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There are two companies X and Y having m and n employees respectively. If an employee ‘A’ from company X knows an employee ‘B’ from company Y, then B is termed to be an acquaintance of A. In all there are exactly 1024 ways in which acquaintances can be formed. How many ordered pairs of (m, n) are possible?
  • a)
    5
  • b)
    4
  • c)
    3
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
There are two companies X and Y having m and n employees respectively...
The question means that there are m elements in set X and n elements in set Y.
The total number of each element of Y can have multiple employees of X as acquaintances.
Thus, this is similar to the problem of sending r students to p classrooms which can be done in rp ways.
Thus, m elements of set X have mn acquaintances.
mn = 1024. (m, n) = (1024, 1); (2, 10); (4, 5); (32, 2) .
Hence, the correct option is (b).
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Due to the rise in the COVID-19 pandemic, KLS Technologies, a leading IT service provider company in Bangalore has mandated each of its employees to work from home. To work from home, each of the employees was supposed to get a 5-G internet broadband connection at their home if they dont have it already. Once everyone had taken the broadband connection, HR was supposed to collect the data. HR collected the area in which employee lives and the internet connection they have. All the employees live in either of 4 areas among Bilekahalli, Bannerghatta, HSR Layout, or Koramangla. There is only 4 internet service providers in Bangalore and their names are Airmail, Xio, TSNL, and Netaway.Upon compiling the data, HR observed the following things: Number of employees living in any area and having any of the internet connection is a multiple of 5 and none of them is equal to 0. Each employee has exactly 1 internet connection. If the number of TSNL subscribers are arranged in ascending orders, it forms an increasing arithmetic progression with minimum possible common difference Number of employees having Airmail connection and living in Koramangla, Bannerghatta, HSR and Bilekahalli are 25,10,40 and 35 respectively 10% of the total employees live in HSR and have Netaway connection. 35 employees live in Koramangla and have Netaway connection. Number of employees living in Bannerghatta and HSR layout is equal to the number of employees living in Koramangla and Bilekahalli. It is also equal to the sum of the number of employees having Xio and Netaway. The number of employees living in HSR is 40% more than that of Bannerghatta and the number of employees living in Bilekahalli is 40 more than the number of employees in Koramangala Number of employees living in Bannerghatta and have Xio is equal to the number of employees living in Bilekahalli and have Xio which is equal to the number of employees living in Bilekahalli and have Netaway which is equal to 40 Number of employees living in Bannerghatta and have TSNL connection is double that of employees living in the same area but have Netaway Total number of employees having TSNL connection is 190Q.How many employees are there in total?

Due to the rise in the COVID-19 pandemic, KLS Technologies, a leading IT service provider company in Bangalore has mandated each of its employees to work from home. To work from home, each of the employees was supposed to get a 5-G internet broadband connection at their home if they dont have it already. Once everyone had taken the broadband connection, HR was supposed to collect the data. HR collected the area in which employee lives and the internet connection they have. All the employees live in either of 4 areas among Bilekahalli, Bannerghatta, HSR Layout, or Koramangla. There is only 4 internet service providers in Bangalore and their names are Airmail, Xio, TSNL, and Netaway.Upon compiling the data, HR observed the following things: Number of employees living in any area and having any of the internet connection is a multiple of 5 and none of them is equal to 0. Each employee has exactly 1 internet connection. If the number of TSNL subscribers are arranged in ascending orders, it forms an increasing arithmetic progression with minimum possible common difference Number of employees having Airmail connection and living in Koramangla, Bannerghatta, HSR and Bilekahalli are 25,10,40 and 35 respectively 10% of the total employees live in HSR and have Netaway connection. 35 employees live in Koramangla and have Netaway connection. Number of employees living in Bannerghatta and HSR layout is equal to the number of employees living in Koramangla and Bilekahalli. It is also equal to the sum of the number of employees having Xio and Netaway. The number of employees living in HSR is 40% more than that of Bannerghatta and the number of employees living in Bilekahalli is 40 more than the number of employees in Koramangala Number of employees living in Bannerghatta and have Xio is equal to the number of employees living in Bilekahalli and have Xio which is equal to the number of employees living in Bilekahalli and have Netaway which is equal to 40 Number of employees living in Bannerghatta and have TSNL connection is double that of employees living in the same area but have Netaway Total number of employees having TSNL connection is 190Q.What is the number of employees that have Netaway?

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There are two companies X and Y having m and n employees respectively. If an employee ‘A’ from company X knows an employee ‘B’ from company Y, then B is termed to be an acquaintance of A. In all there are exactly 1024 ways in which acquaintances can be formed. How many ordered pairs of (m, n) are possible?a)5b)4c)3d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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