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
101
Solve for a: 3a/2 - a/3 = 14
Answer:
12
Common denominator is 6. (9a - 2a) / 6 = 14. 7a / 6 = 14. Multiply by 6/7: a = 14 * 6 / 7 = 12.
102
If 1/4 of a number is 7, what is the number?
Answer:
28
Let the number be n. n/4 = 7. Multiply by 4: n = 28.
103
Solve the equation: 4(x - 1) + 2(x + 2) = 18
Answer:
3
Expand: 4x - 4 + 2x + 4 = 18. Combine terms: 6x = 18. Divide by 6: x = 3.
104
If (x + 5)/3 = x - 1, then x is:
Answer:
4
Multiply by 3: x + 5 = 3(x - 1). Expand: x + 5 = 3x - 3. Subtract x: 5 = 2x - 3. Add 3: 8 = 2x. Divide by 2: x = 4.
105
Solve for y: 7y - 5 = 2y + 15
Answer:
4
Subtract 2y: 5y - 5 = 15. Add 5: 5y = 20. Divide by 5: y = 4.
106
The sum of a number and its double is 24. Find the number.
Answer:
8
Let the number be n. The equation is n + 2n = 24. Combine: 3n = 24. Divide by 3: n = 8.
107
Solve the equation: (3x - 1) / 2 = 4
Answer:
3
Multiply by 2: 3x - 1 = 8. Add 1: 3x = 9. Divide by 3: x = 3.
108
If 2.5x + 3 = 8, find x.
Answer:
2
Subtract 3 from both sides: 2.5x = 5. Divide by 2.5: x = 5 / 2.5 = 2.
109
Solve for x: 5(2x - 3) = 15
Answer:
3
Divide both sides by 5: 2x - 3 = 3. Add 3: 2x = 6. Divide by 2: x = 3.
110
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.