In a certain coding system, ‘Watches are beautiful’ is coded as ‘856’, ‘Beautiful things are expensive’ is coded as '3845', and ‘Expensive things are preferred’ is coded as ‘3874’. How will ‘Watches are preferred’ be coded in this coding system?

876

Given; In a certain coding system, ‘Watches are beautiful’ is coded as ‘856’, ‘Beautiful things are expensive’ is coded as '3845', and ‘Expensive things are preferred’ is coded as ‘3874’.

So,

 WATCHES ARE BEAUTIFUL  =  856

 BEAUTIFUL THINGS ARE EXENSIVE  =  3845

 EXPENSIVE THINGS ARE PREFERRED  = 3874

As per the observation, the code for the first word is shifted to last and the remaining are as per order.

--> Code for WATCHES = 6

--> Code for ARE = 8

--> Code for BEAUTIFUL = 5

--> Code for THINGS IS EITHER = 3 or 5

--> Code for EXPENNSIVE EITHER = 3 or 5

--> Code for PREFERRED = 7

Thus, Code for WATCHES ARE PREFERRED = 876