correct answer is: a) 0.011

Explanation

To find the required greatest number we need to find the HCF of the given number.
Here, given numbers are 0.121,0.33 and 1.1
Let, _{[remove decimal & rearrange]}
0.121 = 121
0.33 = 330
1.1 = 1100
So, HCF of 121,330 and 1100 is = 11
So that, HCF of 0.121,0.33 and 1.1 is = 0.011 _{[3 digits after decimal point]}
\therefore The greatest number that is exactly divisible by 0.121, 0.33 and 1.1, giving integers as quotients, is 0.011.
Ans: 0.011 is the greatest number.

An alternative way to phrase this particular math query is possible:

1. What is the largest number by which 0.121, 0.33, and 1.1 can be divided to yield integer quotients?
2. By what largest number can 0.121, 0.33, and 1.1 be divided to produce integers as quotients?
3. Determine the greatest divisor that makes 0.121, 0.33, and 1.1 divisible with integer results.
4. Find the maximum value that divides 0.121, 0.33, and 1.1 evenly, resulting in whole numbers.
5. Identify the greatest divisor that ensures 0.121, 0.33, and 1.1 are divisible, giving integer quotients.