Self Studies

Logical Reasoni...

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  • Question 1
    3 / -1

    Directions For Questions

    6 employees Abhishek, Bhuvan, Chetan, Dilip, Eshan and Faraz of XYZ Corp Ltd are sports enthusiasts who all go to a sports complex near their office after working hours. Each of them plays exactly one sport out of Cricket, Badminton, Tennis, Football, Swimming and Basketball. Each of them has been the member of the complex for a different amount of time. It is known that everyone joined the complex in consecutive months. They all arrive at the complex in their own cars. The complex offers a discount in membership fees for people who remain a member there for more than a quarter of a year. It is also known that :
    - Half of the people pay less than the others.
    - Chetan, who plays basketball does not drive Logan and does not pay as much as Bhuvan as membership fees for the complex.
    - The people playing football and badminton pay less than half of the employees and arrive at the complex in Logan and Swift respectively.
    - The one who plays tennis drives Amaze and has been a member of the complex for 3 months.
    - Bhuvan plays cricket and is the newest member of the complex when compared with others with only 1 month of membership.
    - Faraz, who plays football has been a member for half a year, the most amongst the given group of people and Dilip who comes in a Polo has been a member for a third of Faraz’s time.
    - Eshan does not come in a Swift

    ...view full instructions

    If the person coming in a Verna has been a member of the complex for more than 3 months, which sport does he play ?

  • Question 2
    3 / -1

    Directions For Questions

    6 employees Abhishek, Bhuvan, Chetan, Dilip, Eshan and Faraz of XYZ Corp Ltd are sports enthusiasts who all go to a sports complex near their office after working hours. Each of them plays exactly one sport out of Cricket, Badminton, Tennis, Football, Swimming and Basketball. Each of them has been the member of the complex for a different amount of time. It is known that everyone joined the complex in consecutive months. They all arrive at the complex in their own cars. The complex offers a discount in membership fees for people who remain a member there for more than a quarter of a year. It is also known that :
    - Half of the people pay less than the others.
    - Chetan, who plays basketball does not drive Logan and does not pay as much as Bhuvan as membership fees for the complex.
    - The people playing football and badminton pay less than half of the employees and arrive at the complex in Logan and Swift respectively.
    - The one who plays tennis drives Amaze and has been a member of the complex for 3 months.
    - Bhuvan plays cricket and is the newest member of the complex when compared with others with only 1 month of membership.
    - Faraz, who plays football has been a member for half a year, the most amongst the given group of people and Dilip who comes in a Polo has been a member for a third of Faraz’s time.
    - Eshan does not come in a Swift

    ...view full instructions

    For which of the following people, does their name and the name of the sport they play start with consecutive letters in the alphabet ?

  • Question 3
    3 / -1

    Directions For Questions

    6 employees Abhishek, Bhuvan, Chetan, Dilip, Eshan and Faraz of XYZ Corp Ltd are sports enthusiasts who all go to a sports complex near their office after working hours. Each of them plays exactly one sport out of Cricket, Badminton, Tennis, Football, Swimming and Basketball. Each of them has been the member of the complex for a different amount of time. It is known that everyone joined the complex in consecutive months. They all arrive at the complex in their own cars. The complex offers a discount in membership fees for people who remain a member there for more than a quarter of a year. It is also known that :
    - Half of the people pay less than the others.
    - Chetan, who plays basketball does not drive Logan and does not pay as much as Bhuvan as membership fees for the complex.
    - The people playing football and badminton pay less than half of the employees and arrive at the complex in Logan and Swift respectively.
    - The one who plays tennis drives Amaze and has been a member of the complex for 3 months.
    - Bhuvan plays cricket and is the newest member of the complex when compared with others with only 1 month of membership.
    - Faraz, who plays football has been a member for half a year, the most amongst the given group of people and Dilip who comes in a Polo has been a member for a third of Faraz’s time.
    - Eshan does not come in a Swift

    ...view full instructions

    The complex offers more discount to the members who remain a member for more than half a year. How many of the given people will be availing that discount after 2 months ?

