Question

If the P1 pantry can have either Manjit or Sarat but not both while Ajit cooks in it and Mala is cooking the P2 pantry, which of the following can be true?

• A. Suman is a male
• B. Manjit is a female
• C. Both (a) and (b) are correct
• D. (a) is correct but (b) is not

Answer 1

The correct option is C Both (a) and (b) are correct

As per the given conditions are -
(I) Mala, Ajit and Suman - Know how to cook a dish.
(II) Females are Mala and Sapna and Males are Ajit and Sarat.
Condition 1: At least one person should be in each pantry who knows cooking.
Condition 2: Manjit and Sarat are not in the same pantry.
Condition 3: Each pantry has three persons and the pantries cannot have all females or all males chefs.
Condition 4: Each pantry has exactly three persons.
If Manjit is in P1 pantry, Sarat will be in P2 pantry, then
P1 pantry $\Rightarrow$ Manjit, Ajit (M)
P2 pantry $\Rightarrow$ Sarat (M), Mala (F)
As per the given condition since at least one male (Sarat) and one female (Mala) go in P2 entry. So, one male and one female will certainly go in P1 pantry. Therefore, 'Manjit is a female' can be a true statement. Similarly, 'Suman is a male' can be a true statement.