In a certain code : (a) '3245' means 'you must study hard' (b) '567' means…

To solve this code language problem, we compare the given statements to find common words and their corresponding digits. First, comparing statement (a) '3245' with statement (b) '567', the only common word is 'hard' and the common digit is 5. Therefore, 5 represents 'hard'. Next, comparing statement (b) '567' with statement (c) '614', the common word is 'work' and the common digit is 6. Thus, 6 represents 'work'. Now looking at statement (b) again, which is '567' meaning 'hard work pays', we have already identified 5 as 'hard' and 6 as 'work'. This leaves the remaining digit, 7, to represent the remaining word, 'pays'. Consequently, the code for 'pays' is 7 and the code for 'work' is 6. Option A (1 & 5) is incorrect because 1 is not linked to pays and 5 is hard. Option B (5 & 6) is incorrect because 5 stands for hard, not pays. The correct pair is 7 & 6, which corresponds to Option C.