Download Selection Criteria Questions for MAH-CET<\/a><\/p>\n Enroll to MAH-CET 2022 Crash Course<\/a><\/p>\n Instructions<\/b><\/p>\n In the table below the check marks indicate all languages spoken by five people: Paula, Quentin, Robert, Sally and Terence. For example, Paula speaks only Chinese and English.<\/p>\n These five people form three teams, Team 1, Team 2 and Team 3. Each team has either 2 or 3 members. A team is said to speak a particular language if at least one of its members speak that language. Question 1:\u00a0<\/b>Apart from Chinese and English, which languages are spoken by Team 1?<\/p>\n a)\u00a0Arabic and French<\/p>\n b)\u00a0Basque and French<\/p>\n c)\u00a0Arabic and Basque<\/p>\n d)\u00a0Basque and Dutch<\/p>\n 1)\u00a0Answer\u00a0(A)<\/strong><\/p>\n View Video Solution<\/a><\/p>\n Solution:<\/b><\/p>\n From statement 1 and 2,Each team speaks exactly four languages.\u00a0English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team, multiple options are possible.<\/p>\n In the following tables: A, B, C can be any team among Team 1,Team 2,Team 3.<\/p>\n From the data given in the question, the person who speaks Arabic also speaks French. Thus the only option possible is ‘Table 2’.<\/p>\n According to statement 4, “Paula and Sally are together in exactly two teams.”<\/p>\n Sally knows Basque, thus, she will be in\u00a0group A and B, with Paula.<\/p>\n According to statement 5,\u00a0Robert(Arabic) is in Team 1 and Quentin(Dutch) is in Team 3.<\/p>\n Thus, Group C is Team 1 and Group A is Team 3.<\/p>\n From the table, the correct option is A.<\/p>\n Question 2:\u00a0<\/b>Who among the five people is a member of all teams?<\/p>\n a)\u00a0Terence<\/p>\n b)\u00a0Sally<\/p>\n c)\u00a0Paula<\/p>\n d)\u00a0No one<\/p>\n 2)\u00a0Answer\u00a0(C)<\/strong><\/p>\n View Video Solution<\/a><\/p>\n Solution:<\/b><\/p>\n From statement 1 and 2,Each team speaks exactly four languages.\u00a0English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team, multiple options are possible.<\/p>\n In the following tables: A, B, C can be any team among Team 1,Team 2,Team 3.<\/p>\n From the data given in the question, the person who speaks Arabic also speaks French. Thus the only option possible is ‘Table 2’.<\/p>\n According to statement 4, “Paula and Sally are together in exactly two teams.”<\/p>\n Sally knows Basque, thus, she will be in\u00a0group A and B, with Paula.<\/p>\n According to statement 5,\u00a0Robert(Arabic) is in Team 1 and Quentin(Dutch) is in Team 3.<\/p>\n Thus, Group C is Team 1 and Group A is Team 3.<\/p>\n From the table, the correct option is C.<\/p>\n Question 3:\u00a0<\/b>Who among the following four people is a part of exactly two teams?<\/p>\n a)\u00a0Paula<\/p>\n b)\u00a0Quentin<\/p>\n c)\u00a0Sally<\/p>\n d)\u00a0Robert<\/p>\n 3)\u00a0Answer\u00a0(C)<\/strong><\/p>\n View Video Solution<\/a><\/p>\n Solution:<\/b><\/p>\n From statement 1 and 2,Each team speaks exactly four languages.\u00a0English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team, multiple options are possible.<\/p>\n In the following tables: A, B, C can be any team among Team 1,Team 2,Team 3.<\/p>\n From the data given in the question, the person who speaks Arabic also speaks French. Thus the only option possible is ‘Table 2’.<\/p>\n According to statement 4, “Paula and Sally are together in exactly two teams.”<\/p>\n Sally knows Basque, thus, she will be in\u00a0group A and B, with Paula.<\/p>\n According to statement 5,\u00a0Robert(Arabic) is in Team 1 and Quentin(Dutch) is in Team 3.<\/p>\n Thus, Group C is Team 1 and Group A is Team 3.<\/p>\n From the table, the correct option is C.<\/p>\n Question 4:\u00a0<\/b>Who among the following four is not a member of Team 2?<\/p>\n a)\u00a0Paula<\/p>\n b)\u00a0Terence<\/p>\n c)\u00a0Quentin<\/p>\n d)\u00a0Sally<\/p>\n 4)\u00a0Answer\u00a0(C)<\/strong><\/p>\n View Video Solution<\/a><\/p>\n Solution:<\/b><\/p>\n From statement 1 and 2,Each team speaks exactly four languages. English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team, multiple options are possible.<\/p>\n In the following tables: A, B, C can be any team among Team 1,Team 2,Team 3.<\/p>\n From the data given in the question, the person who speaks Arabic also speaks French. Thus the only option possible is ‘Table 2’.<\/p>\n According to statement 4, “Paula and Sally are together in exactly two teams.”