Math Puzzle
Difficulty: Medium
There is a square field of length ‘a’ (any positive real number) whose corners are A,B,C,D in the clockwise direction. Two persons started running from corners A and C along the circumference of the square field in the clockwise direction with integral speeds of v1 and v2.
Initially, at time t=0, distance between them is AC=√2a. Find the time t in terms of a, v1 and v2 when the distance between them is √2a for the next time.
Comments/Solutions are welcome.
Math and Logic Puzzle
Difficulty: Medium
There are 60 records given to you which correspond to a prisoner who is imprisoned for 60 days. He has 6 relatives of which one of them visits him daily and the others visit him every ith day from the day of his imprisonment (i=2,3,4,5,6 for these 5 relatives).
Every record is sealed with the day number on it which implies the number of days he is jailed when the record is filed with the names of visitors on that particular day. You have to make a new record which should be filled with the following details:
visitor name – number of visits after 1st 60 days
Assume that no other relatives visited him at all, names of these 6 relatives are different and you don’t know their names. Find the minimum number of records that need to be checked to make the new record correctly. Find the number of ways you can choose minimum number of records and still you can make the new record correctly.
Comments/Solutions are welcome.
