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    Reading Comprehension Notes for GATE DA

    GATE DA Reading Comprehension: 1 chapters, 2 previous year questions (25% of Verbal Aptitude), 103 practice questions and one solved question from each chapte

    A question from this chapter

    Question 1
    Level 3: Exam Standard

    The new encryption protocol guarantees data security under specific conditions. If the protocol is implemented correctly and the encryption key is not compromised, unauthorized access is impossible. Furthermore, if unauthorized access occurs, it implies that the protocol was not implemented correctly or the encryption key was compromised.

    Based on the statements above, which one of the following scenarios is logically impossible?

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    Reading Comprehension Notes for GATE DA

    GATE DA Reading Comprehension: 1 chapters, 2 previous year questions (25% of Verbal Aptitude), 103 practice questions and one solved question from each chapter.

    About Reading Comprehension Notes

    Full study notes for Reading Comprehension in GATE DA, organised across 1 chapters. Each chapter page explains concepts from the basics with worked examples and the formulas you need.

    Reading Comprehension Weightage in GATE DA

    Reading Comprehension accounts for 2 of 8 Verbal Aptitude previous year questions in our bank (25%), about 1 per paper across 2 papers.

    Reading Comprehension Chapter Matrix

    ChapterTopicsPYQsShare of unit PYQsPractice questions
    Reading Comprehension and InferenceSentence and Passage-Based Inference2100%103

    More from Verbal Aptitude

    One Solved Question from Each Reading Comprehension Chapter

    Question 1 · Reading Comprehension and Inference MCQ

    The new encryption protocol guarantees data security under specific conditions. If the protocol is implemented correctly and the encryption key is not compromised, unauthorized access is impossible. Furthermore, if unauthorized access occurs, it implies that the protocol was not implemented correctly or the encryption key was compromised.

    Based on the statements above, which one of the following scenarios is logically impossible?

    1. A.

      The protocol was implemented correctly, the encryption key was not compromised, and unauthorized access occurred.

    2. B.

      The protocol was not implemented correctly, the encryption key was not compromised, and unauthorized access occurred.

    3. C.

      The protocol was implemented correctly, the encryption key was compromised, and unauthorized access occurred.

    4. D.

      The protocol was not implemented correctly, the encryption key was compromised, and unauthorized access did not occur.

    Correct Answer:

    A

    Step-by-Step Solution

    Key idea: This is a conditional logic question. We need to translate the passage into logical formulas and find the scenario that violates the core guarantee.

    Step 1: Translate the first sentence into logic.

    Let = implemented correctly.

    Let = key not compromised.

    Let = unauthorized access occurs.

    The statement is: .

    Step 2: Find the contrapositive.

    The contrapositive of is .

    By De Morgan's laws, this is .

    This perfectly matches the second sentence in the passage: "if unauthorized access occurs, it implies that the protocol was not implemented correctly or the encryption key was compromised."

    Step 3: Identify the impossible scenario.

    A scenario is impossible if it asserts the condition but denies the result .

    In plain English: If the protocol is implemented correctly AND the key is not compromised, unauthorized access CANNOT occur.

    Step 4: Evaluate the options.

    Option A states: is true, is true, and is true. This directly violates . Therefore, it is logically impossible.

    Options B and C state is true, but at least one of or is false. This fits the contrapositive .

    Option D states is false. The original rule only guarantees when is true; it doesn't restrict what happens when is false. So being false is entirely possible.

    Answer: A