NIELIT 2016 MAR Scientist D: 33

Question

The question is based on the information provided below:

From a group of seven people – $\text{J, K, L, M, N, P}$ and $\text{Q}$ – exactly four will be selected to attend a diplomat’s retirement dinner. Selection must conform the following conditions:

1. Either $\text{J}$ or $\text{K}$ must be selected, but $\text{J}$ and $\text{K}$ cannot both be selected
2. Either $\text{N}$ or $\text{P}$ must be selected, but $\text{N}$ and $\text{P}$ cannot both be selected
3. $\text{N}$ cannot be selected unless $\text{L}$ is selected
4. $\text{Q}$ cannot be selected unless $\text{K}$ is selected

If $\text{P}$ is not selected to attend the retirement dinner, then exactly how many different groups of four are there each of which would be an acceptable selection?

• A. one
• B. two
• C. three
• D. four

Answer 1

The answer is (C). three