If x,y,z be three positive prime numbers. The progression in which x, y, z can be three terms (not necessarily consecutive) is

JEE Main Mathematics question

If be three positive prime numbers. The progression in which can be three terms (not necessarily consecutive) is

(A)A.P.
(B)G.P.
(C)H.P.
(D)None of theseCorrect

Answer: (D)

Solution

Take distinct primes. In an AP, would be rational, which is impossible for square roots of distinct primes (for example squared would put an irrational -type

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Question ID VK-021859