Ages — connecting three people across two relations: Manoj:Wasim = 3:11 now. Wasim is 12 years younger than Rehana, and Rehana will be 85 after 7 years. Find the present age of Manoj’s father who is 25 years older than Manoj.
Verbal Reasoning
Problems on Ages
Difficulty: Medium
Choose an option
-
A43 yr
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B67 yr
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C45 yr
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D69 yr
Answer
Correct Answer: 43 yr
Explanation
Introduction / Context:This chain problem links Manoj to Wasim, Wasim to Rehana, and then adds a fixed offset for Manoj’s father. Work backward from Rehana.
Given Data / Assumptions:
- Rehana in 7 years = 85 ⇒ Rehana now = 78.
- Wasim is 12 years younger than Rehana ⇒ Wasim = 66.
- Manoj:Wasim = 3:11 ⇒ Manoj = (3/11)*66 = 18.
- Manoj’s father = Manoj + 25.
Concept / Approach:Sequential substitution from the farthest known (Rehana’s future) to the target (Manoj’s father).
Step-by-Step Solution:
Rehana now = 85 − 7 = 78.Wasim = 78 − 12 = 66.Manoj = (3/11)*66 = 18.Father = 18 + 25 = 43.Verification / Alternative check:
All relations are satisfied numerically.Why Other Options Are Wrong:
- 67, 45, 69 conflict with the chain of deductions.
Common Pitfalls:
- Taking “12 years younger” in the wrong direction.
- Using 85 as Rehana’s current age instead of future age.
Final Answer:43 yr