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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? 38┬аI┬а(3┬аJ┬а4)┬аL┬а(16┬аK┬а2)┬аI┬а11=?
34
47
61
53
53
Substitute letters with their corresponding arithmetic operators first, then simplify brackets following the BODMAS rule.
Substitute letters with their corresponding arithmetic operators first, then simplify brackets following the BODMAS rule.
Step 1: Translate the letters into mathematical operators
Given substitutions are: 'I' = '+', 'J' = 'x', 'K' = '/', 'L' = '-'. Substituting these into the expression: 38 I (3 J 4) L (16 K 2) I 11 becomes 38 + (3 x 4) - (16 / 2) + 11.
Step 2: Solve the brackets using BODMAS rule
Evaluate inside the parentheses first: (3 x 4) = 12 and (16 / 2) = 8. The expression simplifies to: 38 + 12 - 8 + 11.
Step 3: Perform addition and subtraction from left to right
Add 38 and 12 to get 50. Then subtract 8 to get 42. Finally, add 11 to get 53.
A: 34 is incorrect as it results from calculation errors. B: 47 is incorrect and does not match the arithmetic flow. C: 61 is incorrect due to wrong operator precedence or sign errors. D: 53 is the correct evaluated value.
D is correct because substituting the given operators and evaluating the expression according to BODMAS yields 53.
Always evaluate bracketed sub-expressions first before applying left-to-right operations for addition and subtraction.
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