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Question Detail
Which of following statements are required to answer the Actual age of Abhinav ?
1. Five years ago, Abhinav's age was double that of his son's age at that time.
2. Present ages of Abhinav and his son are in the ratio of 11 : 6 respectively.
3. Five years hence, the respective ratio of Abhinav age and his son's age will become 12 : 7.
- 1 and 3
- 2 and 3
- Any two of three
- None of three
Answer: Option C
Explanation:
From 2nd we get, Present ages of Abhinav and his son is 11x and 6x,
From 1st we get, Abhinav's present age = 2 * Son's age
From 3rd we get, 5 years hence, Abhinav age / Son's age = 12 / 7
From clearly we can get Abhinav age from any of two equations.
1. The ages of two persons differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages (in years) are respectively
- 20,20
- 20,10
- 25,15
- 30,10
Answer: Option D
Explanation:
Let their ages be x and (x + 20) years.
5 (x - 5) = (x + 20 - 5) or 4x = 40 or x = 10.
Their present ages are 30 years and 10 years
2. A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is
- 20 years
- 21 years
- 22 years
- 24 years
Answer: Option C
Explanation:
Let the son's present age be x years. Then, man's present age = (x + 24) years
=> (x + 24) + 2 = 2(x + 2)
=> x + 26 = 2x + 4
So, x = 22
3. Ten years ago, P was half of Q in age. If the ratio of their present ages is 3:4, what will be the total of their present ages
- 35
- 34
- 45
- 25
Answer: Option A
Explanation:
Let the present age of P and Q be 3x and 4x respectively.
Ten years ago, P was half of Q in age
=> 2(3x – 10) = (4x – 10)
=> 6x – 20 = 4x – 10
=> 2x = 10
=> x = 5
4. The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the fathers age at that time. The present age of father and son
- 34,11
- 35,10
- 36,9
- 40,5
Answer: Option C
Explanation:
Let sons age = x years. Then fathers age = (45 - x)years.
(x—5)(45—x—5) = 4(45- x - 5) hence (x—5) = 4 so x = 9
Their ages are 36 years and 9 years.
5. Sachin was twice as old as Ajay 10 years back. How old is Ajay today if Sachin will be 40 years old 10 years hence
- 18
- 25
- 15
- 20
Answer: Option D
Explanation:
Sachin's age today = 30 years.
Sachin's age 10 years back = 20 years.
Ajay's age 10 years back = 10 years.
Ajay's age today =20 years
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