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
181
If 6(x - 2) = 24, find the value of x.
Answer:
6
Divide both sides by 6: x - 2 = 4. Add 2 to both sides: x = 6.
182
Solve for a: a/2 - a/4 = 3
Answer:
12
Common denominator is 4. The equation becomes 2a/4 - a/4 = 3. This simplifies to a/4 = 3. Multiply by 4: a = 12.
183
A number is increased by 15% to become 138. Find the original number.
Answer:
120
Let the number be x. An increase of 15% means the new value is 115% of x. So, 1.15x = 138. Divide by 1.15: x = 138 / 1.15 = 120.
184
If 2x/5 = 10, then x is:
Answer:
25
Multiply both sides by 5: 2x = 50. Divide by 2: x = 25.
185
Solve the equation: 4x - (x + 2) = 13
Answer:
5
Distribute the negative sign: 4x - x - 2 = 13. Combine terms: 3x - 2 = 13. Add 2: 3x = 15. Divide by 3: x = 5.
186
Find the value of x if 3x - 1/2 = 5/2
Answer:
1
Add 1/2 to both sides: 3x = 5/2 + 1/2. Combine fractions: 3x = 6/2, which means 3x = 3. Divide by 3: x = 1.
187
A rectangle's length is 4 cm more than its width. If the perimeter is 40 cm, find its width.
Answer:
8 cm
Let width be w. Length is w + 4. Perimeter = 2 * (length + width) = 40. So, 2 * (w + 4 + w) = 40. This simplifies to 2 * (2w + 4) = 40. Divide by 2: 2w + 4 = 20. Subtract 4: 2w = 16. Divide by 2: w = 8.
188
Solve: (2x + 5) / 3 = x - 1
Answer:
8
Multiply both sides by 3: 2x + 5 = 3(x - 1). Expand: 2x + 5 = 3x - 3. Subtract 2x: 5 = x - 3. Add 3: x = 8.
189
If 10 - 3x = -5, then x equals:
Answer:
5
Subtract 10 from both sides: -3x = -5 - 10, which is -3x = -15. Divide by -3: x = -15 / -3 = 5.
190
Solve for y: 2(3y - 1) - 3(y + 2) = 1
Answer:
3
Expand: 6y - 2 - 3y - 6 = 1. Combine like terms: 3y - 8 = 1. Add 8: 3y = 9. Divide by 3: y = 3.