A newly constructed office space has a row of cubicles that are numbered 1 to 20 sequentially from left to right. The employees occupy the cubicles in such a way that all those who work in the same department sit together and there is a minimum gap of one cubicle between the employees of each department. The female employees are Ankita, Bhumi, Emily, Janki, Maya and Neha whereas the male employees are Champak, Dhruv, Farhan, Ganesh, Hiten, Ishan, Ketan, and Lalit. They work in five different departments Namely Admin, Accounts, IT, HR and Sales.Further, it is also known that:(i) Dhruv and Champak are from Admin and one of them sits at the end of the row. Ankita and Hiten are from Accounts and the same is true for both of them too.(ii) Cubicles with numbers that are multiples of 9 are vacant whereas those that are multiples of 5 are occupied by females.(iii) Maya and Farhan's cubicles have two cubicles between them which are occupied. There are 4 members in HR. Janki is in cubicle 10 and there is only one vacant cubicle next to her.(iv) Ketan and Emily are neighbors of Ishan. Ganesh is not in HR. Neha, from IT, sits at a gap of two cubicles from Emily, who is the only female in Sales.(v) The sum of cubicle numbers of employees of IT department and HR department are consecutive multiples of 11.
Question
A newly constructed office space has a row of cubicles that are numbered 1 to 20 sequentially from left to right. The employees occupy the cubicles in such a way that all those who work in the same department sit together and there is a minimum gap of one cubicle between the employees of each department. The female employees are Ankita, Bhumi, Emily, Janki, Maya and Neha whereas the male employees are Champak, Dhruv, Farhan, Ganesh, Hiten, Ishan, Ketan, and Lalit. They work in five different departments Namely Admin, Accounts, IT, HR and Sales.Further, it is also known that:(i) Dhruv and Champak are from Admin and one of them sits at the end of the row. Ankita and Hiten are from Accounts and the same is true for both of them too.(ii) Cubicles with numbers that are multiples of 9 are vacant whereas those that are multiples of 5 are occupied by females.(iii) Maya and Farhan's cubicles have two cubicles between them which are occupied. There are 4 members in HR. Janki is in cubicle 10 and there is only one vacant cubicle next to her.(iv) Ketan and Emily are neighbors of Ishan. Ganesh is not in HR. Neha, from IT, sits at a gap of two cubicles from Emily, who is the only female in Sales.(v) The sum of cubicle numbers of employees of IT department and HR department are consecutive multiples of 11.
Solution
The question is a logical reasoning problem. Here's how to solve it:
Step 1: Identify the cubicles that are vacant and those occupied by females. From the problem, we know that cubicles that are multiples of 9 are vacant and those that are multiples of 5 are occupied by females. So, cubicles 9 and 18 are vacant. Cubicles 5, 10, 15, and 20 are occupied by females.
Step 2: Identify the employees who sit at the end of the row. From the problem, we know that one of Dhruv and Champak from Admin and one of Ankita and Hiten from Accounts sit at the end of the row. Since cubicle 20 is occupied by a female, Dhruv or Champak must be in cubicle 1. Similarly, since cubicle 1 is occupied by a male, Ankita or Hiten must be in cubicle 20.
Step 3: Identify the employees who have a gap of two cubicles between them. From the problem, we know that Maya and Farhan's cubicles have two cubicles between them which are occupied. Since cubicles 9 and 18 are vacant, Maya and Farhan must be in cubicles 6 and 9 or 11 and 14 or 12 and 15.
Step 4: Identify the employees who are neighbors. From the problem, we know that Ketan and Emily are neighbors of Ishan. Since Emily is a female, she must be in cubicle 5, 10, 15, or 20. Since cubicle 20 is occupied by Ankita or Hiten, Emily must be in cubicle 5, 10, or 15. Since Emily is in Sales and there is only one female in Sales, Janki who is in cubicle 10 must be in a different department. So, Emily must be in cubicle 5 or 15. If Emily is in cubicle 5, then Ishan must be in cubicle 4 or 6. But cubicle 6 is occupied by Maya or Farhan. So, Emily must be in cubicle 15 and Ishan must be in cubicle 14 or 16.
