Stacks and Queues

1. What will be the front and rear of an initially empty queue after the following operations: enqueue(2), enqueue(11), enqueue(3), dequeue(), enqueue(8), dequeue(), enqueue(5), dequeue()?
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2. You are given a simple queue with elements 2, 3, 8, 1, 9, 7, where 2 is the front of the queue. The elements are dequeued one-by-one and pushed into a stack until the queue becomes empty. The elements are then popped from the stack one-by-one and enqueued into the original queue. What is the final arrangement of elements in the queue?
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3. What is the minimum number of stacks needed to implement a queue?

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4. Which principle does a standard queue follow?
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5. Which operation inserts an element into a queue?
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6. Which operation removes an element from the front of a queue?
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7. In an array-based queue, why is a circular queue useful?
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8. Suppose a queue contains 10, 20, and 30 from front to rear. If dequeue() is performed once and then enqueue(40) is performed, what is the resulting order from front to rear?
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9. In a queue implemented using two stacks, what is the main purpose of transferring elements from the input stack to the output stack?
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