A man , a women and a boy can do a work in 40days, 60 days and 120 days respectively. Find how many boys should work along with 2 men and 8 women to complete the whole work in 2 days? एक पुरुष, एक महिला तथा एक लड़का किसी कार्य को क्रमशः 40 दिन, 60 दिन और 120 दिन में कर सकते हैं तो 2 पुरुष और 8 महिलाओं की सहायता क लिए कितने लड़कों से कार्य करवाया जाये की कार्य 2 दिन में समाप्त हो जाये?

Work rates: Man = 1/40 per day, Woman = 1/60 per day, Boy = 1/120 per day. In 2 days: 2 men complete 2×(2/40) = 1/10, 8 women complete 2×(8/60) = 8/15. Total from men and women = 1/10 + 8/15 = 35/150. Remaining work = 1 - 35/150 = 115/150. Each boy does 2/120 = 1/60 in 2 days. Boys needed = (115/150) / (1/60) = 46. So we need 46 boys. Wait, let me verify: 46/60 = 23/30 = 115/150. Yes, 46 boys. But 46 isn't an option. Let me reconsider: 2 men in 2 days = 4/40 = 1/10 = 15/150. 8 women in 2 days = 16/60 = 4/15 = 40/150. Total = 55/150 done. Remaining = 95/150 = 19/30. Each boy in 2 days = 2/120 = 1/60. Boys needed = (19/30)/(1/60) = 38. Option D is correct.