If ‘ + ’ means ‘x’, ‘x’ means ‘+’, ‘-’ means ‘÷’ and ‘÷’ means ‘-’, then what is the value of 40 x 12 + 3 – 60 / 60 ?
Answers
Given: + = ×, × = +, - = ÷ and ÷ = -
Also given that, 40 × 12 + 3 - 60 ÷ 60
Now, change signs according to given data.
If we change signs according to given data, then we get
40 + 12 × 3 ÷ 60 - 60
Now, apply the BODMAS Rule on it.
B = Brackets, O = Of, D = Division, M = Multiplication, A = Addition and S = Subtraction
Means, first we have to solve brackets, then division, multiplication, addition and in last subtraction.
First: Division
→ 40 + 12 × 3 ÷ 60 - 60
→ 40 + 12 × 3/60 - 60
→ 40 + 12 × 1/20 - 60
→ 40 + 12 × 0.05 - 60
Second: Multiplication
→ 40 + 0.6 - 60
Third: Addition
→ 40.6 - 60
Fourth: Subtraction
→ - 19.4
Given :-
→ ‘ + ’ means ‘x’,
→ ‘x’ means ‘+’,
→ ‘-’ means ‘÷’
→ ‘÷’ means ‘-’,
To Find :-
- 40 × 12 + 3 - 60 ÷ 60 ?
Solution :-
Changing All Signs in Question According to Given :-
→ 40 × 12 + 3 - 60 ÷ 60 becomes :-
→ 40 + 12 × 3 ÷ 60 - 60
Now ,
→ According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right.
So,
→ 40 + 12 × 3 ÷ 60 - 60
→ 40 + 12 × (3/60) - 60
→ 40 + (3/5) - 60
→ 3/5 + 40 - 60
→ 3/5 - 20
→ 0.6 - 20