Step 5: Identify the employees who are in the same department. From the problem, we know that there are 4 members in HR and Neha from IT sits at a gap of two cubicles from Emily. Since Emily is in cubicle 15, Neha must be in cubicle 13 or 17. But cubicle 13 is occupied by Ishan. So, Neha must be in cubicle 17.
Step 6: Identify the sum of cubicle numbers of employees of IT department and HR department. From the problem, we know that the sum of cubicle numbers of employees of IT department and HR department are consecutive multiples of 11. Since Neha from IT is in cubicle 17, the sum of cubicle numbers of employees of IT department must be a multiple of 11. The only way this is possible is if the other employee from IT is in cubicle 6 or 16. But cubicle 6 is occupied by Maya or Farhan. So, the other employee from IT must be in cubicle 16.
By following these steps, we can determine the seating arrangement of the employees.
Similar Questions
An office building has 5 floors. It accommodates 143 employees on the first floor, 118 employees onthe second floor and 93 employees on the third floor. If the number of employees on each floor followsan arithmetic sequence, find the number of employees that can be accommodated on the 4th and 5thfloor of the building
A furniture company plans to have 26 employees at its corporate headquarters and 24 employees at each store it opens.Let s represent the number of stores and m represent the total number of employees.Complete the table using the relationship between s and m.s m1 3 4 9
In a company, there are 1,300 employees. The company has give departments: HR, Finance, Marketing, Administration and Manufacturing. Out of the total female employees in the company, 32% work in the HR department, 20% in the Finance department and 18% in the Marketing department. The remaining 180 female employees work in the Administration department. There are no female employees in the Manufacturing department. Out of the total male employees in the company, 15% work in the HR department, 27% in Marketing, 25% in Finance, 20% in Administration. The remaining male employees work in the Manufacturing department.What is the average number of employees (male and female) who work in the Marketing, Finance and Administration departments? 304301312308
The office Staff of XYZ Corporation presently consists of three bookkeepers( A,B, and C) and five secretaries (D,E,F,G,and H). Management is planning to open a new office in another city using three secretaries and two bookkeepers of the present staff. To do so they plan to separate certain individuals who do not function well together. The following guidelines were established to set up the new office.Bookkeepers A and C constantly find fault with one another and should not be sent as a team to the new office.C and E function well alone but not as a team.They should be separated.D and G have not been on speaking terms for many months. They should not go together.Since D and F have been competing for a promotion, they should be a team.1. If A is moved as one of the bookkeepers, which of the following CANNOT be a possible working unit?ABDEHABDGHABEFHABEGHABFGHClear selection2. If C is sent to the new office which member of the staff cannot go with C?BDFGHClear selection3. If D goes to the new office which of the following is (are) true? C cannot go.A cannot goH must also goI OnlyII OnlyI and II OnlyI and III OnlyI, II and III12. Five executives of a European corporation hold a conference in Rome:Mr. A converses in Spanish and ItalianMr. B converses in Spanish and EnglishMr. C converses in English and ItalianMr. D converses in Spanish and FrenchMr. E a native Italian can also converse in French1. Which of the following can act as interpreter when Mr C and Mr D wish to confer?Only Mr AOnly Mr BOnly Mr EMr A or Mr BAny of the other 3 executives2. Which of the following cannot converse without an interpreter?Mr B and Mr EMr A and Mr BMr A and Mr CMr B and Mr DMr A and Mr E3. Besides Mr E which of the following can converse with Mr D without an Interpreter?Only Mr AOnly Mr BOnly Mr CMr A and Mr BMr A, Mr B and Mr C4. Of the languages spoken at this conference which are the two least common?English and SpanishEnglish and FrenchItalian and SpanishEnglish and ItalianFrench and Spanish
1600 employees are working in a company in four departments: Accounts, HR, Production and Sales, 20$ of the employees are in Accounts with a male-female ratio of 5:3. 640 are working in Production where the number of males is twice the number of males of the Accounts Department. The number of HR employees is half the number of employees in the Accounts department and 60 of them are females. The number of male employee in the Sales department is same as that of the Production department. How many female employees are working in the company?A600B540C400D500
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.