State whether the following statements are true or false. Statements: (i) A…

2018

State whether the following statements are true or false.

Statements:
(i) A queue can be implemented using two stacks.
(ii) A stack can be implemented using two queues.

  1. A.

    (i) True, (ii) True

  2. B.

    (i) True, (ii) False

  3. C.

    (i) False, (ii) True

  4. D.

    (i) False, (ii) False

Attempted by 370 students.

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Correct answer: A

Both statements are true based on fundamental data structure theory. For statement (i), a queue's First-In-First-Out behavior can be implemented using two stacks. By pushing elements onto the first stack and popping them to transfer to the second stack, we reverse the order, allowing FIFO access. For statement (ii), a stack's Last-In-First-Out behavior is achievable using two queues. During push operations, we enqueue elements to the first queue, and during pop operations, we transfer all but one element from the first queue to the second, leaving only the most recent element for removal. Since both implementations are standard algorithmic techniques taught in computer science, Option A is correct. Options B and C incorrectly suggest one implementation is impossible, while D falsely claims both are invalid.

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