Arithmetic comprises of around 50 percent of the total questions in the Quantitative Ability section of the CAT exam and hence, needs rigour and attention in its preparation. To understand the level, kind and the difficulty levels of the questions asked in the exam, it is important to go through CAT previous year paper. It'll help you gauge what to expect in the CAT Question Paper and will help you ace your CAT preparation online. Start with this Time and Work question from CAT 2019 Question Paper without further ado!
Question 15 : Anil alone can do a job in 20 days while Sunil alone can do it in 40 days. Anil starts the job, and after 3 days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done 10% of the job, then in how many days was the job done?
Anil in one day can do th of the work
Sunil in one day can do th of the work
Anil starts the job and Sunil joins him after three days.
So, Anil would have done th of the work by the time Sunil joins
After Sunil joins, they both would be doing th of work everyday
Now, it is known that Bimal joins them after some days and finishes 10 % of the work.
Now, Anil alone had done th of the work and Bimal completes th of the work
So, in total they would have done = th of the work (is the work done by Bimal)
Remaining work = , which would be done by Anil and Sunil in 10 days.
Total number of days = 3 + 10 = 13 days
The question is "Anil alone can do a job in 20 days while Sunil alone can do it in 40 days. Anil starts the job, and after 3 days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done 10% of the job, then in how many days was the job done? "
Choice A is the correct answer.
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