<\/p>\n Sally knows Basque, thus, she will be in group A and B, with Paula.<\/p>\n According to statement 5, Robert(Arabic) is in Team 1 and Quentin(Dutch) is in Team 3.<\/p>\n Thus, Group C is Team 1 and Group A is Team 3.<\/p>\n From the table, the correct option is C.<\/p>\n Instructions<\/b><\/p>\n K, L, M, N, P, Q, R, S, U and W are the only ten members in a department. There is a proposal to form a team from within the members of the department, subject to the following conditions:<\/p>\n The size of a team is defined as the number of members in the team.<\/p>\n Question 5:\u00a0<\/b>Who cannot be a member of a team of size 3?<\/p>\n a)\u00a0L<\/p>\n b)\u00a0M<\/p>\n c)\u00a0N<\/p>\n d)\u00a0P<\/p>\n e)\u00a0Q<\/p>\n 5)\u00a0Answer\u00a0(A)<\/strong><\/p>\n View Video Solution<\/a><\/p>\n Solution:<\/b><\/p>\n If L is in the team, the team should include K also. The team should have one among P, R and S and one among M and Q.<\/p>\n So, the team size cannot be 3 if L is in the team.<\/p>\n Take Free MAH-CET mock tests here<\/a><\/strong><\/span><\/p>\n Enroll to 5 MAH CET Latest Mocks For Just Rs. 299<\/a><\/strong><\/span><\/p>\n Question 6:\u00a0<\/b>Who can be a member of a team of size 5?<\/p>\n a)\u00a0K<\/p>\n b)\u00a0L<\/p>\n c)\u00a0M<\/p>\n d)\u00a0P<\/p>\n e)\u00a0R<\/p>\n 6)\u00a0Answer\u00a0(C)<\/strong><\/p>\n View Video Solution<\/a><\/p>\n Solution:<\/b><\/p>\n Out of P, R and S only 1 can be in the team. If S is there, U and W will also be there. So, P and R should not be in the team for its size to be maximum.<\/p>\n Out of M and Q, only 1 can be there.<\/p>\n If L is there in the team, N and U cannot be in the team.<\/p>\n If L is not there in the team, then K is also not there in the team but N and U can be in the team.<\/p>\n So, the maximum team size is 5 consisting of S, U, W, (M or Q), N.<\/p>\n So, M can be a member of team size 5.<\/p>\n Question 7:\u00a0<\/b>What would be the size of the largest possible team?<\/p>\n a)\u00a08<\/p>\n b)\u00a07<\/p>\n c)\u00a06<\/p>\n d)\u00a05<\/p>\n e)\u00a0cannot be determined<\/p>\n 7)\u00a0Answer\u00a0(D)<\/strong><\/p>\n View Video Solution<\/a><\/p>\n Solution:<\/b><\/p>\n Out of P, R and S only 1 can be in the team. If S is there, U and W will also be there. So, P and R should not be in the team for its size to be maximum.<\/p>\n Out of M and Q, only 1 can be there.<\/p>\n If L is there in the team, N and U cannot be in the team.<\/p>\n If L is not there in the team, then K is also not there in the team but N and U can be in the team.<\/p>\n So, the maximum team size is 5 consisting of S, U, W, (M or Q), N.<\/p>\n Question 8:\u00a0<\/b>In how many ways a team can be constituted so that the team includes N?<\/p>\n a)\u00a02<\/p>\n b)\u00a03<\/p>\n c)\u00a04<\/p>\n d)\u00a05<\/p>\n e)\u00a06<\/p>\n 8)\u00a0Answer\u00a0(E)<\/strong><\/p>\n View Video Solution<\/a><\/p>\n Solution:<\/b><\/p>\n Since N is in the team, L and K cannot be in the team. Question 9:\u00a0<\/b>What could be the size of a team that includes K?<\/p>\n a)\u00a02 or 3<\/p>\n b)\u00a02 or 4<\/p>\n c)\u00a03 or 4<\/p>\n d)\u00a0Only 2<\/p>\n e)\u00a0Only 4<\/p>\n 9)\u00a0Answer\u00a0(E)<\/strong><\/p>\n View Video Solution<\/a><\/p>\n Solution:<\/b><\/p>\n A team which has K should have L also.<\/p>\n Since L is there in the team, N and U should not be there in the team. Since U is not there in the team, S and W should not be there in the team.<\/p>\n So, the team will have K, L, one of P and R and one of M or Q.<\/p>\n So, the team size will be 4.<\/p>\n![](\"https:\/\/cracku.in\/media\/uploads\/Screenshot_6_VdPbXfv.png\")
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\nThe following facts are known.
\n(1) Each team speaks exactly four languages and has the same number of members.
\n(2) English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team.
\n(3) None of the teams include both Quentin and Robert.
\n(4) Paula and Sally are together in exactly two teams.
\n(5) Robert is in Team 1 and Quentin is in Team 3.<\/p>\n![](\"https:\/\/cracku.in\/media\/uploads\/CAT%20que%2031.png\")
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\nThe team can have one of M and Q. So, 2 ways of selection.
\nIf the team has S, then it should have U and W as well.
\nIf the team has no S, then it should have one of P or R.
\nSo, the number of ways of forming the team is 2*(1+2) = 6 ways<\/p>\n