XAT 2026 QA DI Question 18 | 5-Digit Key Lock Problem Question | XAT Preparation

Welcome to our XAT 2026 Preparation Series! 🚀

In this video, we cover XAT 2026 Quantitative Ability & Data Interpretation (QA DI) – Question 18 (Number Logic + Divisibility Constraints).

This is a smart logical elimination question involving permutations, divisibility rules, positional constraints, and “definitely false” reasoning — a very important and high-accuracy area for XAT QA.

XAT 2026 – QA/DI Section – Question 18 (5-Digit Key Lock Problem)

Ronny uses a 5-digit key for a combination lock, where 5 digits need to be entered in a fixed sequence. While he remembers that the 5 digits are 9, 8, 7, 5, and 4, he has forgotten the sequence he uses.

He also remembers that:
• The sum of the first three digits is a multiple of 3.
• The sum of the last three digits is a multiple of 3.
• The sum of the last four digits is a multiple of 4.

Which of the following is DEFINITELY FALSE?

A. 8 is the fourth digit of the key
B. 4 is the fourth digit of the key
C. 9 is the third digit of the key
D. 4 is the second digit of the key
E. 8 is the second digit of the key

Learn the complete step-by-step explanation and the smartest way to approach logical elimination and divisibility-based sequence questions under exam pressure.

This QA question will help you understand:
✔️ Applying divisibility rules for 3 and 4
✔️ Using positional constraints logically
✔️ Handling permutation-based reasoning
✔️ Eliminating impossible cases efficiently
✔️ Solving “definitely true/false” questions smartly

This question is highly relevant for students preparing for:
✅ XAT 2026
✅ XLRI Entrance Exam
✅ CAT, IIFT, SNAP, NMAT, CMAT, MAT
✅ Other MBA Entrance Exams

👉 Watch till the end to master Logical Number System concepts and strengthen your QA fundamentals for XAT 2026.

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