Sun	Mon	Tue	Wed	Thu	Fri	Sat
26	27	28	29	30	31	1
2	3	4	5	6	7	8
9	10	11	12	13	14	15
16	17	18	19	20	21	22
23	24	25	26	27	28	29
30	1	2	3	4	5	6

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Multiple Choice Questions

A and B started working on Project 1 They completed 1 3rd of work after which they left and C joined...........

Quantitative Aptitude ( Phase -I) Data Table

Directions : The following table shows the number of days for which 4 individuals A, B, C and D worked on 5 different projects numbered 1 to 5. It also shows the part of respective project that could not be completed by individuals in time. Some values are missing which are denoted by symbol (-). With the help of information in questions and table below answer the questions that follow.

Project No.	No. Of days for which individuals worked on different projects				Part of project uncompleted after all worked
Project No.	A	B	C	D	Part of project uncompleted after all worked
1	6	6	2	3	1/3
2		3	4
3
4	5	3	2		1/6
5	2	2	3	5	1/12

A and B started working on Project 1. They completed 1/3^rd of work after which they left and C joined the project. C can complete the whole project in 12 days. After C worked for his assigned number of days, D joined the project and worked for his assigned number of days. Find the number of days in which D can complete the whole Project 1?

15 days

20 days

18 days

25 days

12 days

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Explanation:

A and B complete 1/3^rd, C completed 1/12 * 2 = 1/6
Completed work before D joined is 1/3 + 1/6 = 1/2,

so to be completed by D = 1 – 1/2 = 1/2 of work
Now project uncompleted after D left = 1/3
So D did = 1/2 – 1/3 = 1/6 of work
He worked for 3 days, means he complete 1/6^th of work in 3 days.

so he can do complete project 1 in 6/1 * 3 = 18 days

Hence, option 3 is the correct answer.