Q. Consider five people – Mita, Ganga, Rekha, Lakshmi and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga.
Which of the following conclusions are true?
- Lakshmi is taller than Rekha
- Rekha is shorter than Mita
- Rekha is taller than Sana
- Sana is shorter than Ganga
(A) 1 and 3
(B) 3 only
(C) 2 and 4
(D) 1 only
Ans: 2 and 4
Solution:
- Ganga is taller than both Rekha and Lakshmi.
- Lakshmi is taller than Sana.
- Mita is taller than Ganga.
Now, let’s draw some conclusions based on this information:
- Lakshmi is taller than Rekha. (True, as Ganga is taller than Rekha, and Lakshmi is taller than Ganga)
- Rekha is shorter than Mita. (True, as Mita is taller than Ganga, and Ganga is taller than Rekha)
- Rekha is taller than Sana. (False, as there is no direct comparison between Rekha and Sana in the given information)
- Sana is shorter than Ganga. (True, as Ganga is taller than both Rekha and Lakshmi, and Lakshmi is taller than Sana)
So, the true conclusions are:
- Lakshmi is taller than Rekha.
- Rekha is shorter than Mita.
- Sana is shorter than Ganga.
The correct answer is:
(C) 2 and 4