6 women and 6 men can complete a work in 6 days. If 9 women can complete the same work in 10 days in how many days will 15 men complete the same work? 6 महिलायें और 6 पुरूष एक कार्य 6 दिन में पूरा कर सकते हैं। यदि 9 महिलायें इस कार्य को 10 दिन में पूरा कर सकती हैं तो 15 पुरूष इस कार्य को कितने दिनों में पूरा करेंगे?

Let 1 woman's work = w, 1 man's work = m per day. 6w + 6m = 1/6 (total work per day). 9w = 1/10, so w = 1/90. Substituting: 6(1/90) + 6m = 1/6, so 1/15 + 6m = 1/6. Thus 6m = 1/6 - 1/15 = 5/30 - 2/30 = 3/30 = 1/10, so m = 1/60. 15 men: 15m = 15/60 = 1/4 per day, so 4 days needed. Options A (6), B (5), C (7.2) are all wrong. 4 days is not listed, so E (None of these) is correct. D is incorrect because we CAN determine it.