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
141
Solve for m: (m - 2) / 3 = (m + 1) / 4
Answer:
11
Cross-multiply: 4(m - 2) = 3(m + 1). Expand: 4m - 8 = 3m + 3. Subtract 3m: m - 8 = 3. Add 8: m = 11.
142
A father is twice as old as his daughter. The sum of their ages is 45. How old is the daughter?
Answer:
15
Let daughter's age be d. Father's age is 2d. Sum: d + 2d = 45, which gives 3d = 45. Divide by 3: d = 15.
143
If 3y/4 = 15, find y.
Answer:
20
Multiply both sides by 4/3: y = 15 * (4/3) = 5 * 4 = 20.
144
Solve the equation: 2(x + 3) - 5 = 3(x - 2)
Answer:
7
Expand: 2x + 6 - 5 = 3x - 6. Combine constants: 2x + 1 = 3x - 6. Subtract 2x: 1 = x - 6. Add 6: x = 7.
145
The sum of four consecutive integers is 74. What is the largest integer?
Answer:
20
Let integers be x, x+1, x+2, x+3. Sum = 4x + 6 = 74. Subtract 6: 4x = 68. Divide by 4: x = 17. The largest is x+3 = 17+3 = 20.
146
Solve for a: 5a - (2a - 3) = 18
Answer:
5
Distribute the negative sign: 5a - 2a + 3 = 18. Combine terms: 3a + 3 = 18. Subtract 3: 3a = 15. Divide by 3: a = 5. Let me re-read the options. 15/3 = 5. My correct option is marked as d (which is 6). I will correct the option to c.
147
If one-third of a number is 8, what is half of the number?
Answer:
12
Let the number be n. n/3 = 8, so n = 24. Half of the number is 24 / 2 = 12.
148
Solve the equation: x/2 + 3 = x/3 + 5
Answer:
12
Subtract x/3 from both sides: x/2 - x/3 + 3 = 5. Subtract 3: x/2 - x/3 = 2. Find a common denominator (6): (3x - 2x) / 6 = 2, which gives x / 6 = 2. Multiply by 6: x = 12.
149
If 4(x - 1) = 2x + 8, what is the value of x + 5?
Answer:
11
First, solve for x. Expand: 4x - 4 = 2x + 8. Subtract 2x: 2x - 4 = 8. Add 4: 2x = 12. Divide by 2: x = 6. The question asks for x + 5, so 6 + 5 = 11.
150
Solve for y: (3y - 2) / 4 = y - 3
Answer:
10
Multiply both sides by 4: 3y - 2 = 4(y - 3). Expand: 3y - 2 = 4y - 12. Subtract 3y: -2 = y - 12. Add 12: y = 10.