Problems on Ages
- 1. Ratio of the ages of Mahesh and Nilesh is 5 : x. Mahesh is 18 years younger to Ramesh. After nine years Ramesh will be 47 years old. If the difference between the ages of Mahesh and Nilesh is same as the age of Ramesh, what is the value of x ?
Options- A. 11.8
- B. 12.9
- C. 13.7
- D. 14.5 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 14.5
Explanation:
Let the present ages of Mahesh, Nilesh and Ramesh be k, l and m respectively.
k/l = 5/x ------ (1)
k = m - 18 ------ (2)
m + 9 = 47 ------ (3)
k - l = m ----- (4)
(3) => m = 47 - 9 = 38 years
(2) => k = 38 -18 = 20 years
(1) => 20/l = 5/x => l = 4x
(4) => 4x - 20 = 38
=> 4x = 58 => x = 14.5
- 2. The ages of X and Y are in the proportion of 6:5 and total of their ages is 44 years. The proportion of their ages after 8 years will be
Options- A. 3:6
- B. 6:3
- C. 8:7
- D. 9:5 Discuss
Correct Answer: 8:7
- 3. Eight years ago, Ajay's age was 4/3 times that of Vijay. Eight years hence, Ajay's age will be 6/5 times that of Vijay. What is the present age of Ajay ?
Options- A. 41 yrs
- B. 40 yrs
- C. 37 yrs
- D. 33 yrs Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 40 yrs
Explanation:
Let the present ages of Ajay and Vijay be 'A' and 'V' years respectively.
=> A - 8 = 4/3 (V - 8) and A + 8 = 6/5 (V + 8)
=> 3/4(A - 8) = V - 8 and 5/6(A + 8) = V + 8
V = 3/4 (A - 8) + 8 = 5/6 (A + 8) - 8
=> 3/4 A - 6 + 8 = 5/6 A + 20/3 - 8
=> 10 - 20/3 = 10/12 A - 9/12 A
=> 10/3 = A/12 => A = 40.
- 4. If 6 years are subtracted from the present age of Arun and the remainder is divided by 18, then the present age of his grandson Gokul is obtained. If Gokul is 2 years younger to Madan whose age is 5 years, then what is the age of Arun ?
Options- A. 72 years
- B. 54 years
- C. 60 years
- D. 47 years Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 60 years
Explanation:
Let the Present age of arun is x
Gokul's age = 5-2 = 3
x-6/18 = 3
x-6 = 54
x = 60
Arun's present age = 60 years
- 5. The present average age of a family of five members is 26 years. If the present age of the youngest member in the family is ten years, then what was the average age of the family at the time of the birth of the youngest member ? (Assume no death occurred in the family since the birth of the youngest)
Options- A. 19 years
- B. 16 years
- C. 18 years
- D. 20 years Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 20 years
Explanation:
Present total age of the members = 26(5) = 130 years.
Present age of the youngest member = 10 years
Present total age of the remaining four members = 130 -10 = 120 years
Their average age at the time of the birth of the youngest member = = 30 - 10 = 20 years.
- 6. Mohan was married 5 years ago. At present his age is 6/5 times of his age at the time of marriage. His wife is 3 year younger to him. Find his wife?s present age?
Options- A. 21 yrs
- B. 24 yrs
- C. 27 yrs
- D. 30 yrs Also asked in: Bank Clerk, Bank PO, AIEEE, Bank Exams, CAT, GATE, Analyst
Correct Answer: 27 yrs
Explanation:
Let Mohan present age = p
ATQ,
5/6 x p = p - 5
p = 30
His wifes age = 30 - 3 = 27 yrs.
- 7. Present ages of Deepa and Hyma are in the ratio of 5:6 respectively. After four years, this ratio becomes 6: 7. What is the difference between their present ages?
Options- A. 6 yrs
- B. 4 yrs
- C. 8 yrs
- D. 2 yrs Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 4 yrs
Explanation:
Let the present age of Deepa = 5p
Let the present age of Hyma = 6p
After four years their ratio = 6 : 7
=>
=> 35p + 28 = 36p + 24
=> p = 4
Therefore, the difference between their ages = 24 - 20 = 4 years.
- 8. The average age of A and B, 2 years ago was 26. If the age of A, 5 years hence is 40 yrs, and B is 5 years younger to C, then find the difference between the age of A and C?
Options- A. 11 yrs
- B. 9 yrs
- C. 7 yrs
- D. 13 yrs Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 9 yrs
Explanation:
Let the present ages of A and B be 'x' and 'y' respectively
From the given data,
[(x-2) + (y-2)]/2 = 26
=> x+y = 56
But given the age of A, 5 years hence is 40 yrs => present age of A = 40 - 5 = 35 yrs
=> x = 35 => y = 56 - 35 = 21
=> Age of B = 21 yrs
Given B is 5 years younger to C,
=> Age of C = 21 + 5 = 26 yrs
=> Required Difference between ages of A and C = 35 - 26 = 9 yrs.
- 9. Today is Varun's birthday. One year, from today he will be twice as old as he was 12 years ago. How old is Varun today ?
Options- A. 25 years
- B. 24 years
- C. 23 years
- D. 22 years Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk
Correct Answer: 25 years
Explanation:
Let varun's age = x yrs.
From the given conditions,
x+1 = 2(x-12)
x = 25 years.
- 10. Rajeev's age is four more than the age of Shilpa. The age of Shilpa can be obtained by subtracting four times her age 4 years ago from the four times her age after 4 years. What was Rajeev's age before 4 years ?
Options- A. 36 years
- B. 28 years
- C. 32 years
- D. 40 years Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 32 years
Explanation:
Let Shilpa's present age is p years
According to question,
p = 4(x+4) ? 4(x?4)
p = 4x+16 ? 4x+16
p = 32
Shilpa's present age = 32 years
Rajeev is four years older than Shilpa
=> Shilpa's present age = Rajeev's age 4 years before.
=> Rajeev's age 4 years before = 32 years.
More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.