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  9. Q190

NABARD Grade A (Assistant Manager) 2023 · Question 190 of 196

'Preeti' can complete a piece of work in 70 days, while 'Bhanumati' can complete it in 90 days. They both started the work together, but 'Preeti' left after 23 days. 'Bhanumati,' with the assistance of 'Chirag,' completed the remaining work in 21(5/6) days. Calculate the time required for 'Chirag' to complete the entire work on his own.

Time and work

  1. A126 daysCorrect
  2. B130 days
  3. C145 days
  4. D155 days
  5. Enone of these

Answer: A. 126 days

Explanation

Total work = 630 units (LCM of 90 and 70). Preeti = 9/day, Bhanumati = 7/day. Work in 23 days = 16x23 = 368 units. Remaining = 262. Bhanumati+Chirag efficiency = 262/(131/6) = 12/day. Chirag = 5/day. Time = 630/5 = 126 days.

Source: Memory Based Paper NABARD Grade A 2023 - Phase I Shift II (ixamBee) · memory-based

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