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Q.

The arithmetic mean of two observations is 127.5 and geometric mean is 60. 

Statement-1: The harmonic mean is approximately 28.

Statement-2:  A.M. × H.M. =( G.M. )2

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a

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

b

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for

STATEMENT-1

c

STATEMENT-1 is True, STATEMENT-2 is False

d

STATEMENT-1 is false, STATEMENT-2 is true.

answer is A.

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Detailed Solution

 A.M. =a+b2  H.M. =2aba+b

So AM×HM=ab=(GM)2

Thus           H.M=3600127.5=28.24.

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