correct answer is: c) 0.15 kg

Explanation

To find the weight of maximum measure we need to find the HCF of the given quantities.
Here, given quantities are 0.15 kg , 0.3 kg and 0.75 kg.
Let, _{[Remove decimals for matching]}
0.15 = 15
0.3 = 30
0.75 = 75
So, HCF of 15,30 and 75 is = 15.
So that, HCF of 0.15 kg , 0.3 kg and 0.75 kg is = 0.15 kg _{[put 2 digits after decimal point]}
\therefore 0.15 kg is the maximum weight by which 0.15 kg , 0.3 kg and 0.75 kg may be measured whole number of times.
Ans: 0.15 kg is the maximum weight.

Alternative phrasings for this particular math query are:

1. Find the weight of the largest quantity that can measure 0.15 kg, 0.3 kg, and 0.75 kg with integer results.
2. Calculate the heaviest weight by which 0.15 kg, 0.3 kg, and 0.75 kg can be measured to yield whole numbers.
3. What is the maximum weight that can be used to measure 0.15 kg, 0.3 kg, and 0.75 kg without remainder?
4. Identify the weight of the largest measure that ensures 0.15 kg, 0.3 kg, and 0.75 kg can be measured as whole numbers.