XAT Cryptography MCQs with Solutions: Practice XAT Previous Year Questions (PYQs)

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Shivam Yadav

Updated on - Nov 1, 2025

Cryptography is an important topic in the Quantitative Ability and Data Interpretation section in XAT exam. Practising this topic will increase your score overall and make your conceptual grip on XAT exam stronger.

This article gives you a full set of XAT Cryptography MCQs with explanations and XAT previous year questions (PYQs) for effective practice. Practice of Quantitative Ability and Data Interpretation MCQs including Cryptography questions regularly will improve accuracy, speed, and confidence in the XAT 2026 exam.

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XAT Cryptography MCQs with Solutions

  • 1.
    Given below is an equation where the letters represent digits: \[ (PQ)\,(RQ) = XXX \] Determine the sum of $P+Q+R+X$. % Statement I $X = 9$. % Statement II The digits are unique.

      • Statement I alone is sufficient to answer the question.
      • Statement II alone is sufficient to answer the question.
      • Statement I and Statement II together are sufficient, but neither alone is sufficient.
      • Either Statement I or Statement II alone is sufficient.
      • Neither Statement I nor Statement II is necessary to answer the question.

    • 2.
      An encryption system operates as follows:
      Step 1. Fix a number \(k(k \leq 26).\)
      Step 2. For each word, swap the first k letters from the front with the last k letters from the end in reverse order. If a word contains less than 2k letters, write the entire word in reverse order.
      Step 3. Replace each letter by a letter k spaces ahead in the alphabet. If you cross Z in the process to move k steps ahead, start again from A.
      Example: k = 2: zebra --> arbez --> ctdgb.
      If the word “flight” becomes “znmorl” after encryption, then the value of k:

        • 5
        • 4
        • 7
        • Cannot be determined uniquely from the given information
        • 6

      • 3.
        Given below is an equation where the letters represent digits: \[ (PQ)\,(RQ) = XXX \] Determine the sum of $P+Q+R+X$. % Statement I $X = 9$. % Statement II The digits are unique.

          • Statement I alone is sufficient to answer the question.
          • Statement II alone is sufficient to answer the question.
          • Statement I and Statement II together are sufficient, but neither alone is sufficient.
          • Either Statement I or Statement II alone is sufficient.
          • Neither Statement I nor Statement II is necessary to answer the question.

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