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Question

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?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
PQSBCE

Analyzing Group Formation Conditions

The task is to form a group of six people from PGTs (P, Q, R, S, T) and TGTs (A, B, C, D, E), adhering to specific constraints:

  • Constraint 1: B joins only with C. (If B is selected, C must be selected).
  • Constraint 2: A will not join with E or Q. (If A is selected, E and Q cannot be selected).
  • Constraint 3: D will not join with R. (D and R cannot be selected together).

Evaluating Possible Groups

We will check each option against the given constraints:

Option 1: PQSBCE

  • Group Members: P, Q, S, B, C, E (6 members)
  • Constraint 1 (B with C): B is present, C is present. Satisfied.
  • Constraint 2 (A not with E/Q): A is not present. Condition is met as A is absent. Satisfied.
  • Constraint 3 (D not with R): D is absent, R is absent. Satisfied.

Conclusion: This group satisfies all conditions.

Option 2: PRSABE

  • Group Members: P, R, S, A, B, E (6 members)
  • Constraint 1 (B with C): B is present, but C is absent. Violated.

Conclusion: This group is not possible because B is selected without C.

Option 3: RSTBCD

  • Group Members: R, S, T, B, C, D (6 members)
  • Constraint 3 (D not with R): D is present, and R is present. Violated.

Conclusion: This group is not possible because D and R are selected together.

Option 4: PQRBCD

  • Group Members: P, Q, R, B, C, D (6 members)
  • Constraint 3 (D not with R): D is present, and R is present. Violated.

Conclusion: This group is not possible because D and R are selected together.

Final Determination

Only Option 1 (PQSBCE) meets all the specified conditions for group formation.

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Similar Questions

  1. 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?
  2. A team of 5 members is to be selected from 5 men M1, M2, M3, M4 and M5 and 6 women W1, W2, W3, W4, W5 and W6. M5 cannot be selected with W4 or M4. M2 must be selected with M5. M1 cannot be selected with M3. W6 cannot be selected with M2 or W1 or W2. W5 cannot be selected with W6 or W2 or M2.
    If there are atleast three women in the team, then which of the following is a correct selection of the team?
  3. 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?

  4. 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?
  5. 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

  1. 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. 20.12.1989
  2. Who takes a banana?

    A. Hu

    B. Ku

    C. Moo

    D. Cannot be determined

  3. Which fruit does Ku take?

    A. Orange

    B. Plum

    C. Banana

    D. Mango

  4. Which is the correct combination?

    A. Moo - Banana

    B. Hu - Plum

    C. Hu - Orange

    D. Moo - Plum

  5. 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?

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