Question:
What is the age of Ramesh?
I) The sum of Ramesh's age and his brother's age is 50
II) Ramesh is 10 years older than his brother.
What is the age of Ramesh?
I) The sum of Ramesh's age and his brother's age is 50
II) Ramesh is 10 years older than his brother.
I) The sum of Ramesh's age and his brother's age is 50
II) Ramesh is 10 years older than his brother.
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Two distinct linear equations are required to solve for two unknown variables.
Updated On: Jun 26, 2026
- Statement I alone is sufficient
- Statement II alone is sufficient
- Statements I and II together are sufficient
- Statements I and II together are not sufficient
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The Correct Option is C
Solution and Explanation
Step 1: Concept
To find a unique age, we generally need two independent equations for two unknown variables (Ramesh's age and his brother's age).
Step 2: Analysis of Statement I
$R + B = 50$.
One equation with two variables cannot be solved for a unique value. Not sufficient.
Step 3: Analysis of Statement II
$R = B + 10$.
One equation with two variables cannot be solved for a unique value. Not sufficient.
Step 4: Combined Analysis
Using both: $(B + 10) + B = 50 \Rightarrow 2B = 40 \Rightarrow B = 20$.
Then $R = 20 + 10 = 30$.
Both statements together provide a unique solution.
Step 5: Conclusion
Statements I and II together are sufficient, so the choice is (3). Final Answer: (3)
To find a unique age, we generally need two independent equations for two unknown variables (Ramesh's age and his brother's age).
Step 2: Analysis of Statement I
$R + B = 50$.
One equation with two variables cannot be solved for a unique value. Not sufficient.
Step 3: Analysis of Statement II
$R = B + 10$.
One equation with two variables cannot be solved for a unique value. Not sufficient.
Step 4: Combined Analysis
Using both: $(B + 10) + B = 50 \Rightarrow 2B = 40 \Rightarrow B = 20$.
Then $R = 20 + 10 = 30$.
Both statements together provide a unique solution.
Step 5: Conclusion
Statements I and II together are sufficient, so the choice is (3). Final Answer: (3)
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II) Rahul's brother, who was born in 1964, is 35 years younger to his mother. - Who among P, Q, T, V and M is exactly in the middle when they are arranged in ascending order of their heights?
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