  • Question 4
    3 / -1

    Directions For Questions

    6 employees Abhishek, Bhuvan, Chetan, Dilip, Eshan and Faraz of XYZ Corp Ltd are sports enthusiasts who all go to a sports complex near their office after working hours. Each of them plays exactly one sport out of Cricket, Badminton, Tennis, Football, Swimming and Basketball. Each of them has been the member of the complex for a different amount of time. It is known that everyone joined the complex in consecutive months. They all arrive at the complex in their own cars. The complex offers a discount in membership fees for people who remain a member there for more than a quarter of a year. It is also known that :
    - Half of the people pay less than the others.
    - Chetan, who plays basketball does not drive Logan and does not pay as much as Bhuvan as membership fees for the complex.
    - The people playing football and badminton pay less than half of the employees and arrive at the complex in Logan and Swift respectively.
    - The one who plays tennis drives Amaze and has been a member of the complex for 3 months.
    - Bhuvan plays cricket and is the newest member of the complex when compared with others with only 1 month of membership.
    - Faraz, who plays football has been a member for half a year, the most amongst the given group of people and Dilip who comes in a Polo has been a member for a third of Faraz’s time.
    - Eshan does not come in a Swift

    ...view full instructions

    Amongst the given options, which is a correct pairing of the car of the person and the sport that they play ?

  • Question 5
    3 / -1

    Directions For Questions

    6 employees Abhishek, Bhuvan, Chetan, Dilip, Eshan and Faraz of XYZ Corp Ltd are sports enthusiasts who all go to a sports complex near their office after working hours. Each of them plays exactly one sport out of Cricket, Badminton, Tennis, Football, Swimming and Basketball. Each of them has been the member of the complex for a different amount of time. It is known that everyone joined the complex in consecutive months. They all arrive at the complex in their own cars. The complex offers a discount in membership fees for people who remain a member there for more than a quarter of a year. It is also known that :
    - Half of the people pay less than the others.
    - Chetan, who plays basketball does not drive Logan and does not pay as much as Bhuvan as membership fees for the complex.
    - The people playing football and badminton pay less than half of the employees and arrive at the complex in Logan and Swift respectively.
    - The one who plays tennis drives Amaze and has been a member of the complex for 3 months.
    - Bhuvan plays cricket and is the newest member of the complex when compared with others with only 1 month of membership.
    - Faraz, who plays football has been a member for half a year, the most amongst the given group of people and Dilip who comes in a Polo has been a member for a third of Faraz’s time.
    - Eshan does not come in a Swift

    ...view full instructions

    If the sum of months of membership of Faraz and Dilip is equal to that of Chetan and Eshan, for how long was Chetan a member of the complex?

  • Question 6
    3 / -1

    Directions For Questions

    In the below table, the number of employees working in the Marketing, Finance and Administration departments of a company ABC Technologies is given in each age group. The numbers in the ordered pair are the lowest pay and the highest pay a person is getting in that age group in that department. For example, consider the cell that corresponds to Marketing department and the age of employees less than 25. There are 8 employees in Marketing department who are less than 25 years of age. Also, the lowest pay an employee is getting in this combination is 4 lakhs and the highest pay an employee is getting in this combination is 8 Lakhs. Answer the following questions based on the given information.

    ...view full instructions

    What is the maximum number of employees who are more than 39 years of age and have a pay of at least 19 Lakhs in any of the departments?

  • Question 7
    3 / -1

    Directions For Questions

    In the below table, the number of employees working in the Marketing, Finance and Administration departments of a company ABC Technologies is given in each age group. The numbers in the ordered pair are the lowest pay and the highest pay a person is getting in that age group in that department. For example, consider the cell that corresponds to Marketing department and the age of employees less than 25. There are 8 employees in Marketing department who are less than 25 years of age. Also, the lowest pay an employee is getting in this combination is 4 lakhs and the highest pay an employee is getting in this combination is 8 Lakhs. Answer the following questions based on the given information.

    ...view full instructions

    What is the minimum number of employees who earn more than 10 Lakhs but less than 18 Lakhs in any department and are of more than 31 years of age?

  • Question 8
    3 / -1

    Directions For Questions

    In the below table, the number of employees working in the Marketing, Finance and Administration departments of a company ABC Technologies is given in each age group. The numbers in the ordered pair are the lowest pay and the highest pay a person is getting in that age group in that department. For example, consider the cell that corresponds to Marketing department and the age of employees less than 25. There are 8 employees in Marketing department who are less than 25 years of age. Also, the lowest pay an employee is getting in this combination is 4 lakhs and the highest pay an employee is getting in this combination is 8 Lakhs. Answer the following questions based on the given information.

