Problems on Ages
- 1. Hari is twice as old as Johnny, who is three years older than Rahul. If Hari's age is five times Rahul's age, how old is Johnny?
Options- A. 2 years
- B. 4 years
- C. 5 years
- D. 8 years Discuss
Correct Answer: 5 years
Explanation:
Suppose the age of Johnny is P years and that of Rahul is Q years.
According to question ,
Age of Hari = 2 × Age of Johnny = 2P
And age of Hari = 5 × Age of Rahul = 5Q
? 2P = 5Q
? 2P ? 5Q = 0 ........(i)
Again age of Johnny = Age of Rahul + 3 years
? P = 3 + Q
? P ? Q = 3........ (ii)
On solving equations (i) and (ii), we get
Q = 2
? Age of Johnny = 3 + Q = 3 + 2 = 5 years
Hence , the age of Johnny is 5 years .
- 2. In a family, mother's age is twice that of daughter's age. Father is 10 years older than mother. Brother is 20 years younger than his mother and 5 years older than his sister. What is the age of the father?
Options- A. 62 years
- B. 60 years
- C. 58 years
- D. 55 years Discuss
Correct Answer: 60 years
Explanation:
Suppose the age of daughter is P years.
Age of brother = age of daughter + 5 years = P + 5 years
Age of mother = 2 × age of daughter = 2P years
According to question ,
? Age of mother - 20 years = Age of brother
? 2P ? 20 = P + 5
? 2P ? P = 5 + 20
? P = 25 years
Age of mother = 2P = 2 × 25 = 50 years
Age of father = Age of mother + 10 years = 50 + 10 = 60 years
- 3. Ashu's mother was three times as old as Ashu 5 years ago. After 5 years she will be twice as old as Ashu. How old is Ashu today?
Options- A. 35 years
- B. 10 years
- C. 20 years
- D. 15 years Discuss
Correct Answer: 15 years
Explanation:
Suppose the present ages of Ashu and her mother be P and Q years respectively.
According to question,
5 years ago , 3 × ( ages of Ashu - 5 ) = ages of Ashu's mother - 5
? 3 ( P - 5 ) = Q - 5
? 3P - 15 = Q - 5
? 3P - Q = 10 ... (i)
Again, After 5 years , 2 × ( ages of Ashu + 5 ) = ages of Ashu's mother + 5
? 2(P + 5) = Q + 5
? 2P + 10 = Q + 5
? 2P ? Q = - 5.... (ii)
From equations (i) and (ii) , we get
P = 15 years
Therefore, Ashu is 15 year old at present.
- 4. Father is 5 years older than mother and mother's age now is thrice the age of the daughter. The daughter is now 10 years old. What was the father's age when the daughter was born?
Options- A. 20 years
- B. 15 years
- C. 25 years
- D. 30 years Discuss
Correct Answer: 25 years
Explanation:
Here , Father = F , Mother = M and Daughter = D
According to question
Age of F = Age of M + 5,
Age of M = 3 × Age of D and Age of D = 10 years
? Age of M = 3 × 10 = 30 years
Therefore, father's present age = 30 + 5 = 35 years
Required answer = father's present age - 10 years = 35 ? 10 = 25 years
- 5. The age of Ram is double that of Shyam and half the of Sohan. Shyam is older than Mohan. Who is the oldest?
Options- A. Mohan
- B. Ram
- C. Sohan
- D. Shyam Discuss
Correct Answer: Sohan
Explanation:
Suppose the age of Shyam = P years
According to question ,
Age of Ram = 2 × age of Shyam = 2P years
Age of Sohan = 4 × age of Shyam = 4P years
? Shyam > Mohan
So, Sohan (4P) > Ram (2P) > Shyam (P) > Mohan
? Sohan is the oldest.
- 6. A is older by 4 years to B at one stage. After 16 years of this stage, A will be thrice his present age and B will be five times his present age. How old would A and B be two years before the initially indicated stage?
Options- A. 8 and 4 years
- B. 10 and 6 years
- C. 6 and 2 years
- D. 12 and 8 years Discuss
Correct Answer: 6 and 2 years
Explanation:
Suppose the ages of A and B are P and Q years respectively.
According to question
Age of A = Age of B + 4 years
? P = Q + 4
After 16 years , Age of A + 16 = 3 x Age of A
? P + 16 = 3P
and Age of B + 16 = 5 x Age of B
? Q + 16 = 5Q
? P = 8 and Q = 4
2 years ago their ages
Age of A = 8 ? 2 = 6 years
Age of B = 4 ? 2 = 2 years
- 7. A is 16 years older than B. But half the age of B is equal to 1/3 of A's age. Find their present age.
Options- A. A = 40, B = 32
- B. A = 48, B = 32
- C. A = 46, B = 30
- D. A = 32, B = 16 Discuss
Correct Answer: A = 48, B = 32
Explanation:
- 8. Today is Ketan's birthday. One year from today he will be twice as old as he was 10 years ago. How old is Ketan today?
Options- A. 19 years
- B. 20 years
- C. 21 years
- D. 22 years Discuss
Correct Answer: 21 years
Explanation:
Suppose the present age of Ketan is P years.
According to question,
present age of Ketan + 1 year = 2 ( present age of Ketan - 10 years )
P + 1 = 2 (P ? 10)
? P + 1 = 2P ? 20
? 2P ? P = 20 + 1
? P = 21 years
Therefore ,present age of Ketan is 21 years .
- 9. The total age of a mother and her daughter is 60 years. The difference between their ages is 30 years. Find out the age of the mother.
Options- A. 40 years
- B. 45 years
- C. 50 years
- D. 55 years Discuss
Correct Answer: 45 years
Explanation:
- 10. 'X' and her grandfather differ in their ages by 50 years. After 6 years, if the sum of their ages is 152, their present ages are
Options- A. 24, 74
- B. 26, 76
- C. 45, 95
- D. 25, 75 Discuss
Correct Answer: 45, 95
Explanation:
More in Verbal Reasoning:
Programming
Copyright ©CuriousTab. All rights reserved.