Explanation:

This question asks us to identify the grammatically correct sentence among the given options. In Hindi, correctness hinges on proper word choice, case markers, verb agreement, and idiomatic usage. Let's meticulously evaluate each sentence. **Option (A): 'सब से नमस्ते। (Namaste to everyone.)'** This sentence is grammatically incorrect. The postposition 'से' (se) generally means 'from', 'by', or 'with'. When conveying greetings 'to' someone, the dative case marker 'को' (ko) is used. Therefore, the correct phrasing should be 'सबको नमस्ते।' (Namaste to everyone). 'सब से नमस्ते' implies 'Namaste *from* everyone' or 'Namaste *by* everyone', which is not the intended meaning of greeting everyone. Hence, this option is incorrect. **Option (B): 'आठ बजने को दस मिनट है। (It's ten minutes to eight.)'** This sentence is grammatically correct and a widely accepted way to express time in Hindi. The construction 'बजने को' (bajne ko) meaning 'to strike' or 'to be' is perfectly valid when indicating time remaining until a specific hour. For instance, 'आठ बजने को दस मिनट है' means 'ten minutes are remaining for eight to strike'. An alternative correct phrasing could be 'आठ बजने में दस मिनट हैं', but 'बजने को' is equally correct and common. Thus, this sentence is grammatically sound. **Option (C): 'नानक ने अपना सारा धन साधुओं को बाँट दिया। (Nanak distributed all his wealth to the saints.)'** This sentence is grammatically impeccable. 'नानक' (Nanak) is the subject, 'ने' is the agentive postposition indicating the subject of a transitive verb in the past tense. 'अपना सारा धन' (all his wealth) is the direct object. 'साधुओं को' (to the saints) correctly uses the dative case marker 'को' to indicate the recipient of the action. 'बाँट दिया' (distributed) is the compound verb in the past tense, correctly agreeing with the action. The sentence is clear, unambiguous, and follows all grammatical rules. This is a perfectly correct sentence. **Option (D): 'यह काम करने को जी चाहता है। (My heart desires to do this work.)'** This sentence is also grammatically correct and uses a common Hindi idiom. 'यह काम करने को' (to do this work) uses 'को' correctly to indicate the purpose or object of desire. 'जी चाहता है' (ji chāhtā hai) is an idiomatic expression meaning 'one's heart desires' or 'one feels like'. This construction is standard and widely used in spoken and written Hindi. Therefore, this sentence is grammatically sound. **Re-evaluation and Conclusion:** We have identified that options (B), (C), and (D) all appear to be grammatically correct. In a multiple-choice question asking for *the* correct sentence, if multiple options seem correct, there might be a subtle nuance or a preferred usage being tested, or the question itself might be flawed. However, if forced to choose the *most* unequivocally correct and universally accepted sentence without any potential for alternative interpretations or less common usage, option (C) stands out. It is a straightforward declarative sentence with clear subject-verb-object agreement and correct case markers, representing a fundamental and unambiguous grammatical structure. While (B) and (D) are also correct, (C) is perhaps the most 'pristine' in its construction. Given the possibility of subtle distinctions in such questions, (C) is the strongest candidate for 'the' correct sentence. If the question implies only one correct answer, (A) is definitively incorrect, leaving (B), (C), and (D) as correct. In such cases, the question itself might be ambiguous, but if a single best answer is sought, (C) is a very robust choice.