correct answer is: a) KaTeX parse error: KaTeX doesn't work in quirks mode.

Explanation

To find the required greatest number we need to find the HCF of the given number.
Here, given numbers are KaTeX parse error: KaTeX doesn't work in quirks mode. and KaTeX parse error: KaTeX doesn't work in quirks mode.
Let, _{[remove decimal & rearrange]}
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
KaTeX parse error: KaTeX doesn't work in quirks mode.
So, HCF of KaTeX parse error: KaTeX doesn't work in quirks mode. and KaTeX parse error: KaTeX doesn't work in quirks mode. is KaTeX parse error: KaTeX doesn't work in quirks mode.
So that, HCF of KaTeX parse error: KaTeX doesn't work in quirks mode. and KaTeX parse error: KaTeX doesn't work in quirks mode. is KaTeX parse error: KaTeX doesn't work in quirks mode. _{[3 digits after decimal point]}
KaTeX parse error: KaTeX doesn't work in quirks mode. The greatest number that is exactly divisible by KaTeX parse error: KaTeX doesn't work in quirks mode. and KaTeX parse error: KaTeX doesn't work in quirks mode. giving integers as quotients, is KaTeX parse error: KaTeX doesn't work in quirks mode.
Ans: KaTeX parse error: KaTeX doesn't work in quirks mode. 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.