Self Studies

Logical Reasoni...

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  • Question 1
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    Directions For Questions

    Rinesh and Rinsha have 150 marbles on the table. Each of them takes turns to pick marbles. They can pick at least two and at most six marbles in each turn. It is known that both of them play intelligently.

    If after Rinesh's turn, there is only one marble left on the table, then Rinsha will pick that one marble. The same is true for Rinesh as well.

    ...view full instructions

    Rinesh picks the first marble and the person who picks the last marble is the winner. What is the number of marbles that  Rinesh should pick in his first turn to ensure his win?

  • Question 2
    3 / -1

    Directions For Questions

    Rinesh and Rinsha have 150 marbles on the table. Each of them takes turns to pick marbles. They can pick at least two and at most six marbles in each turn. It is known that both of them play intelligently.

    If after Rinesh's turn, there is only one marble left on the table, then Rinsha will pick that one marble. The same is true for Rinesh as well.

    ...view full instructions

    Rinsha picks the first marble and the person who picks the last marble is the loser. What is the minimum number of marbles that  Rinsha should pick in her first turn to ensure her win?

  • Question 3
    3 / -1

    Directions For Questions

    Rinesh and Rinsha have 150 marbles on the table. Each of them takes turns to pick marbles. They can pick at least two and at most six marbles in each turn. It is known that both of them play intelligently.

    If after Rinesh's turn, there is only one marble left on the table, then Rinsha will pick that one marble. The same is true for Rinesh as well.

    ...view full instructions

    150 marbles on the table are now divided into two groups, A and B where B has 2 coins more than A. For group A, the person who picks the last marble is a winner; for group B, the person who picks the last marble is a loser. If Rinesh picks the marbles first in both groups, what is the sum of the number of marbles Rinesh should pick from A and the minimum number of marbles Rinesh should pick from B to ensure a win in both groups?

  • Question 4
    3 / -1

    Directions For Questions

    Rinesh and Rinsha have 150 marbles on the table. Each of them takes turns to pick marbles. They can pick at least two and at most six marbles in each turn. It is known that both of them play intelligently.

    If after Rinesh's turn, there is only one marble left on the table, then Rinsha will pick that one marble. The same is true for Rinesh as well.

    ...view full instructions

    If the number of marbles left on the table after a person’s turn is less than the minimum number of marbles that a person can pick, then the game ends. Rinesh picks the first marble and the person who picks the last marble is the winner. What is the minimum number of marbles that  Rinesh should pick in his first turn to ensure his win?

  • Question 5
    3 / -1

    Directions For Questions

    Rinesh and Rinsha have 150 marbles on the table. Each of them takes turns to pick marbles. They can pick at least two and at most six marbles in each turn. It is known that both of them play intelligently.

    If after Rinesh's turn, there is only one marble left on the table, then Rinsha will pick that one marble. The same is true for Rinesh as well.

    ...view full instructions

    If the number of marbles left on the table after a person’s turn is less than the minimum number of marbles that a person can pick, then that person has to pick all the coins. Rinsha picks the first marble and the person who picks the last marble is the loser. What is the maximum number of marbles that  Rinsha should pick in her first turn to ensure her win?

  • Question 6
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    Directions For Questions

    Five friends Augusta, Boliv, Centy, Diaz and Elin are of different ages and work in different companies. Two of them are females and rest are males. Their annual salaries are one among 40 lakhs, 45 lakhs, 50 lakhs, 60 lakhs and 75 lakhs but not in that particular order. It is also known that:
    1. The friend with the least income is not the oldest. The friend with the highest annual income is older than one of the females and younger than the other.
    2. The absolute difference between the incomes of Augusta and Elin is 15 lakhs. Diaz does not have the highest income.
    3. The annual income as well as the age of one female friend is greater than the other. Elin is the youngest among males and Boliv is the older of the females.
    4. Centy is older than Boliv. The annual income of one among Augusta, Boliv and Centy is the average of the annual incomes of the other two.

