Theere is a firm by name MR Bean and co. and in the firm
there are 20 machines which produce a ball of 1000gms. The
balls are packed and are delivered to another company by
name royal PVT ltd .The production manager of the Royal
company complained that a set of balls produced by a machine
of the 20 machines of MR bean and co are defective..There is
a loss of 100gm in the balls produced by a machine....
You are provided with a weighing machine ...You are to make
use of the machine only once and find the defective machine.
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Answer Posted / scorpio
Take one ball from machine 1, 2 from machine 3 and so on
until machine 20. If none of the machines are defective then
you the weight will be 210 grams. Since one of the machine
is defective, you'll get 100 gms less for all the balls from
that machine.
So, if the weight is 100gm less then machine 1 is defective,
if 200gm less then machine 2 is defective and so on.. you
get the idea.
BTW, a cool trick to find the sum of the sequential numbers
starting with 1 like above (1 to 20) is [multiply by half
then add half]
20*(20/2) + 20/2
Enjoy..
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