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Multiple Choice Questions

Arun and Bhadra are brothers In how many years from now will Bhadra rsquo s age be 50 years I The ra...........

Quantitative Aptitude (RBI Grade B) Data Sufficiency

Directions : Each of the following questions is followed by three statements I, II and III. Find out whether the data given in each statement is sufficient to answer the questions.

Arun and Bhadra are brothers. In how many years from now will Bhadra’s age be 50 years?

I. The ratio of the current ages of Arun and Bhadra is 5:7 respectively.

II. Bhadra was born 10 years before Arun.

III. 5 years hence, Arun’s age would be three-fourth of Bhadra’s age at that time.

This questions was previously asked in

RBI Grade B 2016

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Any two of the three

Only II and either I or III

All I, II and III

Only II and III

Only I and III

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Explanation:

Any two of the three

- Statement I tells us: The ratio of Arun's and Bhadra's current ages is 5:7. This means if we know one age, we can find the other.
- Statement II informs us that Bhadra was born 10 years before Arun. This gives a direct age difference between them.
- Statement III states: In 5 years, Arun's age will be three-fourths of Bhadra's age. This helps determine specific ages at a future point.

To find when Bhadra will be 50, we need to establish his current age. Using any two of the three statements:
- Statements I and II together: We can set up equations with the age ratio and age difference to find Bhadra’s current age.
- Statements II and III together: We can establish the age difference and future age relationship to solve for current ages.
- Statements I and III together: We can use ratio and future age condition, solving for current ages.

Given multiple ways to find Bhadra's age, **the correct solution is**:

✅ **Option 1: Any two of the three** statements are sufficient to solve the problem.

YOUR ANSWER IS RIGHT

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