In the below given question, a few statements have been given. Analyse the given statements and answer whether the data given in the statements are sufficient to answer the question or not.

I. In a certain code language, 'no one with face' is coded as 'fo to om sop' and 'no one has face' is coded as 'om sit fo sop'

II. In a certain code language, 'face of no light' is coded as 'om mot fo kiz' and 'no one is smart' is coded as 'sop fo sip lik'.

How is 'face' written in that code language?

Solution:

Considering statement I alone:

I. In a certain code language,

'no one with face' is coded as 'fo to om sop'

And 'no one has face' is coded as 'om sit fo sop'.

Here, 'no', 'one', and 'face' have common codes 'fo', 'om', and 'sop', but the exact mapping is unclear.

Therefore, the information given in statement I alone is not sufficient to answer the question.

Considering the statement II alone.

II. In a certain code language,

'face of no light' is coded as 'om mot fo kiz'

And 'no one is smart' is coded as 'sop fo sip lik'.

Here, 'face' and 'no' have common codes 'om' and 'fo', and 'no' has common codes 'fo' and 'sop', but the exact mapping is unclear.

Therefore, the information given in statement II alone is also not sufficient to answer the question.

Now, by using both statements.

Comparing both statements, 'no' is common and has codes 'fo' and 'sop'. 'face' is common and has codes 'om' and 'fo'.

From statement I, 'no one' is 'fo sop' or 'om sop'. From statement II, 'no one' is 'sop fo'.

Therefore, 'no' is 'fo'.

Since 'no' is 'fo', then 'face' must be 'om'.

So, data in both statements I & II together are necessary to answer the question.

Hence, the correct answer is "Option 4".