NIMCET 2026 — Reasoning PYQ

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Question

NIMCET 2026 — Reasoning PYQ

NIMCET | Reasoning | 2026

Six files in a directory are labelled P, Q, R, S, T, and U. You are tasked with identifying specific files based on their system attributes:

(i) Files P, Q, and R are Word Documents (.docx), while S, T, and U are Excel Spreadsheets (.xlsx).

(ii) Files Q, R, T, and U are marked as Read-only, while the others are Editable.

(iii) Files P, Q, and S are backed up to the Cloud, while the others are stored only on the Local Disk.

Which two files are Read-only, Excel Spreadsheets stored only on the Local Disk?

Choose the correct answer:

Explanation

To identify the correct files, we define the sets based on the attributes provided in image_817bc6.png. Let the set of all files be $F = {P, Q, R, S, T, U}$ .

Step 1: Define Sets based on Conditions

Set $E$ (Excel Spreadsheets): Based on attribute (i), $E = {S, T, U}$ .
Set $R_{o}$ (Read-only files): Based on attribute (ii), $R_{o} = {Q, R, T, U}$ .
Set $L$ (Stored on Local Disk): Based on attribute (iii), the files not backed up to the Cloud are ${R, T, U}$ . Thus, $L = {R, T, U}$ .

Step 2: Find the Intersection

We need to find the files that satisfy all three conditions, which is represented by the intersection of the sets: $S_{r es u l t} = E \cap R_{o} \cap L$ .

$S_{r es u l t} = {S, T, U} \cap {Q, R, T, U} \cap {R, T, U}$

First, calculate $E \cap R_{o}$ :
${S, T, U} \cap {Q, R, T, U} = {T, U}$
Next, calculate the intersection with $L$ :
${T, U} \cap {R, T, U} = {T, U}$

Conclusion:

Files T and U meet all three criteria.

Correct Answer: Option 4.