Latest Gate Aptitude Question SOLUTION: There are 8 bags with same amount of weight.. But one of them is a bit more heavier than remaining. If you have a weighing machine which can measure any amount of weight... In how

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There are 8 bags with same amount of weight.. But one of them is a bit more heavier than remaining. If you have a weighing machine which can measure any amount of weight... In how many least no of measures you can find the odd bag?

Asked In Gate R.RAVIKUMAR (10 years ago)

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Devendra Marghade  (10 years ago)

In 3 measures
(I) Weigh 4 - 4 bag, heavier 4 will be known
(II) Weigh 2 - 2 bag among the heavier, heavier 2 will be known
(III) Weigh 1 - 1 bag among the heavier, heavier 1 odd will be known

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A.RAMAKRISHNAN  (10 years ago)

In 2 measures
(I) Weigh 3 - 3 bag, heavier 3 will be known
(II)Weigh 1 - 1 bag, if both are equal then the 3rd one is heavier.

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SHAIK SABDAR ALI BAIG  (10 years ago)

2 measures is required
explanation:

step 1: 3-3 bags taken, both are equal then remaining 2 will be taken for the second step;
otherwise among them heavier 3 will be taken and
step 2: 1-1 is weigh ; if equal remaining one is heavier bag

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mausam  (10 years ago)

1st step= 4-4(then the heavier side we will get,again divide in equal amount)
2nd step= 2-2
3rd step=1-1 here we find the heavier weight

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SHAIK SABDAR ALI BAIG  (10 years ago)

2 measures is required

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susmita prusty  (10 years ago)

least measures=2
explanation:divide the bags as 3,3 and 2.first weigh 6 bags keeping 3 on one side and 3 on another side.If the heavier bag is present in any of the these than the side which is weighing more , again keep 1 bag on one side and 1 bag on another side ,if the two sides are equal than the 3 bag is the heavier one or else if unequal than the side weighing more is the required one .
case 2:if in starting the weight are equal , than the required bag is present in the rest 2 bags ,now weigh these two bags ,u will come to know the heavier bag

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rajith lakshmanan  (10 years ago)

take equal halves..the one having the bit heavier will be heavier than the other,continue the same..till it come from 4-4,2-2,1-1. So the least measure is 3times

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Manohar  (10 years ago)

only 2 measures are required to find....!!!

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