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If * stand for addition

\otimes stand for subtraction

\Leftrightarrow stand for division

\updownarrow stand for multiplication

\neq stand for equal to

Then which of the following alternatives is correct?

Solution

Correct Option: 1

Decoded Operator Key:

  • \ast \rightarrow Addition (++)
  • \otimes \rightarrow Subtraction (-)
  • \Leftrightarrow \rightarrow Division (÷\div)
  • \updownarrow \rightarrow Multiplication (×\times)
  • \neq \rightarrow Equal to (==)

Step-by-Step Solution:

Let's substitute the operators into the expression for Option 1: 2↕5⊗6∗2≠6

2×56+2=62 \times 5 - 6 + 2 = 6

Now, solve the Left-Hand Side (LHS) using the strict BODMAS order of operations (Multiplication \rightarrow Addition \rightarrow Subtraction):

  1. Multiplication First: Multiply 22 by 55:

2×5=102 \times 5 = 10

The expression becomes: 106+2\text{The expression becomes: } 10 - 6 + 2

  1. Addition Next: Group and add the positive values (1010 and 22):

10+2=1210 + 2 = 12

The expression becomes: 126\text{The expression becomes: } 12 - 6

  1. Subtraction Last: Subtract 66 from 1212:

126=612 - 6 = 6

Since the calculated result (6) matches the Right-Hand Side completely (6=66 = 6), Option 1 is verified as the correct balanced equation.

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