Multiple choice

33 men can complete a work in 30 days if 44 men started the same work together and after every day of the work, one person leaves then in how many days work will finish? 33 व्यक्ति किसी काम को 30 दिनों में पूरा करते हैं यदि 44 व्यक्ति इसी काम की शुरूआत करें और प्रत्येक दिन के बाद 1 आदमी काम छोड़ दे तो कार्य कितने दिनों मे पूरा होगा?

  1. 21

  2. 42

  3. 45

  4. 44
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total work = 33 × 30 = 990 man-days. With 44 men starting and one leaving each day, on day n the work done equals n men. We need the smallest n such that 44 + 43 + 42 + ... + (44-n+1) ≥ 990. This sum of n terms = n(44 + (44-n+1))/2 = n(89-n)/2. Solving n(89-n)/2 = 990 gives n ≈ 30, but checking: sum of 44 terms = 44×45/2 = 990 exactly.

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