Question

Answer question given below by reading the following information:
Elle is three times older than Yogesh; Zaheer is half the age of Wahida. Yogesh is older than Zaheer.
Which of the following can be inferred?

• A. Yogesh is older than Wahida.
• B. Elle is older than Wahida.
• C. Elle may be younger than Wahida.
• D. Zaheer is older than Elle.

Hint:

To solve inequality puzzles quickly, assign simple arbitrary numbers that satisfy the conditions:
Let $Z = 10 \implies W = 20$.
Since $Y > Z$, let $Y = 11 \implies E = 3 \times 11 = 33$.
Comparing the values: $E (33) > W (20)$, which confirms that Elle is older than Wahida.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
This problem requires setting up mathematical inequalities based on the relative age relationships of the four individuals.
Detailed Explanation:
Let the ages of Elle, Yogesh, Zaheer, and Wahida be represented by $E$, $Y$, $Z$, and $W$ respectively.
From the given statements, we can write the following relations:
1. $E = 3Y \implies Y = \frac{E}{3}$
2. $Z = \frac{W}{2} \implies W = 2Z$
3. $Y > Z$
Let us substitute $Y$ and $Z$ into the third inequality: \[ \frac{E}{3} > \frac{W}{2} \] Cross-multiplying (since ages are positive quantities, the direction of the inequality remains unchanged): \[ 2E > 3W \] Divide both sides by 2: \[ E > 1.5W \] Since $W$ must be a positive number (representing a person's age), $1.5W$ is strictly greater than $W$: \[ E > 1.5W > W \implies E > W \] Therefore, Elle is strictly older than Wahida.

Step 2: Final Answer:
The valid inference is "Elle is older than Wahida", which corresponds to Option (B).