XAT · Quantitative Ability and Data Interpretation
Number system
Divisibility, remainders, factors, HCF / LCM, digits.
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- In the exam pattern: Part 1 (Verbal Ability and Logical Reasoning, Decision Making, Quantitative Ability and Data Interpretation), Quantitative Ability and Data Interpretation: 28 questions, 28 marks (XLRI notice, read 26 Oct 2026).
- Next exam day: XAT 2027 exam: 3 Jan 2027 (Reported, xatonline.in).
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Take a full mock →Q1 · Number system · MEDIUM
N is the smallest three-digit number whose digits add up to 11. A four-digit number M is formed by writing the digit 7 to the right of N. What is the remainder when M is divided by 7?
Q2 · Number system · HARD
Let N be an integer such that the remainder when N is divided by 5 is 3, the remainder when N is divided by 7 is 2, and the remainder when N is divided by 11 is 4. What is the smallest positive value of N?