Which of the following statements is always true? (A)(x-y)/2 is a rational number between x and y. (B)(x+y)/2 is a rational number between x and y. (C)(x*y)/2 is a rational number between x and y. (D)(x/y/2) is a rational number between x and y.

Answers (1)

To solve this question assume any 2 rational numbers then go by option

Let rational numbers are x=frac37; y=frac107

Option A); fracx-y2=frac3-102	imes7=frac-12 ;is; not ;;lies;;in ;; between ;;x;;and;;y ;

Option B) ;fracx+y2=frac3+102	imes7=frac1314 ;is; ;;lies;; in ;;between ;;x;;and;;y ; 

Option C); fracx 	imes y2=frac3	imes107	imes7	imes2=frac1549 ;is; not ;;lies;;in ;; between ;;x;;and;;y ;

So, option (B) is true

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