Suppose four distinct positive numbers $a_1, a_2, a_3, a_4$ are in $G.P.$ Let $b_1=a_1, b_2=b_1+a_2, b_3=b_2+a_3$ and $b_4=b_3+a_4$.

$STATEMENT-1$ : The numbers $\mathrm{b}_1, \mathrm{~b}_2, \mathrm{~b}_3, \mathrm{~b}_4$ are neither in $A.P$. nor in $G.P.$ and 

$STATEMENT-2$ : The numbers $\mathrm{b}_1, \mathrm{~b}_2, \mathrm{~b}_3, \mathrm{~b}_4$ are in $H.P.$

  • [IIT 2008]
  • 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

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