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
221
Solve for x: 0.5x + 1.2 = 3.7
Answer:
5
Subtract 1.2 from both sides: 0.5x = 3.7 - 1.2, so 0.5x = 2.5. Divide by 0.5 (which is the same as multiplying by 2): x = 2.5 / 0.5 = 5.
222
Find the value of p if (p / 3) - 2 = p / 5
Answer:
15
Bring 'p' terms together: p/3 - p/5 = 2. Find a common denominator (15): (5p - 3p) / 15 = 2. This simplifies to 2p / 15 = 2. Multiply by 15: 2p = 30. Divide by 2: p = 15.
223
What is the root of the equation 3(2x + 1) = 15?
Answer:
2
Divide both sides by 3: 2x + 1 = 5. Subtract 1 from both sides: 2x = 4. Divide by 2: x = 2.
224
Solve the equation: 7x + 2 = 5x + 14
Answer:
6
Subtract 5x from both sides: 2x + 2 = 14. Subtract 2 from both sides: 2x = 12. Divide by 2: x = 6.
225
If 5(a - 3) = 10, then a equals:
Answer:
5
Divide both sides by 5: a - 3 = 2. Add 3 to both sides: a = 2 + 3 = 5. Alternatively, distribute: 5a - 15 = 10 -> 5a = 25 -> a = 5.
226
Solve: (x / 2) + 3 = 7
Answer:
8
Subtract 3 from both sides: x / 2 = 7 - 3, so x / 2 = 4. Multiply both sides by 2 to isolate x: x = 4 * 2 = 8.
227
Find the value of z in the equation: 4z - 7 = z + 8
Answer:
5
Move all 'z' terms to one side by subtracting z from both sides: 3z - 7 = 8. Move the constant to the other side by adding 7: 3z = 15. Divide by 3: z = 5.
228
If 2y + 8 = 20, what is the value of y?
Answer:
6
Subtract 8 from both sides: 2y = 20 - 8. This simplifies to 2y = 12. Divide by 2: y = 12 / 2 = 6.
229
Solve for x: 3x - 5 = 10
Answer:
5
To isolate x, add 5 to both sides of the equation: 3x = 10 + 5. This simplifies to 3x = 15. Divide both sides by 3: x = 15 / 3 = 5.