CAT 2002QA Question 42

Man Days (single group of people)Easy
Passage / Data

Answer the following question based on the information given below.

There are 11 alphabets A, H, I, M, O, T, U, V, W, X, Y. They are called symmetrical alphabets. The remaining alphabets are known as asymmetrical alphabets.

It takes 6 technicians a total of 10 hours to build a new server from Direct Computer, with each working at the same rate. If six technicians start to build the server at 11 a.m. and one technician per hour is added beginning at 5 p.m., at what time will the server be complete?

Answer & solution

  • A

    6:40 p.m.

  • B

    7:00 p.m.

  • C

    7:20 p.m.

  • 8:00 p.m.

Solution

6 technicians → 10 hours to 1 job

∴ 1 technician → 60 hours to 1 job

∴ In 6 hrs (11 a.m. - 5 p.m.)6 technicians → 35th of the work.

In the hour after 5p.m.,

7 technicians → 760th of the job.

In the nect hour, 9 technicians will complete 960th of the job.

∴ In 3 hours after 5:00 p.m. → 2460=25th of the job is complete.

∴ At the end of 9th hour i.e. 8:00 p.m. the work is complete.

Hence, option (d).

CAT 2002 QA Q42: It takes 6 technicians a total of 10 hours to build a new server from Direct Computer, with each working at th — Solution | TheCATExam