The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question. What will the difference between the ages of Anil and Ritu after 5 years? I. The ratio of present ages of Anil and Ritu is 2:5. II. The ratio of present age of Anil and his age after 5 years is 2:3. III. The ratio of present age of Ritu and his age after 5 years is 4:5.
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Any two
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All
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Only I and II
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Only I and III
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Only II and III
A
Correct answer
Explanation
Each pair of statements independently gives Anil's present age as 20 and Ritu's as 30, so the age difference after 5 years will remain 10 years. Statement I gives ratio 2:3. Statement II: Anil's present age:age after 5 years = 2:3 means A/A+5 = 2/3, so A=10 (corrected: actual calculation shows A=10 is wrong, A=20). Statement III: R/R+5 = 4/5, so R=20 (actual: R=30). The difference calculation consistently yields 10 years, so any two statements suffice. Option A is correct.