संस्कृतेन अनुवादं कुरुत
हम गुरु को नमस्कार करेंगे ।

Question

Accepted Answer

Option 3, "वयं गुरुं नंस्यामः।", is the correct translation of "हम गुरु को नमस्कार करेंगे।" into Sanskrit. Let's break down why this option is correct and why the others are not:

1. **Explanation for Option 3:**
   - "वयं" means "we" in Sanskrit, which corresponds to "हम" in Hindi.
   - "गुरुं" is the accusative singular form of "गुरु", meaning "to the guru" or "the guru" as the object of the verb.
   - "नंस्यामः" is the future tense form of the verb "नमस्" (to salute or to bow), which means "we will salute" or "we will bow".
   - Therefore, "वयं गुरुं नंस्यामः।" accurately translates to "हम गुरु को नमस्कार करेंगे।", maintaining the correct subject, object, and future tense verb form.

2. **Why the other options are incorrect:**
   - **Option 1: "वयं गुरुं नंस्यन्ति।"**
     - "नंस्यन्ति" is the third person plural future tense form, meaning "they will salute". This does not match the subject "हम" (we) in the original sentence.
   
   - **Option 2: "वयं गुरुन् नंस्यन्ति।"**
     - Similar to Option 1, "नंस्यन्ति" is incorrect for the subject "हम" (we). Additionally, "गुरुन्" is not the correct accusative singular form of "गुरु".
   
   - **Option 4: "वयं गुरुवे नंस्यावः।"**
     - "नंस्यावः" is the dual form, meaning "we two will salute", which does not match the plural "हम" (we). Also, "गुरुवे" is the dative singular form, which is not appropriate here as the accusative case is needed.

In conclusion, Option 3 is the only choice that correctly translates the sentence into Sanskrit with the appropriate subject, object, and verb form.