CAT 1997QA Question 38

Working in ShiftsEasy
Passage / Data

Answer the next 2 questions based on the following information.

The Weirdo Holiday Resort follows a particular system of holidays for its employees. People are given holidays on the days where the first letter of the day of the week is the same as the first letter of their names. All employees work at the same rate.

Starting on February 25, 1996, if Raja had finished his job on April 2, 1996, when would T and S together likely to have completed the job, had they started on the same day as Raja?

Answer & solution

  • A

    March 15, 1996

  • B

    March 14, 1996

  • March 22, 1996

  • D

    Data insufficient

Solution

Now Raja has worked for (5 days in February + 31 days in March + 2 days in April) = 38 days. Let us assume his rate to be the same as in the previous question, viz. one unit a day. Hence, he completes 38 units totally. In a week, T takes holiday on Tuesday and Thursday, while S takes holiday on Saturday and Sunday. We can see that their working pattern would be as follows.

​​​​​​​

So in a week they work together 10 units work. Thus, in three weeks, they would complete 30 units work. It

can be found out that February 25 is Sunday. So the remaining 8 units of work can be completed only on Friday, i.e. March 22.

CAT 1997 QA Q38: Starting on February 25, 1996, if Raja had finished his job on April 2, 1996, when would T and S together like — Solution | TheCATExam