IIMB 2002 (QA) PYQs

Naruto and Sasuke can finish a task in 16 days working together. After seven days, Naruto fell ill, reducing his efficiency by 30%. Consequently, they completed the task in 17 days instead of the expected 16 days. If Sasuke had worked alone after Naruto's illness, how many days would he have needed to complete the remaining work?

Aman, Baman and Chaman need a certain unique time to do a certain work. Chaman needs one hour less than Aman to complete the work. Working together, they require $60$ minutes to complete the job. The work also gets completed if Aman and Baman start working together and Aman leaves after one hour and Baman works for a further three hours. How much work does Charan do per hour?

It takes ten days for four men and three women working together to complete a work. Two men would do the same work twenty-five days sooner than three women. How many times does the output of a man exceed that of a woman?