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
211
Solve the equation: 5(2y - 1) = 3(y + 3)
Answer:
2
Expand: 10y - 5 = 3y + 9. Subtract 3y: 7y - 5 = 9. Add 5: 7y = 14. Divide by 7: y = 2.
212
A number multiplied by 5 and then increased by 8 gives 43. The number is:
Answer:
7
Let the number be n. The equation is 5n + 8 = 43. Subtract 8: 5n = 35. Divide by 5: n = 7.
213
If the sum of two consecutive integers is 45, what is the smaller integer?
Answer:
22
Let the consecutive integers be x and x + 1. Their sum is x + (x + 1) = 45. Combine terms: 2x + 1 = 45. Subtract 1: 2x = 44. Divide by 2: x = 22. The smaller integer is 22.
214
Solve for m: 2m + 5 = 3m - 7
Answer:
12
Subtract 2m from both sides: 5 = m - 7. Add 7 to both sides: m = 12.
215
Find the value of x: (x + 3) / 4 = (x - 2) / 3
Answer:
17
Cross-multiply to eliminate fractions: 3(x + 3) = 4(x - 2). Expand: 3x + 9 = 4x - 8. Subtract 3x from both sides: 9 = x - 8. Add 8: x = 17.
216
If 4(a + 2) - 2(a - 1) = 14, what is a?
Answer:
2
Expand the terms: 4a + 8 - 2a + 2 = 14. Combine like terms: 2a + 10 = 14. Subtract 10: 2a = 4. Divide by 2: a = 2.
217
Solve the equation: x - 2x/3 = 12
Answer:
36
Find a common denominator: (3x - 2x) / 3 = 12. This simplifies to x / 3 = 12. Multiply by 3: x = 36.
218
Three times a number decreased by 4 is equal to 17. Find the number.
Answer:
7
Let the number be x. The equation is 3x - 4 = 17. Add 4 to both sides: 3x = 21. Divide by 3: x = 7.
219
The sum of a number and its half is 30. What is the number?
Answer:
20
Let the number be x. The equation is x + x/2 = 30. Combine the terms: (3/2)x = 30. Multiply by 2/3: x = 30 * (2/3) = 20.
220
If 2(y - 4) = 4(y + 2), find y.
Answer:
-8
Expand both sides: 2y - 8 = 4y + 8. Subtract 2y from both sides: -8 = 2y + 8. Subtract 8 from both sides: -16 = 2y. Divide by 2: y = -8.