There are twenty people working in an office. The first group of five works between 8.00am and 2.00 pm. The second group of ten works between 10.00 am and 4.00 pm. And the third group of five works between 12 noon and 6.00 pm. There are three computers in the office which all the employees frequently use. During which of the following hours the computers are likely to be used most ?
1) 10.00 am - 12 noon
2) 12 noon - 2.00 pm
3) 1.00 pm - 3.00 pm
4) 2.00 pm - 4.00 pm
5) None of these

Options

A. 10.00 a.m. -12 noon
B. 12 noon -2.00 p.m.
C. 1.00 p.m. -3.00 p.m.
D. 2.00p.m.-4.00 p.m

Answer

B

Explanation

Working hours of first group of 5
`implies` 8.00 am. -2.00 pm
i.e. 8.00 am to 9.00 am, 9.00 amto 10 am. 10 am
to 11 am 11 am to 120.00 noon, 12 noon to 1.00 pm,
1.00 pm 2.00 pm ……..i
Working hours of second group of 10
`implies `10.00 am-4.00 pm
i.e. 10.00 am to 11.00 am. 11.00 am to 12.00 noon,
12.00 noon to 1.00 pm 1.00 pm to 2.00 pm 2.00 pm
to 3.00 pm to 4.00 pm ..........ii
Working hours of third group of `5 to 12` noon -6.00 p.m.
12 noon to 1 pm , 1 pm to 2 pm 2 pm to 3 pm
3 pm to 4 pm , 4 pm to 5 pm , 5 pm to 6 pm ............iii
From i, ii and iii we get
Common period of working for all the three groups
`implies` 12 noon to 2 pm
Therefore the computers would be used most during the period 12 noon to 2 pm.