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Let n in N ,n > 25. Let A ,G ,H deonote...

Let `n in N ,n > 25.` Let `A ,G ,H` deonote te arithmetic mean, geometric man, and harmonic mean of 25 and `ndot` The least value of `n` for which `A ,G ,H in {25 , 26 , n}` is a. 49 b. 81 c.169 d. 225

A

49

B

81

C

169

D

225

Text Solution

Verified by Experts

The correct Answer is:
D
`A=(25+n)/2,G=5sqrtn,H=(50n)/(25+n)`
As A,G,H are natural numbers, n must be odd perfect square.
Now, H will be a natural number, if we take n =225.
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