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If A means +, B means тИТ, C means ├Ч, D means ├╖, then what will come in place of the question mark (?) in the following equation? 14┬аB┬а5┬аC┬а5┬аA┬а30┬аD┬а2=?
2
4
1
3
4
Substitute the symbols directly according to the given rules first, then apply standard BODMAS / PEMDAS rule strictly from left to right for multiplication and division.
Substitute the symbols directly according to the given rules first, then apply standard BODMAS / PEMDAS rule strictly from left to right for multiplication and division.
Step 1: Understand the Symbol Meanings
According to the question, the letter substitutions are: A means +, B means -, C means x, and D means /.
Step 2: Substitute Letters with Symbols
Substitute the symbols into the given expression 14 B 5 C 5 A 30 D 2: it becomes 14 - 5 x 5 + 30 / 2.
Step 3: Apply BODMAS Rule
First, perform division (30 / 2 = 15), giving 14 - 5 x 5 + 15. Next, perform multiplication (5 x 5 = 25), giving 14 - 25 + 15. Finally, perform addition and subtraction (14 + 15 - 25 = 29 - 25 = 4).
A: 2 is incorrect because the arithmetic evaluation strictly yields 4, not 2. C: 1 is incorrect as it results from incorrect precedence order. D: 3 is incorrect because standard arithmetic calculation gives 4.
B is correct because replacing the letters with their respective mathematical operators and applying BODMAS yields 14 - 25 + 15 = 4, which matches option B.
Always remember to perform Division and Multiplication before Addition and Subtraction when evaluating coded mathematical expressions.