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Question

What is Ravi's present age?
I. The present age of Ravi is half of that of his father.
II.
After 5 years, the ratio of Ravi's age to that of his father's age will be 6 : 11.
III.
Ravi is 5 years younger than his brother.

A
I and II only
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B
II and III only
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C
I and III only
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D
All I, II and III
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E
Even with all the three statements answer cannot be determined.
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Solution

The correct option is A I and II only
I. Let Ravi's present age be x years. Then, his father's present age = 2x years.
II. After 5 years, Ravi's ageFather's age=611
III. Ravi is younger than his brother.
From I and II, we get x+52x+5=611. This gives x, the answer.
Thus, I and II together give the answer. Clearly, III is redundant.
Correct answer is (A)

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