Directions for questions: Read the information carefully and answer the questions given below.

B1, B2, B3, B4, B5, B6 and B7 are brothers. Two brothers had an argument and B1 said to B2, “you are as old as B3 was when I was twice as old as B4, and will be as old as B5 was when he was as old as B3 is now”. B2 said to B1, “You may be older than B6 but B7 is as old as I was when you were as old as B7 is, and B4 will be as old as B6 was when B6 will be as old as B7 is”.

Who is the eldest brother?

Option 1 -

B1

Option 2 -

B5

Option 3 -

B3

Option 4 -

Cannot be determined

0 1 View | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • P

    Answered by

    Payal Gupta | Contributor-Level 10

    2 months ago
    Correct Option - 2


    Detailed Solution:

    From the 1st statement: B2 is now as old as B3 was in the past. Hence B2 is younger to B3 or B2 < B3. Also sometime in the past B1 was twice as old as B4. So B1 is elder to B4 or B1 > B4. B3 will be as old as B5 in future, hence B3 < B5. The second statement suggests: B1 > B6. B1 was as old as B7 in the past. Hence B1 > B7. B4 will be as old as B6 in future. Hence B6 > B4. B6 will be as old as B7 now in future. Hence B7 > B6. B7 was as old as B2, when B1 was as old as B7. Hence B1 = B2. Combining both the results, we get: and B5 > B3 > B2 = B1 > B7 > B6 > B4 (Note by B1 = B2, it is meant that they are of similar age group, not necessarily the same).

    B5 is the eldest brother.

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