correct answer is: c) 0.4

Explanation

To find the required least number, we need to find the LCM of the given integers.
Here, the given integers are 0.4,0.08 and 0.016.
Now,
0.4=0.400
0.08=0.080
0.016=0.016
Let, 0.400=400\ ,\ 0.080=80\ ,\ 0.016=16
So, the LCM of 400,80 and 16 is =2\times2\times2\times2\times5\times5=400
\therefore LCM of 0.4,0.08 and 0.016 is 0.4
\therefore The least number is 0.4
Ans: 0.4 is the least number which when divided by 0.4, 0.08 and 0.016, gives integers as quotients.

Additional variations of this particular math query are:

1. Find the smallest number that, when divided by 0.4, 0.08, and 0.016, results in integer quotients.
2. Determine the minimum value that, upon division by 0.4, 0.08, and 0.016, yields whole number outcomes.
3. What is the smallest number that, when divided by 0.4, 0.08, and 0.016, produces integers as the results?
4. Identify the least number that, when divided by 0.4, 0.08, and 0.016, yields integers as the quotient.
5. Calculate the minimum value that, upon division by 0.4, 0.08, and 0.016, yields whole numbers as the quotient.