Question

You need to select 7 members for a Cabinet. For political issues, the party has decided to select them from the following pool of members.

Five from North - A, B, C, D, E

Five from South - L, M, N, O, P

Conditions:

i) There must be at least three members each from north and south

ii) If A is selected, E cannot be selected.

iii) If L is selected, neither O nor P can be selected.

iv) If M is selected, P cannot be selected.

Who should always be selected?

• A. Only B and C
• B. Only B, C and D
• C. Only B, C, D and N
• D. Only B, C and N

Answer 1

The correct option is C Only B, C, D and N

The correct option is c - Only B, C, D and N.
South:
Out of L, M, N, O, P, you can at max select 3 only.
If L is selected then O and P cannot be selected.
Therefore, 3 selected are L, M and N satisfying the conditions.
If L is not selected and M is selected, then
3 selected are M, N and O
If M is not selected then 3 selected are N, O and P.
In all cases N is selected.
North:
A, B, C, D and E
We need to select 4 from this zone.
As only one of A or E is selected, B, C and D are always there.