Question

A team of six members is to be selected from five men M1, M2, M3 M4, and M5, and five women W1, W2, W3, W4, and W5. W2 and W5 cannot be selected together. M1 and W3 have to be selected together. W3 and W4 cannot be selected with M2. W1 and M5 cannot be selected together. M3 and M4 cannot be selected together.

Which of the following members may be selected?

1. M4, M5, W1, W3, W4
2. M1, M2, W1, W3, W5
3. M4, M5, W2, W4, W5
4. M1, M3, W1, W3, W4

Answer 1

Correct Answer - Option 4 : M1, M3, W1, W3, W4

A team of six members is to be selected from five men M1, M2, M3 M4, and M5, and five women W1, W2, W3, W4, and W5.

i) W2 and W5 cannot be selected together.

ii) M1 and W3 have to be selected together.

iii) W3 and W4 cannot be selected with M2.

iv) W1 and M5 cannot be selected together.

v) M3 and M4 cannot be selected together.

For this question, we have to check each option according to the given information in question as-

Option (1) M4, M5, W1, W3, W4 → Wrong

As W1 and M5 cannot be selected together.

Option (2) M1, M2, W1, W3, W5 → Wrong

As W3 and W4 cannot be selected with M2.

Option (3) M4, M5, W2, W4, W5 → Wrong

As W2 and W5 cannot be selected together.

Option (4) M1, M3, W1, W3, W4 → Correct.

As all the members are selected according to the given information.

Hence, Option (4) is correct.