Question

If \(A \star B\) means \(A\) and \(B\) are of the same age, and \(A-B\) means \(B\) is younger than \(A\), then \( \text{Himani} \star \text{Mahesh} - \text{Jay} \) means:

• A. Himani is younger than Jay
• B. Mahesh is younger than Jay
• C. Jay is the youngest
• D. Jay is the oldest

Hint:

Convert coded relations immediately into mathematical symbols such as \(=\), \(>\), and \(<\). This makes the comparison straightforward.

Answer 1

The Correct Option is C

Concept: Translate the symbols into age relations. \[ A \star B \Rightarrow A \text{ and } B \text{ are of the same age} \] \[ A-B \Rightarrow B \text{ is younger than } A \]

Step 1: Interpret the first relation. \[ \text{Himani} \star \text{Mahesh} \] means \[ H=M \] where \(H\) and \(M\) denote the ages of Himani and Mahesh respectively.

Step 2: Interpret the second relation. \[ \text{Mahesh}-\text{Jay} \] means Jay is younger than Mahesh. \[ M>J \]

Step 3: Combine the relations. Since \[ H=M \] and \[ M>J, \] we get \[ H=M>J \] Thus, Jay is younger than both Himani and Mahesh. \[ \boxed{\text{Jay is the youngest}} \] Hence, the correct answer is Option (C).