In a certain coding system, 'write the number' is coded as '648', 'learn the write' is coded as '685' and 'learn the fact' is coded as '587'. How will 'the fact' is coded in this coding system?

Solution

I. 'write the number' is coded as '648' II. 'learn the write' is coded as '685' III. 'learn the fact' is coded as '587' After decoding the codes, we get, From Statement I and II, we get 'write' is coded as 6. From Statement I, II and III, we get 'the' is coded as 8. From Statement I alone, we get 'number' is coded as 4. From Statement II and III, we get 'learn' is coded as 5. From Statement III alone, we get 'fact' is coded as 7. Therefore, 'the fact' is coded as '87'.