Given equation
18 × 12 - 51 ÷ 34 + 17 = 185
BODMAS rule:-
1) 17 and 51, × and -
18 × 12 - 51 ÷ 34 + 17 = 185
Interchanging the signs and numbers and using BODMAS rule:-
18 - 12 × 17 ÷ 34 + 51
= 18 - 12 × 0.5 + 51
= 18 - 6 + 51
= 69 - 6
= 63 ≠ 185
2) 51 and 17, × and ÷
18 × 12 - 51 ÷ 34 + 17 = 185
Interchanging the signs and numbers and using BODMAS rule:-
18 ÷ 12 - 17 × 34 + 51
= 1.5 - 17 × 34 + 51
= 1.5 - 578 + 51
= 52.5 - 578
= - 525.5 ≠ 185
3) 34 and 51, × and +
18 × 12 - 51 ÷ 34 + 17 = 185
Interchanging the signs and numbers and using BODMAS rule:-
18 + 12 - 34 ÷ 51 × 17
= 18 + 12 - 0.67 × 17
= 18 + 12 - 11.33
= 30 - 11.33
= 18.67 ≠ 185
4) 34 and 51, + and ÷
18 × 12 - 51 ÷ 34 + 17 = 185
Interchanging the signs and numbers and using BODMAS rule:-
18 × 12 - 34 + 51 ÷ 17
= 18 × 12 - 34 + 3
= 216 - 34 + 3
= 219 - 34
= 185 = 185
Hence, the correct answer is **"**34 and 51, + and ÷".