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If 'A' stands for 'div', 'B' stands for '├Ч', 'C' stands for '+', and 'D' stands for 'тИТ', then the resultant of which of the following would be 80?
18D5A42B6C17
18A5B42C6D17
18C5A42D6B17
18B5C42A6D17
18B5C42A6D17
Apply BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction) to the provided options. Focus on the division component (A) first to quickly filter options.
Apply BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction) to the provided options. Focus on the division component (A) first to quickly filter options.
Define the Operators
Given: A stands for /, B stands for , C stands for +, D stands for -. The mapping is: A=/, B=, C=+, D=-.
Evaluate Option D
Expression for D: 18 B 5 C 42 A 6 D 17. Substituting operators: 18 * 5 + 42 / 6 - 17. Applying BODMAS: First division (42 / 6 = 7), then multiplication (18 * 5 = 90), then addition/subtraction (90 + 7 - 17 = 97 - 17 = 80). The result is 80.
A: 18 - 5 / 42 * 6 + 17 does not equal 80 because 18 - 0.71 + 17 is approximately 34.29. B: 18 / 5 * 42 + 6 - 17 results in 151.2 + 6 - 17 = 140.2. C: 18 + 5 / 42 - 6 * 17 results in 18 + 0.119 - 102 = -83.88.
D is correct because substituting the given operators into the expression 18 B 5 C 42 A 6 D 17 yields (18 * 5) + (42 / 6) - 17 = 90 + 7 - 17 = 80.
When solving these, always evaluate the Division (A) first. If the number does not divide perfectly (e.g., 5/42 in option A), it is often an indicator that the expression will not result in an integer.
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