A CHC superintendent is assigning bed to five patients Nikhil, Promila, Tarak, Vimla, and Ulhas to three rooms. Each room has two single beds and the assignment is subject to following conditions:
Patients sharing a room must be of the same sex.
A patient with a wound cannot share a room with a patient who has an infection.
Ulhas and Vimla have wounds and no infection.
Nikhil has an infection.
Promila and Tarak have bone fractures without any wound or infection.
As the names suggest Nikhil, Tarak, and Ulhas are male and the other two patients are female.
Q61. If a sixth patient turns up and assigned to the vacant bed, the sixth patient
A CHC superintendent is assigning bed to five patients Nikhil, Promila, Tarak, Vimla, and Ulhas to three rooms. Each room has two single beds and the assignment is subject to following conditions:
Patients sharing a room must be of the same sex.
A patient with a wound cannot share a room with a patient who has an infection.
Ulhas and Vimla have wounds and no infection.
Nikhil has an infection.
Promila and Tarak have bone fractures without any wound or infection.
As the names suggest Nikhil, Tarak, and Ulhas are male and the other two patients are female.
Q61. If a sixth patient turns up and assigned to the vacant bed, the sixth patient
The correct option is C (c) Is male
There are three male patients and two female patients. Each room has to be shared by two patients of the same sex. If the sixth patient by name Z is a female then there are exactly three male and three female patients. In this situation it would be impossible to put all the patients in rooms such that both patients are of the same sex. Hence the sixth patient must be a male.
If in the exam situation you miss this point, you can still prove that other answer choices are wrong. The following valid room allotments exists.
I. (Nikhil, Tarak) (Ulhas, Z) and (Promila, Vimla)
II. (Nikhil, Z) (Tarak, Ulhas) and (Promila, Vimla)
You may verify that there is no other permissible room allotment as Nikhil cannot be with Ulhas in the same room. Assuming that Z has an infection still lie can be in the same room with Nikhil, because two patients with infections can be placed in the same room. Thus, (a) does not follow. By the same logic (b) is also not necessarily true. There is no basis to conclude that Z has a wound. That rules out (d).
(c) Is male
There are three male patients and two female patients. Each room has to be shared by two patients of the same sex. If the sixth patient by name Z is a female then there are exactly three male and three female patients. In this situation it would be impossible to put all the patients in rooms such that both patients are of the same sex. Hence the sixth patient must be a male.
If in the exam situation you miss this point, you can still prove that other answer choices are wrong. The following valid room allotments exists.
I. (Nikhil, Tarak) (Ulhas, Z) and (Promila, Vimla)
II. (Nikhil, Z) (Tarak, Ulhas) and (Promila, Vimla)
You may verify that there is no other permissible room allotment as Nikhil cannot be with Ulhas in the same room. Assuming that Z has an infection still lie can be in the same room with Nikhil, because two patients with infections can be placed in the same room. Thus, (a) does not follow. By the same logic (b) is also not necessarily true. There is no basis to conclude that Z has a wound. That rules out (d).