    ...view full instructions

    The average salary(in Lakhs) of Finance department is at least how much?

  • Question 9
    3 / -1

    Directions For Questions

    In the below table, the number of employees working in the Marketing, Finance and Administration departments of a company ABC Technologies is given in each age group. The numbers in the ordered pair are the lowest pay and the highest pay a person is getting in that age group in that department. For example, consider the cell that corresponds to Marketing department and the age of employees less than 25. There are 8 employees in Marketing department who are less than 25 years of age. Also, the lowest pay an employee is getting in this combination is 4 lakhs and the highest pay an employee is getting in this combination is 8 Lakhs. Answer the following questions based on the given information.

    ...view full instructions

    What is the maximum possible average salary(In Lakhs) of the employees who are more 45 years old and less than 55 years old?

  • Question 10
    3 / -1

    Directions For Questions

    In the below table, the number of employees working in the Marketing, Finance and Administration departments of a company ABC Technologies is given in each age group. The numbers in the ordered pair are the lowest pay and the highest pay a person is getting in that age group in that department. For example, consider the cell that corresponds to Marketing department and the age of employees less than 25. There are 8 employees in Marketing department who are less than 25 years of age. Also, the lowest pay an employee is getting in this combination is 4 lakhs and the highest pay an employee is getting in this combination is 8 Lakhs. Answer the following questions based on the given information.

    ...view full instructions

    What is the minimum average salary of employees over 47 years of age?

  • Question 11
    3 / -1

    Directions For Questions

    The first pie chart shows the population of each of the 6 countries, A, B, C, D, E  and F as the percentage of the total population of the 6 countries. The second pie chart shows the number of billionaires in each country as a percentage of the total number of billionaires in these 6 countries.


    Based on the information given, answer the following questions.

    ...view full instructions

    Which country has the highest billionaire to population ratio?

  • Question 12
    3 / -1

    Directions For Questions

    The first pie chart shows the population of each of the 6 countries, A, B, C, D, E  and F as the percentage of the total population of the 6 countries. The second pie chart shows the number of billionaires in each country as a percentage of the total number of billionaires in these 6 countries.


    Based on the information given, answer the following questions.

    ...view full instructions

    If the total billionaire to population percentage is 0.3%, then for the 3 most populated countries, find the ratio of the total number of billionaires to their total population.

  • Question 13
    3 / -1

    Directions For Questions

    The first pie chart shows the population of each of the 6 countries, A, B, C, D, E  and F as the percentage of the total population of the 6 countries. The second pie chart shows the number of billionaires in each country as a percentage of the total number of billionaires in these 6 countries.


    Based on the information given, answer the following questions.

    ...view full instructions

    The highest billionaire to population ratio for any country is H and the lowest billionaire to population ratio for any country is L. What percentage of L is H?

  • Question 14
    3 / -1

    Directions For Questions

    The first pie chart shows the population of each of the 6 countries, A, B, C, D, E  and F as the percentage of the total population of the 6 countries. The second pie chart shows the number of billionaires in each country as a percentage of the total number of billionaires in these 6 countries.


    Based on the information given, answer the following questions.

    ...view full instructions

    If the billionaire to population percentage for the most populated country is 0.15%, find the billionaire to population ratio for the country with the highest number of billionaires.

  • Question 15
    3 / -1

    Directions For Questions

    The first pie chart shows the population of each of the 6 countries, A, B, C, D, E  and F as the percentage of the total population of the 6 countries. The second pie chart shows the number of billionaires in each country as a percentage of the total number of billionaires in these 6 countries.


    Based on the information given, answer the following questions.

    ...view full instructions

    If the billionaires of the most populous country increased by 150 % and the billionaires of the least populous country decreased by 50%, what would be the ratio of BPRs (billionaire to population ratio) of the most populous country to the least populous country?

  • Question 16
    3 / -1

    Directions For Questions

    Geralt was roaming through the woods when he saw an unusual hut. When he entered the hut, he saw a 5x5 grid in front of him on the ground as shown:

    Suddenly the door behind him shut and a voice resonated from above: 'The grid in front of you has 25 identical white tiles. Below each tile is either a precious diamond or nothing. If you remove a tile, and find a diamond under it, you can keep the diamond and you will be given another chance to choose another tile. This would continue till you pick a tile that has nothing under it, or you quit. If you quit of your own will, you will be allowed to take the diamonds you have collected till then. But if you choose a tile that has nothing under it, all the diamonds you have collected till now will be gone, the game will be over.'

