If 'P' means '+', 'Q' means -, 'R' means `'-:'` and 'S' means `'xx'` then which of the following equation is correct?

Options

A. `14 R 7 S 6 P 4 Q 3 = 11`
B. `9 S 8 P 6 R 4 S 8 = 80`
C. `3 S 6 P 2 Q 3 R 6=(35)/(2)`
D. `11 R 12 S 48 P 10 Q 6 = 48`

Answer

D

Explanation

Option (1)
`14 R 7 S 6 P 4 Q 3=11`
`implies14-:7xx6+4-3=11`
`implies2xx6+4-3=11`
`implies12+4-3=11`
`implies16-3=11`
`implies13cancel=11`
Option (2)
`9 S 8 P 6 R 4 S 8=80`
`implies9xx8+6-:4xx8=80`
`implies9xx8+(6)/(4)xx8=80`
`implies72+12=80`
`implies84cancel=80`
Option (3)
`3 S 6 P 2 Q 3 R 6=(35)/(2)`
`implies3xx6+2-3-:6=(35)/(2)`
`implies18+2-(3)/(6)=(35)/(2)`
`implies18+2-(1)/(2)=(35)/(2)`
`implies20-(1)/(2)=(35)/(2)`
`=(40-1)/(2)cancel=(35)/(2)`
Option (4)
`11 R 12 S 48 P 10 Q 6=48`
`implies11-:12xx48+10-6=48`
`(11)/(12)xx48+10-6=48`
`implies44+10-6=48`
`implies54-6=48`