a) 0.011

b) 0.11

c) 0.111

d) 1.111

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:

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