    While the tiles were identical in all aspects, the voice provided 10 identical potions, which when used provide clues as to what lies underneath. To demonstrate the power of these potions, the mysterious voice chanted some incantations, and three potions flew and fell on 3 of the tiles. The tiles (1,3) (4,1) and (4,3) changed to Orange, Green and Blue respectively. Additionally, the tile (4,1) was embossed with a diamond symbol. The following 5 rules must be followed to use the potions:

    1. Each potion needs to be poured completely over a tile. Then it would change the colour of the tile from white to one of the following colours:

    a) Red: Of all the tiles touching the selected tile, only 1 of them has a diamond underneath.

    b) Blue: Of all the tiles touching the selected tile, only 2 of them have a diamond underneath.

    c) Yellow: Of all the tiles touching the selected tile, only 3 of them have a diamond underneath.

    d) Green: Of all the tiles touching the selected tile, only 4 of them have a diamond underneath.

    e) Orange: Of all the tiles touching the selected tile, only 5 of them have a diamond underneath.

    (Touching a tile means a tile that touches its sides or corners. For example, (2,2) has 8 tiles touching it.)

    2. The embossed diamond indicates that the tile contains a diamond beneath it and no embossing indicates the absence of diamond. However, if a potion is poured over a tile, that tile can no longer be selected by Geralt to be removed.

    3. The potions can only be used on a tile where the result is NOT already known - i.e. whether the tile will be embossed or what the colour will be on pouring the potion. If Geralt uses the potion on a tile where he knows either the resulting colour or if it contains a diamond or not, then the game ends and Geralt loses all his diamonds.

    4. When the potion is poured, the tile necessarily changes to one of the five mentioned colours.

    The tiles are numbered as (i,j), where i is the row number and j is the column number. The leftmost, topmost tile is numbered (1,1). The row number increases downwards and the column number increases towards the right.

    ...view full instructions

    What is the minimum number of diamonds?

  • Question 17
    3 / -1

    Directions For Questions

    Geralt was roaming through the woods when he saw an unusual hut. When he entered the hut, he saw a 5x5 grid in front of him on the ground as shown:

    Suddenly the door behind him shut and a voice resonated from above: 'The grid in front of you has 25 identical white tiles. Below each tile is either a precious diamond or nothing. If you remove a tile, and find a diamond under it, you can keep the diamond and you will be given another chance to choose another tile. This would continue till you pick a tile that has nothing under it, or you quit. If you quit of your own will, you will be allowed to take the diamonds you have collected till then. But if you choose a tile that has nothing under it, all the diamonds you have collected till now will be gone, the game will be over.'

    While the tiles were identical in all aspects, the voice provided 10 identical potions, which when used provide clues as to what lies underneath. To demonstrate the power of these potions, the mysterious voice chanted some incantations, and three potions flew and fell on 3 of the tiles. The tiles (1,3) (4,1) and (4,3) changed to Orange, Green and Blue respectively. Additionally, the tile (4,1) was embossed with a diamond symbol. The following 5 rules must be followed to use the potions:

    1. Each potion needs to be poured completely over a tile. Then it would change the colour of the tile from white to one of the following colours:

    a) Red: Of all the tiles touching the selected tile, only 1 of them has a diamond underneath.

    b) Blue: Of all the tiles touching the selected tile, only 2 of them have a diamond underneath.

    c) Yellow: Of all the tiles touching the selected tile, only 3 of them have a diamond underneath.

    d) Green: Of all the tiles touching the selected tile, only 4 of them have a diamond underneath.

    e) Orange: Of all the tiles touching the selected tile, only 5 of them have a diamond underneath.

    (Touching a tile means a tile that touches its sides or corners. For example, (2,2) has 8 tiles touching it.)

    2. The embossed diamond indicates that the tile contains a diamond beneath it and no embossing indicates the absence of diamond. However, if a potion is poured over a tile, that tile can no longer be selected by Geralt to be removed.

