All Categories MCQs
Topic Notes: All Categories
General Description
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
7051
The average age of 3 children is 10. If their ages are in the ratio 1:2:3, what is the age of the youngest child?
Answer:
5
Sum = 30. Ratio 1:2:3 (sum of parts = 6). 6 parts = 30 => 1 part = 5. Youngest = 5.
7052
A is twice as old as B. B is 10 years older than C. If C is 15, what is the sum of their ages?
Answer:
90
C = 15. B = 25. A = 50. Sum = 50 + 25 + 15 = 90.
7053
The ratio of ages of two friends is 3:4. If the older friend is 28 years old, how old is the younger friend?
Answer:
21
4 parts = 28 => 1 part = 7. Younger friend = 3 parts = 21.
7054
If 10 years are subtracted from a man's age, and the result is divided by 5, the present age of his grandson is obtained. If the grandson is 4 years old, what is the man's age?
Answer:
30
(M - 10) / 5 = 4 => M - 10 = 20 => M = 30.
7055
The sum of ages of a group of 5 friends is 125. What will be the sum of their ages after 5 years?
Answer:
150
Sum increases by 5 * 5 = 25. New sum = 125 + 25 = 150.
7056
A boy's age is 1/4 of his mother's age. If the mother is 24 years older than the boy, what is the mother's age?
Answer:
32
B = M/4 => M = 4B. M = B + 24. 4B = B + 24 => 3B = 24 => B = 8. M = 32.
7057
The ratio of the ages of P and Q is 3:5. The product of their ages is 135. What is P's age?
Answer:
9
Ages 3x, 5x. Product = 15x^2 = 135 => x^2 = 9 => x = 3. P = 3(3) = 9.
7058
A is 1/3 as old as B. B is 1/2 as old as C. If C is 60, what is the sum of their ages?
Answer:
100
C = 60. B = 30. A = 10. Sum = 60 + 30 + 10 = 100.
7059
The present age of A is 5 times the age of B. If the sum of their ages is 72, what will be A's age after 5 years?
Answer:
65
A = 5B. A + B = 6B = 72 => B = 12. A = 60. After 5 years, A = 65.
7060
In a family, the father is 4 years older than the mother. The mother is 3 times as old as the daughter. If the daughter is 12 years old, what is the father's age?
Answer:
40
Daughter = 12. Mother = 3 * 12 = 36. Father = 36 + 4 = 40.