Multiple choice

2 Men or 5 Women or 8 children completes a work in equal time. If one Man completes a work in 33 days. Then working together 1 man, 1 Woman and 1 Child will complete the whole work in how many days? 2 पुरूष या 5 महिलायें या 8 बच्चे किसी कार्य को समान समय में समाप्त करते है। यदि एक पुरूष पूरे कार्य को 33 दिनों में समाप्त करता है तो एकसाथ कार्य करते हुये 1 पुरूष, 1 महिला तथा 1 बच्चा पूरे कार्य को कितने दिनों में समाप्त करेंगे?

  1. 15 days 15 दिन

  2. 18 days 18 दिन

  3. 17.5 days 17.5 दिन

  4. 22.5 days 22.5 दिन

  5. None of these इनमे से कोई नहीं

Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

2 men = 5 women = 8 children in terms of work completion time. If 1 man completes work in 33 days, then 2 men complete it in 33/2 = 16.5 days. Work rate: 2 men do 1/16.5 work per day. So 5 women do 1/16.5 work per day, meaning 1 woman does 1/(16.5 × 5) = 1/82.5 work per day. Similarly, 8 children do 1/16.5 work per day, so 1 child does 1/(16.5 × 8) = 1/132 work per day. Combined rate of 1 man + 1 woman + 1 child = 1/33 + 1/82.5 + 1/132 = 0.0303 + 0.0121 + 0.0076 ≈ 0.05 work per day. Time = 1/0.05 = 20 days. Since 20 days is not among the options, the answer is 'None of these'.