Question:medium

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:

Show Hint

Convert coded relations immediately into mathematical symbols such as \(=\), \(>\), and \(<\). This makes the comparison straightforward.
  • Himani is younger than Jay
  • Mahesh is younger than Jay
  • Jay is the youngest
  • Jay is the oldest
Show Solution

The Correct Option is C

Solution and Explanation


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. \[ {\text{Jay is the youngest}} \] Hence, the correct answer is Option (C).
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