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If 'I' stands for '+', 'J' stands for '├Ч', 'K' stands for '├╖' and 'L' stands for '-', what will come in place of the question mark '?' in the following equation? (35┬аL┬а19)┬аJ┬а4┬аI┬а26┬аL┬а(7┬аJ┬а3)┬аI┬а11=?
105
60
80
120
80
Substitute the letter codes with their corresponding mathematical operators first, then apply the BODMAS rule carefully inside and outside the parentheses.
Substitute the letter codes with their corresponding mathematical operators first, then apply the BODMAS rule carefully inside and outside the parentheses.
Step 1: Replace letters with arithmetic operators
Given rules: I stands for '+', J stands for 'x', K stands for '/', and L stands for '-'. Substituting these into the expression: (35 L 19) J 4 I 26 L (7 J 3) I 11 becomes (35 - 19) x 4 + 26 - (7 x 3) + 11.
Step 2: Solve the expressions inside the parentheses
First bracket: (35 - 19) = 16. Second bracket: (7 x 3) = 21. The equation now simplifies to: 16 x 4 + 26 - 21 + 11.
Step 3: Perform multiplication according to BODMAS
Multiply 16 by 4: 16 x 4 = 64. The expression becomes: 64 + 26 - 21 + 11.
Step 4: Perform addition and subtraction from left to right
64 + 26 = 90; 90 - 21 = 69; 69 + 11 = 80. Thus, the missing value is 80.
A: 105 is incorrect as it results from calculation errors during bracket or multiplication steps. B: 60 is incorrect because it misses the final addition or miscalculates intermediate subtraction. D: 120 is incorrect and vastly overestimates the final sum.
C is correct because substituting the operators according to the given code and applying BODMAS yields exactly 80.
Always evaluate brackets and multiplications first in coded mathematical expressions to avoid common sign and precedence errors.
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