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Team Formation Test - 1

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Team Formation Test - 1
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  • Question 1
    3 / -1

    Direction: Nine people in a family have to go out for dinner. There are two available cars - Car 1 and Car 2 - each of which can accommodate five persons. But there are certain conditions that need to be followed:

    (i) Vats will always go in Car 1 and does not want Aks in the same car.
    (ii) Exactly two out of the three children - Meh, Rey and Dan - will be in one car.
    (iii) Chat and Nag will always be together in a car.
    (iv) If Ana and Aks are in the same car, then Vij will also be in the same car.
    (v) Any car cannot have more than five persons.

    Q. If Meh and Rey are in Car 1, how many different combination are possible?

    Solution

    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

  • Question 2
    3 / -1

    Direction: Nine people in a family have to go out for dinner. There are two available cars - Car 1 and Car 2 - each of which can accommodate five persons. But there are certain conditions that need to be followed:

    (i) Vats will always go in Car 1 and does not want Aks in the same car.
    (ii) Exactly two out of the three children - Meh, Rey and Dan - will be in one car.
    (iii) Chat and Nag will always be together in a car.
    (iv) If Ana and Aks are in the same car, then Vij will also be in the same car.
    (v) Any car cannot have more than five persons.

    Q. 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?

    Solution

    In option (c), all the children are in Car 2, which contradicts the basic condition.

  • Question 3
    3 / -1

    Direction: Nine people in a family have to go out for dinner. There are two available cars - Car 1 and Car 2 - each of which can accommodate five persons. But there are certain conditions that need to be followed:

    (i) Vats will always go in Car 1 and does not want Aks in the same car.
    (ii) Exactly two out of the three children - Meh, Rey and Dan - will be in one car.
    (iii) Chat and Nag will always be together in a car.
    (iv) If Ana and Aks are in the same car, then Vij will also be in the same car.
    (v) Any car cannot have more than five persons.

    Q. If Ana is in Car 2 which has four persons, then which of the following is definitely true?

    Solution

    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.

  • Question 4
    3 / -1

    Direction: Nine people in a family have to go out for dinner. There are two available cars - Car 1 and Car 2 - each of which can accommodate five persons. But there are certain conditions that need to be followed:

    (i) Vats will always go in Car 1 and does not want Aks in the same car.
    (ii) Exactly two out of the three children - Meh, Rey and Dan - will be in one car.
    (iii) Chat and Nag will always be together in a car.
    (iv) If Ana and Aks are in the same car, then Vij will also be in the same car.
    (v) Any car cannot have more than five persons.

    Q. If Chat is in Car 2, then who among the following is definitely in Car 1?

    Solution

    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.

  • Question 5
    3 / -1

    Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:

    (i) If A is selected, neither F nor J can be selected.
    (ii) If C is selected, then J is definitely selected.
    (iii) H and K will always be selected together.
    (iv) I and K will never be selected together.

    Q. Which among the following is an acceptable combination?

    Solution

    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.

  • Question 6
    3 / -1

    Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:

    (i) If A is selected, neither F nor J can be selected.
    (ii) If C is selected, then J is definitely selected.
    (iii) H and K will always be selected together.
    (iv) I and K will never be selected together.

    Q. If C is selected, who among the following will definitely not get selected?

    Solution

    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.

  • Question 7
    3 / -1

    Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:

    (i) If A is selected, neither F nor J can be selected.
    (ii) If C is selected, then J is definitely selected.
    (iii) H and K will always be selected together.
    (iv) I and K will never be selected together.

    Q. If A is selected, in how many ways can the team be selected?

    Solution

    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.

  • Question 8
    3 / -1

    Direction: Big B, the political wizard, was selecting his team for the forthcoming elections. His team was to have two speechwriters, two spokesman and two media coordinators. The available speechwriters for selection were A, B, C and D. Similarly, the available spokesmen were E, F and G and the available media coordinators were H, I, J, K. Further conditions are as follows:

    (i) If A is selected, neither F nor J can be selected.
    (ii) If C is selected, then J is definitely selected.
    (iii) H and K will always be selected together.
    (iv) I and K will never be selected together.

    Q. What could be the maximum strength of a team so formed?

    Solution

    A team of six persons can be formed as : Prshant, Amir, Sood, Gupta, Sriya, Deepti or Prashant, Sood. Gupta, Sriya, Deepti, Neta

  • Question 9
    3 / -1

    Direction: A team is to be selected out of the four boys - Prashant, Amit, Sood and Gupta - and the four girls - Ruchi, Neha, Deepti and Sriya - such that the team should have at least two boys and two girls. Further conditions are as follows:

    (i) If Ruchi is selected, neither Amit nor Sood can be selected.
    (ii) If Prashant is selected, Gupta is also selected.
    (iii) Sriya will be in the team only if Sood is also in the team.
    (iv) Amit, if selected would not like to have Neha in the team.

    Q. If Ruchi is a part of th team, then who among the following will definitely not be a part of the team?

    Solution

    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.

  • Question 10
    3 / -1

    Direction: A team is to be selected out of the four boys - Prashant, Amit, Sood and Gupta - and the four girls - Ruchi, Neha, Deepti and Sriya - such that the team should have at least two boys and two girls. Further conditions are as follows:

    (i) If Ruchi is selected, neither Amit nor Sood can be selected.
    (ii) If Prashant is selected, Gupta is also selected.
    (iii) Sriya will be in the team only if Sood is also in the team.
    (iv) Amit, if selected would not like to have Neha in the team.

    Q. If Sriya and Deepti are part of a team of four, then who will definitely be a part of the team?

    Solution

    Is Sriya and Deepti are part of a team of four, it means that two boys have to be selected. Since Sriya is selected therefore Sood will be definitely selected. Now , the second boy can be either Amit or Gupta. Therefore, the answer cannot be determined.

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