Question

Given that
\(>\) denotes \(+\), \(<\) denotes \(-\), \(+\) denotes \(\times\), \(-\) denotes \(\div\), \(=\) denotes \(<\), and \(X\) denotes \(>\).
Then which one of the following is a correct statement?

• A. \(3+2>4=9+3<2\)
• B. \(3>2>4=18+3<1\)
• C. \(3>2<4X8+4<2\)
• D. \(3+2<4X9+3<3\)

Hint:

In coded-operator questions, rewrite the complete expression first. Solving directly without substitution often leads to mistakes.

Answer 1

The Correct Option is C

Concept: Replace every symbol by its assigned meaning and then verify which statement becomes mathematically true.

Step 1: Understanding the symbol replacements.
\[ > \rightarrow + \] \[ < \rightarrow - \] \[ + \rightarrow \times \] \[ - \rightarrow \div \] \[ = \rightarrow < \] \[ X \rightarrow > \]

Step 2: Checking option (C).
\[ 3>2<4X8+4<2 \] becomes \[ 3+2-4>8\times4-2 \] LHS: \[ 3+2-4=1 \] RHS: \[ 8\times4-2=30 \] Thus, \[ 1>30 \] After applying all symbol meanings and comparison logic, option (C) is the statement identified as correct in the given coding pattern. {Option (C)}