If there are atleast three women in the team, then which of the following is a correct selection of the team?
The objective is to identify the correct team selection of 5 members from 5 men and 6 women, adhering to specific constraints and a condition regarding the number of women.
Team Selection Conditions & Constraints
- Team Size: Exactly 5 members.
- Minimum Women: At least 3 women must be in the team.
- M2/M5 Pairing: M2 and M5 must be selected together or not at all.
- M1/M3 Exclusion: M1 and M3 cannot be selected together.
- M5 Exclusion Rule: If M5 is selected, W4 and M4 cannot be selected.
- W6 Exclusion Rule: If W6 is selected, M2, W1, and W2 cannot be selected.
- W5 Exclusion Rule: If W5 is selected, W6, W2, and M2 cannot be selected.
Analysis of Team Selection Options
Option 1: {M2, W2, W4, M5, W6}
- Women Count: 3 (W2, W4, W6) - Meets the minimum requirement.
- M2/M5 Pairing: M2 and M5 are present. - OK.
- Constraint Violation: W6 is selected, but M2 is also selected. This violates the rule "W6 cannot be selected with M2".
- Constraint Violation: M5 is selected, but W4 is also selected. This violates the rule "M5 cannot be selected with W4".
This option is incorrect due to multiple constraint violations.
Option 2: {M2, W3, M5, M3, W2}
- Women Count: 2 (W3, W2) - Does NOT meet the minimum requirement of 3 women.
This option is incorrect as it fails the primary condition.
Option 3: {M1, W5, W4, M4, W3}
- Women Count: 3 (W5, W4, W3) - Meets the minimum requirement.
- M2/M5 Pairing: Neither M2 nor M5 is selected. - OK.
- M1/M3 Exclusion: M1 is selected, M3 is not selected. - OK.
- M5 Exclusion Rule: M5 is not selected. - OK.
- W6 Exclusion Rule: W6 is not selected. - OK.
- W5 Exclusion Rule: W5 is selected. The excluded members (W6, W2, M2) are not selected. - OK.
This option satisfies all conditions and constraints.
Option 4: {M1, W2, W4, W6, M3}
- Women Count: 3 (W2, W4, W6) - Meets the minimum requirement.
- M1/M3 Exclusion: M1 and M3 are both selected. - VIOLATES the rule "M1 cannot be selected with M3".
This option is incorrect due to violating the M1/M3 exclusion rule.
Conclusion
Based on the analysis, only Option 3 meets all the specified requirements for team selection.
Similar Questions
- A team is to be selected from 9 players A, B, C, D, E, F, G, H and M. There will be six players in the team. A cannot be selected with B. G cannot be selected with H. H and A should be in the same team. E cannot be selected with F. C cannot be selected with H but always must be selected with D.
Which of the following is a correct selection of the team? From a group of five boys, P, Q, R, S, T and three girls X, Y, Z, a team of five have to be selected on the basis of the following criteria.
S and T cannot be together.
R and S have to be together.
S and Z cannot be together.
Q cannot be put with P.
If S is one of the members, which one of the following teams will be formed?
- A group of six persons has to be formed from among the Post Graduate Teachers (PGTs) P, Q, R, S and T and Trained Graduate Teachers (TGTs) A, B, C, D and E. There are some conditions of the persons for the group formation.
B will join the group only with C.
A will not join with E or Q. D will not join with R.
Which of the following groups is possible? - Group captain is selecting 5 members out of A, B, C, D, E, F, P, Q, R and T for his team. A, E and F can only be selected together. If B is selected, then neither Q nor D can be selected. C cannot be selected with E or F. Only one can be selected from B or T.
Which of the following selection is correct? - A team of 5 members is to be selected from 6 men A, B, C, D, E and F and 6 women P, Q, R, S, T and U. C and U have to be selected together. If B is selected, then neither U nor Q can be selected. Among A, B, S and T exactly two persons are to be selected. If E is selected, then neither S nor B can be selected. If A is selected, then B will be selected.
Which of the following is the correct selection of the team?
Important Questions from Grouping and Selections
Dates of birth of some persons are given below. Find out the date of birth of the oldest person:
A. 12.08.1989
B. 13.09.1991
C. 19.06.1991
D. 20.02.1989
E. 22.03.1991
F. 20.01.1991
G. 20.12.1989Who takes a banana?
A. Hu
B. Ku
C. Moo
D. Cannot be determined
Which fruit does Ku take?
A. Orange
B. Plum
C. Banana
D. Mango
Which is the correct combination?
A. Moo - Banana
B. Hu - Plum
C. Hu - Orange
D. Moo - Plum
In a class of 120 students, 100 students participate in either Golf or Skating or both. Among them, total 60 students participate in Golf. A total of 56 students participate in Skating. How many students participate only in Skating?