    ...view full instructions

    What is the salary of the oldest male?

  • Question 7
    3 / -1

    Directions For Questions

    Five friends Augusta, Boliv, Centy, Diaz and Elin are of different ages and work in different companies. Two of them are females and rest are males. Their annual salaries are one among 40 lakhs, 45 lakhs, 50 lakhs, 60 lakhs and 75 lakhs but not in that particular order. It is also known that:
    1. The friend with the least income is not the oldest. The friend with the highest annual income is older than one of the females and younger than the other.
    2. The absolute difference between the incomes of Augusta and Elin is 15 lakhs. Diaz does not have the highest income.
    3. The annual income as well as the age of one female friend is greater than the other. Elin is the youngest among males and Boliv is the older of the females.
    4. Centy is older than Boliv. The annual income of one among Augusta, Boliv and Centy is the average of the annual incomes of the other two.

    ...view full instructions

    What is the sum of the annual incomes of both the females?

  • Question 8
    3 / -1

    Directions For Questions

    Five friends Augusta, Boliv, Centy, Diaz and Elin are of different ages and work in different companies. Two of them are females and rest are males. Their annual salaries are one among 40 lakhs, 45 lakhs, 50 lakhs, 60 lakhs and 75 lakhs but not in that particular order. It is also known that:
    1. The friend with the least income is not the oldest. The friend with the highest annual income is older than one of the females and younger than the other.
    2. The absolute difference between the incomes of Augusta and Elin is 15 lakhs. Diaz does not have the highest income.
    3. The annual income as well as the age of one female friend is greater than the other. Elin is the youngest among males and Boliv is the older of the females.
    4. Centy is older than Boliv. The annual income of one among Augusta, Boliv and Centy is the average of the annual incomes of the other two.

    ...view full instructions

    For how many friends the position would not change when in the first case all friends stand in the increasing order of their annual incomes and in the second case all of them stand in decreasing order of age?

  • Question 9
    3 / -1

    Directions For Questions

    Five friends Augusta, Boliv, Centy, Diaz and Elin are of different ages and work in different companies. Two of them are females and rest are males. Their annual salaries are one among 40 lakhs, 45 lakhs, 50 lakhs, 60 lakhs and 75 lakhs but not in that particular order. It is also known that:
    1. The friend with the least income is not the oldest. The friend with the highest annual income is older than one of the females and younger than the other.
    2. The absolute difference between the incomes of Augusta and Elin is 15 lakhs. Diaz does not have the highest income.
    3. The annual income as well as the age of one female friend is greater than the other. Elin is the youngest among males and Boliv is the older of the females.
    4. Centy is older than Boliv. The annual income of one among Augusta, Boliv and Centy is the average of the annual incomes of the other two.

    ...view full instructions

    What is the average annual income (in lakhs) of the youngest male and the youngest female?

  • Question 10
    3 / -1

    Directions For Questions

    Five friends Augusta, Boliv, Centy, Diaz and Elin are of different ages and work in different companies. Two of them are females and rest are males. Their annual salaries are one among 40 lakhs, 45 lakhs, 50 lakhs, 60 lakhs and 75 lakhs but not in that particular order. It is also known that:
    1. The friend with the least income is not the oldest. The friend with the highest annual income is older than one of the females and younger than the other.
    2. The absolute difference between the incomes of Augusta and Elin is 15 lakhs. Diaz does not have the highest income.
    3. The annual income as well as the age of one female friend is greater than the other. Elin is the youngest among males and Boliv is the older of the females.
    4. Centy is older than Boliv. The annual income of one among Augusta, Boliv and Centy is the average of the annual incomes of the other two.

    ...view full instructions

    Which of the following options is true based on the given information?

  • Question 11
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    Directions For Questions

    Five football teams Aces, Beasts, Cavaliers, Dashers and Enigmas are playing in a football tournament. Each team plays the other teams only once and it is known that no match ends in a tie. Each team is awarded one point for a win and zero points for a loss. It is also known that if two teams are tied for points, then the team that comes up first in the alphabetical order ranks higher up the points table (If the scores of Beasts and Cavaliers are tied, Beasts rank higher because they come up higher in the alphabetical order).

