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In a student exchange program, four prominent management institutes from the city had shown an initiative to facilitate learning for their students.
The institutes were: The Pride, The Mascot, The Embezzlers and The Educators.
The selected destinations for each of these institutes were USA, Japan, France, Australia, Germany, Korea and Canada.
The chart below gives the breakup of students sent by each of these institutes to each of these countries in terms of percentage of the total students sent by it to all the places put together.
Additional Information: Canada had exactly same number of students from two of the institutes.
 
Q.What can be said regarding the following two statements? 
1. Germany had witnessed an equal number of students from three institutes.
2. Canada had witnessed an equal number of students from The Mascot and The Embezzlers.
  • a)
    If statement 1 is true, then statement 2 is necessarily false.
  • b)
    If statement 2 is true, then statement 1 is necessarily true.
  • c)
    If statement 2 is true, then statement 1 is necessarily false.
  • d)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a student exchange program, four prominent management institutesfro...
Since statement 2 provides more specific data compared to statement 1 and since 2 answer options assume statement 2 to be true, initially consider statement 2 to be true.
Let the total number of students sent abroad by The Pride, The Mascot, The Embezzlers and The Educators be 100a, 100b, 100c and 100 d respectively.
Since statement 2 is true, you get 8b = 14c.
Now, the number of students in Germany from the four colleges is 25a, 16b, 28c and 11 d respectively.
Since 8b = 14c, 16b = 28c.
Thus, The Mascot and The Embezzlers were two colleges that sent an equal number of students to Germany.
Now, it is not known whether 25a or 11dor both are equal to 16b and 28c.
If any one of them is equal, there will be exactly three colleges with equal number of students in Germany. In such a case, statement 1 will become definitely true.
If neither of them is equal to 16b and 28c, there will 2 colleges with equal students and if both are equal, there will be 4 colleges with equal number of students. In both these cases, statement 1 will become definitely false.
Thus, if statement 2 is true, statement 1 may be true or false, depending on the value of 25a and 11 d.
Hence, options 2 and 3 can be eliminated.
Now, assume that statement 1 is true.
Since there are 4 colleges and three colleges sent an equal number of students to Germany, there are 4 combinations possible.
If The Mascot, The Embezzlers and any one of the other two colleges sent an equal number of students to Germany, then the relationship becomes either 25a = 16b = 28c or 16b = 28c = 11 of In both these cases, 8b= 14c and so, statement 2 becomes definitely true.
Since statement 2 can be true in some cases, option 1 can also be eliminated.
Hence, option 4.
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In a student exchange program, four prominent management institutesfrom the city had shown an initiative to facilitate learning for their students.The institutes were: The Pride, The Mascot, The Embezzlers and The Educators.The selected destinations for each of these institutes were USA, Japan, France, Australia, Germany, Korea and Canada.The chart below gives the breakup of students sent by each of these institutes to each of these countries in terms of percentage of the total students sent by it to all the places put together.Additional Information: Canada had exactly same number of students from two of the institutes.Q.What can be said regarding the following two statements?1. Germany had witnessed an equal number of students from three institutes.2. Canada had witnessed an equal number of students from The Mascot and The Embezzlers.a)If statement 1 is true, then statement 2 is necessarily false.b)If statement 2 is true, then statement 1 is necessarily true.c)If statement 2 is true, then statement 1 is necessarily false.d)None of theseCorrect answer is option 'D'. Can you explain this answer?
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In a student exchange program, four prominent management institutesfrom the city had shown an initiative to facilitate learning for their students.The institutes were: The Pride, The Mascot, The Embezzlers and The Educators.The selected destinations for each of these institutes were USA, Japan, France, Australia, Germany, Korea and Canada.The chart below gives the breakup of students sent by each of these institutes to each of these countries in terms of percentage of the total students sent by it to all the places put together.Additional Information: Canada had exactly same number of students from two of the institutes.Q.What can be said regarding the following two statements?1. Germany had witnessed an equal number of students from three institutes.2. Canada had witnessed an equal number of students from The Mascot and The Embezzlers.a)If statement 1 is true, then statement 2 is necessarily false.b)If statement 2 is true, then statement 1 is necessarily true.c)If statement 2 is true, then statement 1 is necessarily false.d)None of theseCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a student exchange program, four prominent management institutesfrom the city had shown an initiative to facilitate learning for their students.The institutes were: The Pride, The Mascot, The Embezzlers and The Educators.The selected destinations for each of these institutes were USA, Japan, France, Australia, Germany, Korea and Canada.The chart below gives the breakup of students sent by each of these institutes to each of these countries in terms of percentage of the total students sent by it to all the places put together.Additional Information: Canada had exactly same number of students from two of the institutes.Q.What can be said regarding the following two statements?1. Germany had witnessed an equal number of students from three institutes.2. Canada had witnessed an equal number of students from The Mascot and The Embezzlers.a)If statement 1 is true, then statement 2 is necessarily false.b)If statement 2 is true, then statement 1 is necessarily true.c)If statement 2 is true, then statement 1 is necessarily false.d)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a student exchange program, four prominent management institutesfrom the city had shown an initiative to facilitate learning for their students.The institutes were: The Pride, The Mascot, The Embezzlers and The Educators.The selected destinations for each of these institutes were USA, Japan, France, Australia, Germany, Korea and Canada.The chart below gives the breakup of students sent by each of these institutes to each of these countries in terms of percentage of the total students sent by it to all the places put together.Additional Information: Canada had exactly same number of students from two of the institutes.Q.What can be said regarding the following two statements?1. Germany had witnessed an equal number of students from three institutes.2. Canada had witnessed an equal number of students from The Mascot and The Embezzlers.a)If statement 1 is true, then statement 2 is necessarily false.b)If statement 2 is true, then statement 1 is necessarily true.c)If statement 2 is true, then statement 1 is necessarily false.d)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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Canada had witnessed an equal number of students from The Mascot and The Embezzlers.a)If statement 1 is true, then statement 2 is necessarily false.b)If statement 2 is true, then statement 1 is necessarily true.c)If statement 2 is true, then statement 1 is necessarily false.d)None of theseCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. 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Canada had witnessed an equal number of students from The Mascot and The Embezzlers.a)If statement 1 is true, then statement 2 is necessarily false.b)If statement 2 is true, then statement 1 is necessarily true.c)If statement 2 is true, then statement 1 is necessarily false.d)None of theseCorrect answer is option 'D'. 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Canada had witnessed an equal number of students from The Mascot and The Embezzlers.a)If statement 1 is true, then statement 2 is necessarily false.b)If statement 2 is true, then statement 1 is necessarily true.c)If statement 2 is true, then statement 1 is necessarily false.d)None of theseCorrect answer is option 'D'. 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