Brain Teasers
Height vs Weight !!!
Among four boys - Prashant, Vineet, Tarun and Kiran - the following comparisons of height and weight are made. The shorter of Tarun and Kiran is the heaviest of all four. The lighter of Prashant and Vineet is the tallest of all four. The shorter of Vineet and Tarun is the heavier of the two. The taller of Prashant and Kiran is the lightest of all the four. Tarun is not lighter than Vineet and not heavier than Kiran. No two boys are equal in either height or weight. Can you determine the shortest boy and the lightest boy among the four boys?
Answer
Let us list the observations about the four boys Prashant, Vineet, Tarun and Kiran.1) The shorter of Tarun and Kiran is the heaviest of all four.
2) The lighter of Prashant and Vineet is the tallest of all four.
3) The shorter of Vineet and Tarun is the heavier of the two.
4) The taller of Prashant and Kiran is the lightest of all the four.
5) Tarun is not lighter than Vineet and not heavier than Kiran.
6) No two boys are equal in either height or weight.
From observation 5, Tarun must be heavier than Vineet and lighter than Kiran using observation 6 which states that no two boys are equal in weight.
Since Tarun is heavier than Vineet, from observation 3 Tarun must be the shorter of the two. Also since Tarun is lighter than Kiran, from observation 1 Tarun must be taller than Kiran, resulting in Kiran being the heaviest of all the four (from observation 1).
Since Kiran is the heaviest of all the four, from observation 4, Prashant must be lighter than Kiran resulting in Prashant being the lightest of all the four (from observation 4).
Now we know that Tarun is shorter than Vineet. From observation 2, Prashant is the tallest of all the four since he is the lightest in the group. Also we have Tarun must be taller than Kiran, thus making Kiran the shortest in the group. (Kiran is shorter than Tarun who is shorter than Vineet with Prashant as the tallest in the group).
Thus ranking them according to height and weight, we get the following table
Rank Height Weight
1 Prashant Kiran
2 Vineet Tarun
3 Tarun Vineet
4 Kiran Prashant
Hence Kiran is the shortest and Prashant the lightest of the four boys.
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Comments
Thats very fun
Really reminds me of my Non-Boxer teaser.
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