Question

There are 5 rooms. Each room has 50 bags of rice. All bags weigh 100 kg, except in
one room where the bags weigh only 99 kg. You are allowed to weigh any number
of bags from any room, but only once. How will you find out which room has the
bags weighing 99 kg?​

Answer 1

Since we have given that

Number of rooms = 5

Number of bags of rice each room has = 50

According to question, all bags weigh 100 kg except in one room where the bags with only 99 kg.

Since in the 4 rooms, all bags weigh = 100 kg.

So, Weight of one bag is given by

$\frac{100}{50}$

$= 2kg$

In one bag, all bags weigh = 99 kg

So, Weight of one bag is given by

$\frac{99}{50}$

$= 1.98$

Hence, whenever we find a bag whose weight is 1.98 kg, then we will get that room weighing 99 kg.

hope it helps