If '+' stands for 'multiplication', '<' stands for 'division', '-' stands for 'addition', '`-:`' stands for 'subtraction' and `'xx'` stands for 'greater than', identify which expression is correct.

Options

A. `20-4 -: 4 + 8 lt2 xx 26`
B. `20 xx 8 + 15 lt 5 -: 9 - 8`
C. `20 lt 2 + 10 -: 4 - 6 xx 100`
D. `20 lt 5 + 25 -: 10 - 2 xx 96`

Answer

C

Explanation

Option (1)
`20 - 4 -: 4 + 8 lt 2 xx 26`
`rArr 20 + 4 - 4 xx 8 -: 2 gt 26`
`rArr 20 + 4 - 4xx4 gt 26`
`rArr 24 - 16 gt 26`
Option (2)
`20 xx 8 + 15 lt 5 -: 9-8`
`rArr 20 gt 8 xx 15 -: 5- 9 + 8`
`rArr 20 gt 8 xx3 -9 + 8`
`rArr 20 gt 24 - 9 + 8`
`rArr 20 cancelgt 23`
Option (3)
`20 lt 2 10 -: 4 - 6 xx 100`
`rArr 20 -: 2 xx 10-4 + 6gt 100`
`rArr 10 xx 10-4 + 6 gt 100`
`rArr 100 -4 + 6 gt 100`
`rArr 106 - 4 gt 100`
Option (4)
`20 lt 5 + 25 -: 10 -2 xx96`
`rArr 20-: 5 xx 25 - 10 + 2 gt 96`
`rArr 4 xx 25 - 10 + 2 gt 96`
`rArr 100 - 10 + 2 gt 96`
`rArr 102 - 10 cancelgt 96`