Question

How many minimum number of weights you would need to measure any weight from 1kg to 40 kg?

Answer 1

8 weights are needed

Okkkk

Answer 2

Answer:

only 4

Step-by-step explanation:

see how we can measure all the weights using it:

• 1 kg: 1 kg can be measured directly using block of 1 kg.
• 2 kg: To measure 2 kg, we can put 1 kg block with 2 kg and then put 3 kg block against these two, i.e., 2 + 1 = 3.
• Similarly, 5 kg : It can be done using 5 kg + 1 kg + 3 kg = 9 kg.

7 kg : 7 kg + 3 kg = 1 kg + 9 kg.

• Like this we can do for all the weights till 40 kg (40 = 1 + 3 + 9 + 27).
• Hence, the 4 weights required are 1 kg, 3 kg, 9 kg and 27 kg.