    3. The potions can only be used on a tile where the result is NOT already known - i.e. whether the tile will be embossed or what the colour will be on pouring the potion. If Geralt uses the potion on a tile where he knows either the resulting colour or if it contains a diamond or not, then the game ends and Geralt loses all his diamonds.

    4. When the potion is poured, the tile necessarily changes to one of the five mentioned colours.

    The tiles are numbered as (i,j), where i is the row number and j is the column number. The leftmost, topmost tile is numbered (1,1). The row number increases downwards and the column number increases towards the right.

    ...view full instructions

    What is the maximum number of diamonds Geralt can leave with?

  • Question 18
    3 / -1

    Directions For Questions

    Geralt was roaming through the woods when he saw an unusual hut. When he entered the hut, he saw a 5x5 grid in front of him on the ground as shown:

    Suddenly the door behind him shut and a voice resonated from above: 'The grid in front of you has 25 identical white tiles. Below each tile is either a precious diamond or nothing. If you remove a tile, and find a diamond under it, you can keep the diamond and you will be given another chance to choose another tile. This would continue till you pick a tile that has nothing under it, or you quit. If you quit of your own will, you will be allowed to take the diamonds you have collected till then. But if you choose a tile that has nothing under it, all the diamonds you have collected till now will be gone, the game will be over.'

    While the tiles were identical in all aspects, the voice provided 10 identical potions, which when used provide clues as to what lies underneath. To demonstrate the power of these potions, the mysterious voice chanted some incantations, and three potions flew and fell on 3 of the tiles. The tiles (1,3) (4,1) and (4,3) changed to Orange, Green and Blue respectively. Additionally, the tile (4,1) was embossed with a diamond symbol. The following 5 rules must be followed to use the potions:

    1. Each potion needs to be poured completely over a tile. Then it would change the colour of the tile from white to one of the following colours:

    a) Red: Of all the tiles touching the selected tile, only 1 of them has a diamond underneath.

    b) Blue: Of all the tiles touching the selected tile, only 2 of them have a diamond underneath.

    c) Yellow: Of all the tiles touching the selected tile, only 3 of them have a diamond underneath.

    d) Green: Of all the tiles touching the selected tile, only 4 of them have a diamond underneath.

    e) Orange: Of all the tiles touching the selected tile, only 5 of them have a diamond underneath.

    (Touching a tile means a tile that touches its sides or corners. For example, (2,2) has 8 tiles touching it.)

    2. The embossed diamond indicates that the tile contains a diamond beneath it and no embossing indicates the absence of diamond. However, if a potion is poured over a tile, that tile can no longer be selected by Geralt to be removed.

    3. The potions can only be used on a tile where the result is NOT already known - i.e. whether the tile will be embossed or what the colour will be on pouring the potion. If Geralt uses the potion on a tile where he knows either the resulting colour or if it contains a diamond or not, then the game ends and Geralt loses all his diamonds.

    4. When the potion is poured, the tile necessarily changes to one of the five mentioned colours.

    The tiles are numbered as (i,j), where i is the row number and j is the column number. The leftmost, topmost tile is numbered (1,1). The row number increases downwards and the column number increases towards the right.

    ...view full instructions

    Geralt leaves with 8 diamonds. The number of potions that he could have used lie in the range [a,b]. What is the value of a+b?

  • Question 19
    3 / -1

    Directions For Questions

    Geralt was roaming through the woods when he saw an unusual hut. When he entered the hut, he saw a 5x5 grid in front of him on the ground as shown:

    Suddenly the door behind him shut and a voice resonated from above: 'The grid in front of you has 25 identical white tiles. Below each tile is either a precious diamond or nothing. If you remove a tile, and find a diamond under it, you can keep the diamond and you will be given another chance to choose another tile. This would continue till you pick a tile that has nothing under it, or you quit. If you quit of your own will, you will be allowed to take the diamonds you have collected till then. But if you choose a tile that has nothing under it, all the diamonds you have collected till now will be gone, the game will be over.'

