1) You have 8 coins. 3 of them weigh x units, 3 y
units, 1 a units and 1 b units. They are all mixed and look
identical. You have to find the lightest coin in minimum
number of weighing .
Answers were Sorted based on User's Feedback
Answer / pratik taank
Hi Dinesh,
This is regarding ur above answer.
i think u are wrong.
Step-1 is ok.
Step-2 is not - Plz see explanation below.
When in step-2 u divide 4 coins in 2 pairs, it is not necessary that lighter coin will be on the lighter side, it can be on a heavier side for ex -
there r 4 coins, their wts are 2gm, 8gm, 3gm, 4gm
put them in balance- 2gm and 8gm on 1 side
3gm and 4gm on other side.
now the lighter coins is in heavier side, now u have ignored this logic. try something new buddy!!!
Is This Answer Correct ? | 6 Yes | 1 No |
Answer / pratik
Shreyas, you don't know which is x and which is y (since
all coins are alike) , that was mistake i was doing before.
Is This Answer Correct ? | 5 Yes | 4 No |
Answer / ankita
We can make pair of two. Then out of each pair, find out the lightest and then form two pairs. Again find the lightest coin in each pair and then form a pair of obtained coins. Lightest of these two is the one required. Total 7 steps. I think this is the answer.
Is This Answer Correct ? | 4 Yes | 4 No |
Answer / shreyas
They look alike means that they are identical in size and shape.
It can still be named as X, Y, A and B.
Its like Rs.1, Rs.2, Rs.3 are in the same shape and size. But you can tell which is what.
Is This Answer Correct ? | 5 Yes | 8 No |
Answer / dinesh thouna
as there are 8 coins..put 4 on one side and the other remaining 4 on the other side.. obviously one side will be lighter..
now the possible combinations of coins which can be on the lighter side are:
1)x,x,,x,a 2)x,x,x,b 3)x,x,x,y 4)x,x,y,y 5)3)x,x,y,a 4)x,x,y,b 5)x,x,a,b 6)x,y,a,b 7)x,y,y,a 8)x,y,y,b 9)x,y,y,y 10)y,y,y,a 11)y,y,y,b 12)y,y,a,b
well whatever the combination be, you need to divide it again into a group of 2-2..you will again get a lighter group..finally compare the last two coin and u will get the lightest coin of the 8 coins given...
so, that makes a total of 3 steps..
thumbs up..!! :)
# refer the above possibilities to get a clearer picture
Is This Answer Correct ? | 2 Yes | 5 No |
Answer is 1.
We will use a weigh measurement machine.
Initially, it will show weight @ zero. Now start putting coin one-by-one and measure the weight every-time a coin is placed. Where the difference in unit weight is minimum, then that coin will be the lightest.
Eg. when coin 1 is placed- total weight = 30 gms
when coin 2 is placed- total weight = 40 gms (cumulatively)
when coin 3 is placed- total weight = 45 gms (cumulatively)
So the lightest coin is 3rd coin.
Is This Answer Correct ? | 7 Yes | 12 No |
Answer / shreyas
Weigh X and Y. And see which is the lightest.
take the lightest of X and Y and weigh it against A or B. See which is the lightest among them and weigh it against the remaining coin.
So the answer is 3 weighs.
Is This Answer Correct ? | 2 Yes | 15 No |
Answer / pratik
3
1. 3 coins of x unit on 1 side and 3 coins of y unit on the
other (let winner is x)
2. a coin of a unit on 1 side and a coins of b unit on the
other (let winner is a)
3. a on 1 side and x on the other (winner declared)
Is This Answer Correct ? | 13 Yes | 30 No |
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