Question
Which of the following combinations is
correct? Study the following information and answer the questions based on it. 1. Nine women (Renu, Tina, Shweta, Mala, Shilpa, Sugandha, Ritu, Hina, Meera) shop from seven supermarkets (More, Easy Day, The Dollar Store, Store 99, Big Bazaar, Fresh n Easy, Big Basket) located on seven different floors in a seven storey shopping complex. Each floor of the shopping complex is dedicated to only one supermarket. Each supermarket has four departments (electronics, grocery, home décor and fashion). Each woman shops in one department of at least one supermarket. 2. No woman shops from more than one department in a particular supermarket. No woman shops in a particular department from more than one supermarket. Each woman shops in at least two departments but not more than four departments. 3. Renu shops electronics from Store 99 and grocery from big basket and fashion from Fresh n Easy. Renu shops on third floor but never from The Dollar Store. Neither Shweta not Meera shop from electronics department in any supermarket. Shweta shops from three supermarkets out of which one is on the second floor and the other on the fifth floor. 4. Meera shops grocery from first floor but not from More supermarket. Shilpa shops from three departments. One of these departments is in The Dollar Store and the other is on the fourth floor. Shilpa shops for Home Décor and fashion from consecutive floor. Twice Ritu shops from floor adjacent to the floor from which Shweta shops and for once Ritu and Shweta shop from the same floor. 5. Renu, Meera and Tina shop together on two floors, once with Hina and once with Ritu but not on first floor. Sugandha and Mala each shop from four supermarkets and thrice from the common supermarkets. Hina shops for electronics from Fresh n Easy along with Shweta shopping in a different department. 6. Shweta shops in grocery department of Big Bazaar on 6th floor. Shweta shops in Home Décor and Fashion departments from different supermarkets. Shilpa shops only till fifth floor and not beyond it. Ritu shops in only Electronics and Grocery departments while Hina shops only in fashion and electronics departments. Store 99 is not situated anywhere below the dollar store. Shilpa shops electronics from Easy Day. Mala shops from Home Décor department from the highest floor she visits. 7. Mala but not Sugandha shops from fifth floor. Sugandha but not Mala shops from Fresh n Easy. Mala shops from 4 departments from 4 different supermarkets such that out of those four supermarkets, 3 are located on 3 consecutive floors. Mala does not shop from third floor. 8. Meera shops from the lowermost as well as from the topmost floor. The number of departments in which Meera shops is same as that of Tina but one less than that of Renu. Tina shops from Big Bazaar. 9. Both Ritu and Hina shop in Electronics departments of two different supermarkets such that the one from which Ritu shops for electronics is located immediately above the one from which Hina shops for electrnics. 10. For once, Shweta and Mala shop from the same supermarket. The highest floor which Shilpa and Ritu shop from is the Dollar StoreSolution
From 3, Renu – Store 99 – Electronics Renu – Big basket – Grocery From 7, Sugandha – Fresh n Easy; Mala – xFresh n Easy From 8, No. of departments in which Meera shops = No. of departments in which Tina shops No. of departments in which Renu shops = No. of departments in which Meera/Tina shop + 1 From 9, Ritu – Electronics Hina – Electronics Combinations of supermarkets from which Ritu and Hina bought Electronics can be Ritu – 2; Hina – 1 Ritu – 3; Hina – 2 Ritu – 4; Hina – 3 Ritu – 5; Hina – 4 Ritu – 6; Hina – 5 Ritu – 7; Hina – 6
From 3, 4, 5, 6, 7, 8 From 6 and 10 The highest floor which Shilpa and Ritu shop from is the Dollar Store. Shilpa shops only till fifth floor and not beyond it.
Twice Ritu shops from floor adjacent to the floor from which Shweta shops and, Shweta does not shop from electronics but Ritu does. We also know that Ritu shops from 5th floor along with Mala and Shilpa. Ritu can only shop till 5th floor. Thus Ritu does not shop from seventh floor. Also, Shweta shops from fifth floor (condition 3).
Mala shops from 4 departments from 4 different supermarkets such that out of those four supermarkets, 3 are located on 3 consecutive floors. Mala does not shop from third floor. And for once, Shweta and Mala shop from the same supermarkets. Thus, Mala definitely shops from 6th floor. Now Mala can either shop from 7th floor or from 4th floor.
Hina shops for Electronics from Fresh n Easy along with Shweta shopping in a different department. Also, Shweta shops from second floor. Thus, Hina shops electronics from 2nd floor which is Fresh n Easy. Also, both Ritu and Hina shop in Electronics departments of two different supermarkets such that the one from which Ritu shops for electronics is located immediately above the one from which Hina shops for Electronics. Sugandha but not Mala shops from Fresh n Easy.
Renu shops fashion from Fresh n Easy. Thus, Shweta shops Home décor from Fresh n Easy and Fashion from the dollar store. Sugandha and Mala each shop from four supermarkets and thrice from the common supermarkets. We know from the table that Mala but not Sugandha shops from floor 5. Thus, at rest all supermarkets from where Mala shops, Sugandha also shops.
Renu, Meera and Tina shop together on two floors, once with Hina and once with Ritu but not on first floor. The floor cannot be 1(given) 2(already filled) 4 (given that Shilpa shops from 4th floor) 5(Mala, Shilpa etc on 5th floor) 6(Shweta, Mala, Sugandha on 6th floor) The floor can be 3 and 7. Thus, Hina shops from fashion department from floor 7.
Sugandha and Mala each shop from four supermarkets and thrice from the common supermarkets. Sugandha and Mala shop together from three super markets and Sugandha and Mala shop without each other from one supermarket. Sugandha shops without Mala from Fresh n Easy Mala shops without Sugandha from The Dollar Store Thus, Now, from evey other super market from where Sugandha shops, Mala also shops and vice versa. Thus, Mala and Sugandha together shop from Big Bazaar (from table), Fourth floor (from table) and First floor (2,3,5,7 not possible). Neither Shweta nor Meera shop from electronics department (condition 3) Renu shops electronics from Store 99 and grocery from big basket and fashion from Fresh n Easy. Renu shops on third floor but never from The Dollar Store. Store 99 is situated above the Dollar store. Thus store 99 is on the 7th floor. Tina shops from Big Bazaar. The number of departments in which Meera shops is same as that of Tina but one less than that of Renu.
From the table, Renu and Tina shop from 3 stores, but Renu shops in one store more than Tina. Thus Renu shops from 4 stores. Thus, Renu can shop from More.
Also, Shilpa shops electronics form Easy day (given). Shilpa shops Home décor and fashion from consecutive floors.
Mala shops from Home Décor department from the highest floor she visits. We know that the highest floor that Mala visits is floor 6. Thus Mala shops Home décor from floor 6.
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