Grouping and Team Formation problems
- 1. If Meh and Rey are in Car 1, how many different combination are possible?
Options- A. Six
- B. Five
- C. Three
- D. Four Discuss
Correct Answer: Three
Explanation:
Vats is in Car 1 and Aks is in Car 2. Now, Meh and Rey are also in Car 1, which means that Dan is in Car 2.
Car 1 : Vats, Meh and Rey
Car 2 : Aks , Dan
The number of possible ways to arrange the remaining person is
Car 1 : Chat, Nag
Car 2 : Ana, Vij
Car 1 : Ana, Vij
Car 2 : Chat, Nag
Car 1 : Ana
Car 2 : Chat, Nag, Vij
- 2. If Ana and Aks are not in the same car, then which among the following cannot be the complete list of the occupants of Car 1?
Options- A. Vats, Ana, Chat, Nag, Rey
- B. Vats, Ana, Vij, Rey, Meh
- C. Vats, Nag, Chat, Ana
- D. Vats, Ana, Rey, Dan Discuss
Correct Answer: Vats, Nag, Chat, Ana
Explanation:
In option (c), all the children are in Car 2, which contradicts the basic condition.
- 3. If Ana is in Car 2 which has four persons, then which of the following is definitely true?
Options- A. Nag is in Car 2.
- B. Car 1 has exactly one child.
- C. Vij is in Car 1.
- D. Car 2 has exactly one child. Discuss
Correct Answer: Car 2 has exactly one child.
Explanation:
Ana is in Car 2, which has exactly four persons, Aks is already in Car 2, and since Aks and Ana both are in Car 2, therefore Vij is also in Car 2, which means that Car 2 will have exactly one child.
- 4. If Chat is in Car 2, then who among the following is definitely in Car 1?
Options- A. Rey
- B. Vij
- C. Ana
- D. Dan Discuss
Correct Answer: Ana
Explanation:
If Chat is in Car 2, Nag is also in Car 2. Now, if Ana is also in Car 2, then Vij will also be Car 2. This would mean that all the three children are in Car 1, which in turn violates the basic condition.
- 5. Which two people cannot be a part of the same team?
Options- A. I and J
- B. A and D
- C. B and D
- D. A and C Discuss
Correct Answer: A and C
Explanation:
A and C cannot be part of the same team since F has to be always selected with C but never with A.
- 6. Which among the following is an acceptable combination?
Options- A. A, B, E, F, H, I
- B. A, B, E, G, I, K
- C. C, D, E, G, F, I
- D. None of these Discuss
Correct Answer: None of these
Explanation:
Option (a) is incorrect, as A and F can never be selected together. Option (b) is incorrect, as I and K can never be selected together. Option (c) is incorrect, as j should always be selected with C.
- 7. If C is selected, who among the following will definitely not get selected?
Options- A. B
- B. K
- C. E
- D. J Discuss
Correct Answer: K
Explanation:
If C is selected, then J is also definitely selected. Now, both H and K can be selected with is not possible (number of media coordinators should be two), or if C is selected, then K cannot be a part of the them.
- 8. If A is selected, in how many ways can the team be selected?
Options- A. Two
- B. One
- C. Three
- D. Four Discuss
Correct Answer: Two
Explanation:
If A is selected , then C cannot be selected . This would mean that any one of B or D is selected , that is, the second speechwriter can be selected in two ways. If A is selected, then F cannot be selected, that is, both E and G will get selected, that is, the two spokesman can be selected in exactly one way. Now, if A is selected, then J cannot be selected. Also H and K are to be selectedtogether,that is, the two media coordinators can be selected in exactly one way. Therefore, then team can be selected in 2 x 1 x 1, that is, two ways.
- 9. What could be the maximum strength of a team so formed?
Options- A. Four
- B. Six
- C. Five
- D. Seven Discuss
Correct Answer: Six
Explanation:
A team of six persons can be formed as : Prshant, Amir, Sood, Gupta, Sriya, Deepti or Prashant, Sood. Gupta, Sriya, Deepti, Neta
- 10. If Ruchi is a part of th team, then who among the following will definitely not be a part of the team?
Options- A. Prashant
- B. Deepti
- C. Sriya
- D. Gupta Discuss
Correct Answer: Sriya
Explanation:
If Ruchi is selected, then both Amir and Sood cannot be selected, and Sriya will be in the team only if Sood is also in the team. Therefore, Sriya cannot be a part of the team.
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