    While the tiles were identical in all aspects, the voice provided 10 identical potions, which when used provide clues as to what lies underneath. To demonstrate the power of these potions, the mysterious voice chanted some incantations, and three potions flew and fell on 3 of the tiles. The tiles (1,3) (4,1) and (4,3) changed to Orange, Green and Blue respectively. Additionally, the tile (4,1) was embossed with a diamond symbol. The following 5 rules must be followed to use the potions:

    1. Each potion needs to be poured completely over a tile. Then it would change the colour of the tile from white to one of the following colours:

    a) Red: Of all the tiles touching the selected tile, only 1 of them has a diamond underneath.

    b) Blue: Of all the tiles touching the selected tile, only 2 of them have a diamond underneath.

    c) Yellow: Of all the tiles touching the selected tile, only 3 of them have a diamond underneath.

    d) Green: Of all the tiles touching the selected tile, only 4 of them have a diamond underneath.

    e) Orange: Of all the tiles touching the selected tile, only 5 of them have a diamond underneath.

    (Touching a tile means a tile that touches its sides or corners. For example, (2,2) has 8 tiles touching it.)

    2. The embossed diamond indicates that the tile contains a diamond beneath it and no embossing indicates the absence of diamond. However, if a potion is poured over a tile, that tile can no longer be selected by Geralt to be removed.

    3. The potions can only be used on a tile where the result is NOT already known - i.e. whether the tile will be embossed or what the colour will be on pouring the potion. If Geralt uses the potion on a tile where he knows either the resulting colour or if it contains a diamond or not, then the game ends and Geralt loses all his diamonds.

    4. When the potion is poured, the tile necessarily changes to one of the five mentioned colours.

    The tiles are numbered as (i,j), where i is the row number and j is the column number. The leftmost, topmost tile is numbered (1,1). The row number increases downwards and the column number increases towards the right.

    ...view full instructions

    If Geralt leaves with 10 diamonds, what is the maximum number of tiles that turned red after a potion was poured on them?

  • Question 20
    3 / -1

    Directions For Questions

    Geralt was roaming through the woods when he saw an unusual hut. When he entered the hut, he saw a 5x5 grid in front of him on the ground as shown:

    Suddenly the door behind him shut and a voice resonated from above: 'The grid in front of you has 25 identical white tiles. Below each tile is either a precious diamond or nothing. If you remove a tile, and find a diamond under it, you can keep the diamond and you will be given another chance to choose another tile. This would continue till you pick a tile that has nothing under it, or you quit. If you quit of your own will, you will be allowed to take the diamonds you have collected till then. But if you choose a tile that has nothing under it, all the diamonds you have collected till now will be gone, the game will be over.'

    While the tiles were identical in all aspects, the voice provided 10 identical potions, which when used provide clues as to what lies underneath. To demonstrate the power of these potions, the mysterious voice chanted some incantations, and three potions flew and fell on 3 of the tiles. The tiles (1,3) (4,1) and (4,3) changed to Orange, Green and Blue respectively. Additionally, the tile (4,1) was embossed with a diamond symbol. The following 5 rules must be followed to use the potions:

    1. Each potion needs to be poured completely over a tile. Then it would change the colour of the tile from white to one of the following colours:

    a) Red: Of all the tiles touching the selected tile, only 1 of them has a diamond underneath.

    b) Blue: Of all the tiles touching the selected tile, only 2 of them have a diamond underneath.

    c) Yellow: Of all the tiles touching the selected tile, only 3 of them have a diamond underneath.

    d) Green: Of all the tiles touching the selected tile, only 4 of them have a diamond underneath.

    e) Orange: Of all the tiles touching the selected tile, only 5 of them have a diamond underneath.

    (Touching a tile means a tile that touches its sides or corners. For example, (2,2) has 8 tiles touching it.)

    2. The embossed diamond indicates that the tile contains a diamond beneath it and no embossing indicates the absence of diamond. However, if a potion is poured over a tile, that tile can no longer be selected by Geralt to be removed.

    3. The potions can only be used on a tile where the result is NOT already known - i.e. whether the tile will be embossed or what the colour will be on pouring the potion. If Geralt uses the potion on a tile where he knows either the resulting colour or if it contains a diamond or not, then the game ends and Geralt loses all his diamonds.

    4. When the potion is poured, the tile necessarily changes to one of the five mentioned colours.

    The tiles are numbered as (i,j), where i is the row number and j is the column number. The leftmost, topmost tile is numbered (1,1). The row number increases downwards and the column number increases towards the right.

    ...view full instructions

    What is the maximum possible number of potions that are used, including the ones used by the voice?

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