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
If the total ages of Iqbal and Shikha is 12 years more than the total ages of Shikha and Charu. Charu is how many years younger than Iqbal?
Answer:
12
(I + S) = (S + C) + 12 => I = C + 12. Therefore, Charu is 12 years younger than Iqbal.
212
The age of a man is 4 times that of his son. 5 years ago, the man was 9 times as old as his son was at that time. What is the present age of the man?
Answer:
32
M = 4S. 5 years ago: M - 5 = 9(S - 5) => 4S - 5 = 9S - 45 => 5S = 40 => S = 8. M = 4 * 8 = 32 years.
213
Three years ago, the ratio of the ages of A and B was 4 : 5. Three years hence, the ratio of their ages will be 5 : 6. What is A's present age?
Answer:
27
Let ages 3 years ago be 4x and 5x. Present ages: 4x+3, 5x+3. In 3 years: (4x+6) / (5x+6) = 5 / 6 => 24x + 36 = 25x + 30 => x = 6. A's present age = 4x + 3 = 24 + 3 = 27.
214
A father is twice as old as his son. 20 years ago, the age of the father was 12 times the age of the son. The present age of the father is:
Answer:
44 years
F = 2S. 20 years ago: F - 20 = 12(S - 20) => 2S - 20 = 12S - 240 => 10S = 220 => S = 22. F = 2(22) = 44 years.
215
The ratio between the present ages of P and Q is 6 : 7. If Q is 4 years older than P, what will be the ratio of the ages of P and Q after 4 years?
Answer:
7 : 8
Ages 6x, 7x. Difference = x = 4. P = 24, Q = 28. After 4 years, P = 28, Q = 32. Ratio = 28 : 32 = 7 : 8.
216
Rohan is as much younger than Anil as he is older than Prashant. If the sum of the ages of Anil and Prashant is 48 years, what is Rohan's age?
Answer:
24
Anil - Rohan = Rohan - Prashant => Anil + Prashant = 2 * Rohan. 48 = 2 * Rohan => Rohan = 24 years.
217
The ratio of the ages of Tina and Rakesh is 9 : 10. Ten years ago, the ratio of their ages was 4 : 5. What is the present age of Rakesh?
Answer:
20 years
Ages 9x, 10x. (9x - 10) / (10x - 10) = 4 / 5 => 45x - 50 = 40x - 40 => 5x = 10 => x = 2. Rakesh = 10x = 20 years.
218
If 6 years are subtracted from the present age of Gagan and the remainder is divided by 18, then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Mahesh whose age is 5 years, then what is Gagan's present age?
Answer:
60 years
Mahesh = 5. Anup = 5 - 2 = 3. (Gagan - 6) / 18 = Anup = 3 => Gagan - 6 = 54 => Gagan = 60 years.
219
The sum of the ages of a mother and her daughter is 50. Twelve years ago, the mother was 12 times as old as her daughter. What is the daughter's present age?
Answer:
14
M + D = 50. M - 12 = 12(D - 12) => (50 - D) - 12 = 12D - 144 => 38 - D = 12D - 144 => 13D = 182 => D = 14 years.
220
The ratio of the ages of Swati and Varun is 2 : 5. After 8 years, their ages will be in the ratio 1 : 2. What is the difference in their present ages?
Answer:
24
Ages: 2x, 5x. (2x + 8) / (5x + 8) = 1 / 2 => 4x + 16 = 5x + 8 => x = 8. Difference = 5x - 2x = 3x = 24 years.