RHS = 6, 5x+1=36 -> x=7. Let me change RHS to 6.
3838
Solve for p: 4(p - 2) + 2 = 10
Answer:
4
Expand: 4p - 8 + 2 = 10. Combine constants: 4p - 6 = 10. Add 6: 4p = 16. Divide by 4: p = 4.
3839
Five times a number decreased by 10 is 40. The number is:
Answer:
10
Let the number be n. The equation is 5n - 10 = 40. Add 10: 5n = 50. Divide by 5: n = 10.
3840
Solve the equation: x + 2x + 3x = 36
Answer:
6
Combine the terms: 6x = 36. Divide by 6: x = 6.