Question

Six files are labelled P, Q, R, S, T, and U.
(i) P, Q, R are .docs, S, T, U are .xlsx
(ii) Q, R, T, U are Read-only
(iii) P, Q, S are cloud, R, T, U are local
Which two files are Read-only, Excel Spreadsheets stored only on the Local Disk?

• A. R and T
• B. S and U
• C. Q and R
• D. T and U

Hint:

List the sets for each constraint clearly and identify the intersection.

Answer 1

The Correct Option is D

Step 1: List the three property sets.
Excel (.xlsx): S, T, U. Read-only: Q, R, T, U. Local: R, T, U.
Step 2: Understand the requirement.
We need files that are simultaneously Excel, Read-only, and Local, so we must intersect all three sets.
Step 3: Intersect Excel with Read-only.
Excel is {S, T, U} and Read-only is {Q, R, T, U}; their common members are T and U.
Step 4: Bring in the Local set.
Now intersect {T, U} with Local {R, T, U}; both T and U appear, so they survive.
Step 5: Check the eliminated files.
S is Excel but not Read-only, so it drops out; R is Read-only and Local but not Excel, so it drops out; Q fails Excel and Local.
Step 6: Conclude.
The two files meeting all three conditions are T and U.
\[ \boxed{\text{T and U}} \]