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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. Six years ago, the ratio of the ages of Kunal and Sagar was 6:5, Four years hence, the ratio of their ages will be 11:10. What is Sagar age at present
- 10 years
- 12 years
- 14 years
- 16 years
Answer: Option D
Explanation:
Let six years ago the age of Kunal and Sagar are 6x and 5x resp.
then,
\begin{aligned}
=> \frac{(6x+6)+4}{(5x+6)+4} = \frac{11}{10}
\end{aligned}
\begin{aligned}
<=> 10(6x+10) = 11(5x+10)
\end{aligned}
\begin{aligned}
<=> 5x = 10 => x = 2
\end{aligned}
So Sagar age is (5x+6) = 16
2. Raju age after 15 years will be 5 times his age 5 years back, What is the present age of Raju
- 15
- 14
- 10
- 8
Answer: Option C
Explanation:
Clearly,
x+15 = 5(x-5)
<=> 4x = 40 => x = 10
3. Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times of her age 8 years from now. What was ratio of ages of Tanya and her grandfather 8 years ago.
- 11:50
- 11:51
- 11:53
- 11:54
Answer: Option C
Explanation:
Let, Tanya age 16 years ago = x,
Grandfather's age 16 years ago = 8x.
8 years from now, 3(x+16+8) = (8x+16+8)
=> x = 48/5
8 years ago ratio was:
\begin{aligned}
=> \frac{x+8}{8x+8} = \frac{\frac{48}{5}+8}{8 \times \frac{48}{5}+8}
\end{aligned}
\begin{aligned}
=> \frac{88}{424} = \frac{11}{53}
\end{aligned}
4. Average age of A and B is 24 years and average age of B, C and D is 22 years. The sum of the ages of A, B, C and D is
- 90
- 98
- 120
- Data is not adequate
Answer: Option D
5. The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years
- 7:8
- 7:9
- 3:8
- 5:8
Answer: Option A
Explanation:
Let P age and Q age is 6x years and 7x years.
Then 7x - 6x = 4 <=> x = 4
So required ratio will be (6x+4): (7x+4) => 28:32 => 7:8
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