Question

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. None of these
• A. Zaheer is 10-year-old
• B. Both Yogesh and Wahida are older than Zaheer by the same number of years
• C. Both (a) and (b)
• D. None of these

Answer 1

The Correct Option is C

Let ages be: Elle = $3Y$ (Y = Yogesh's age), Zaheer = $Z$, Wahida = $2Z$.
Given: $Y>Z$. Wahida = $2Z$, could be larger than, equal to, or smaller than Elle depending on values. For example: If $Y=8$, $Z=6$, Elle = 24, Wahida = 12 ⇒ Elle older.
If $Y=5$, $Z=4$, Elle = 15, Wahida = 8 ⇒ Elle older.
If $Y=3$, $Z=2$, Elle = 9, Wahida = 4 ⇒ Elle older.
However, for certain values (not violating constraints), Wahida could be older ⇒ uncertainty ⇒ "Elle may be younger than Wahida" is possible.

Answer 2

From (a): $Z = 10$, $W = 20$.
From (b): $Y - 10 = 20 - 10$ ⇒ $Y = 20$.
Elle = $3 \times Y = 60$. Both (a) and (b) together allow exact computation of Elle's age.