The correct option is D I, L, Tuesday
We have, seven officers L, M, N, P, Q, R and S. The officers work in three different shifts I, II and III.
Conditions:-
(i) At least two persons work in each shift.
(ii) Each officer has a different weekly off from Monday to Sunday.
According to the given information,
M works in second shift only with R .
It means that, M and R both works in the second shift. The word only says that there is no third person who works in the second shift. R's weekly off is on Friday.
Now, we are left with only shift I and III.
Q and L both work in different shifts.
P works in the third shift.
P's weekly off is on Saturday.
S works in first shift and his weekly off is on Monday.
L and P do not work in the same shift.
We know that P works in the third shift so automatically L works in the first shift and Q works in the third shift
L's weekly off is on Tuesday.
The one whose weekly off is on Sunday works in the first shift, and Q's weekly off is on the next day of L's weekly off. So. Q's weekly off is on Wednesday.
Now, we summarise the above information and organise them in tabular form as:-
OfficersShiftsWeekly offLITuesdayMII−N−−PIIISaturdayQIIIWednesdayRIIFridaySIMonday
From the above tabular form, we notice that we are not clear about the weekly off of M and N.
We know that the one who has a weekly off on Sunday works in the first shift and M works in the second shift, so it is clear that N works in the first shift and has a weekly off on Sunday.
There is only one day left, so M's weekly off is on Thursday.
Now, the tabular form becomes
OfficersShiftsWeekly offLITuesdayMIIThursdayNISundayPIIISaturdayQIIIWednesdayRIIFridaySIMonday
L works in shift I and has weekly off on Tuesday.