Question 12

Question 12 :
Further ahead in the market, Mario finds a huge bag containing 171 mushrooms. He reads the label - “Weighing from 1 to 171 kgs, all varieties within”. Mario is puzzled as he does not know which mushrooms weighs what. He goes to a stone seller who had an offer of “Buy 1, Get 2 Identical Stones Free”. Mario asks him for the different kinds of stones and tells that he can use these to measure any of the mushroom accurately(using common balance). How many different kinds of stones does he buy? (Minimum )

Answer will surely be 3 and the types will be
1,7,49

The answer should be 4
The types would be 1,4,16,64

The answer is surely 4.
They are 1,4,16 and 64

But it is a common balance and hence you can add weights on both sides and types will be 1,7,49 and answer 3

Answer could be 1 also, he will buy 1 kg stone and later will use mushrooms as weighs.

But he don`t know which mushroom is weighting what.But your point is right he will first judge a 1 kg mushroom then 2 3 and so on but i this 3 is appropriate.

If we do not consider adding wts or mushrooms on both sides, the answer is surely 4.1,4,16,64

how can we measure three kg with 1 7 49?

We can measure by using 1 kg three times.we get three stones

How can u measure 25to 48 kg here in 1 7 and 49

25 is like keep 49 at other half and 24 ( all 1s and 7s)
26 is liek remove one 1
Same till 28
Then in 29
Add one on 49 and 3 on oppsite side to get 50-21=29
Like this continue on and on

The answer is surely 4
1,4,16,64

We believe its 5 weights, 1,3,9,27 and 81.

If we can use mushrooms , then 1 stone is enough to weigh all mushrooms..
If not , then 4 types should be the answer :1,4,16,64

He buy 1kg stone then he identifi 1kg mushroom then he add 1kg srone and 1kg mushroom for 2 kg mushroom then he takes 2kg mushroom and 1kg stone for 3kg mushroom then add 1kg stone with 3 kg mushroom for 4 kg mushroom ans so on plz support my ans if u understand

I got 3