p, q, r and s are in AP such that p+s=8 and qr=15. What is the difference between largest and smallest numbers?

NDA 2023 Mathematics question

, , and are in AP such that and . What is the difference between largest and smallest numbers?

Answer: (A)

In an AP of four terms, . With , and are the roots of , i.e.

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Question ID VK-029557