    In the questions that follow, Ranking Table refers to order in which the five teams are placed along with their individual points tally.

    ...view full instructions

    If it is known that Aces, Beasts, Cavaliers, Dashers and Enigmas are ranked in the points table in that order, find the number of ways in which the points can be distributed among these five teams.

  • Question 12
    3 / -1

    Directions For Questions

    Five football teams Aces, Beasts, Cavaliers, Dashers and Enigmas are playing in a football tournament. Each team plays the other teams only once and it is known that no match ends in a tie. Each team is awarded one point for a win and zero points for a loss. It is also known that if two teams are tied for points, then the team that comes up first in the alphabetical order ranks higher up the points table (If the scores of Beasts and Cavaliers are tied, Beasts rank higher because they come up higher in the alphabetical order).

    In the questions that follow, Ranking Table refers to order in which the five teams are placed along with their individual points tally.

    ...view full instructions

    If it is known that the team that is placed third had scored 3 points, find the total number of ways in the which the five teams can be arranged in the Ranking Table.

  • Question 13
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    Directions For Questions

    Five football teams Aces, Beasts, Cavaliers, Dashers and Enigmas are playing in a football tournament. Each team plays the other teams only once and it is known that no match ends in a tie. Each team is awarded one point for a win and zero points for a loss. It is also known that if two teams are tied for points, then the team that comes up first in the alphabetical order ranks higher up the points table (If the scores of Beasts and Cavaliers are tied, Beasts rank higher because they come up higher in the alphabetical order).

    In the questions that follow, Ranking Table refers to order in which the five teams are placed along with their individual points tally.

    ...view full instructions

    Find the number of different arrangements possible in which Enigmas can top the Ranking Table.

  • Question 14
    3 / -1

    Directions For Questions

    Five football teams Aces, Beasts, Cavaliers, Dashers and Enigmas are playing in a football tournament. Each team plays the other teams only once and it is known that no match ends in a tie. Each team is awarded one point for a win and zero points for a loss. It is also known that if two teams are tied for points, then the team that comes up first in the alphabetical order ranks higher up the points table (If the scores of Beasts and Cavaliers are tied, Beasts rank higher because they come up higher in the alphabetical order).

    In the questions that follow, Ranking Table refers to order in which the five teams are placed along with their individual points tally.

    ...view full instructions

    Find the number of arrangements possible in the Ranking Table in which at least 3 teams have equal number of points.

  • Question 15
    3 / -1

    Directions For Questions

    Five football teams Aces, Beasts, Cavaliers, Dashers and Enigmas are playing in a football tournament. Each team plays the other teams only once and it is known that no match ends in a tie. Each team is awarded one point for a win and zero points for a loss. It is also known that if two teams are tied for points, then the team that comes up first in the alphabetical order ranks higher up the points table (If the scores of Beasts and Cavaliers are tied, Beasts rank higher because they come up higher in the alphabetical order).

    In the questions that follow, Ranking Table refers to order in which the five teams are placed along with their individual points tally.

    ...view full instructions

    Find the number of arrangements possible in the Ranking Table in which each team has won atleast one game.

  • Question 16
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    Directions For Questions

    The games produced by a company are of two types. These can be either Arcade or Strategy.
    The Arcade game can either be racing or shooting or both. The same is true for Strategy games.
    The following conditions are also known.
    1. The ratio of Arcade to Strategy games is 4:3.
    2. The number of Arcade games which are both racing and shooting is equal to the number of Strategy games which are both racing and shooting which is equal to 20.
    3. The number of Arcade games which are only racing is equal to the number of Strategy games which are only shooting.
    4. The number of Arcade games which are only shooting is twice the number of Strategy games which are only racing.
    5. The total number of racing games produced by the company is 65.

    ...view full instructions

    What is the total number of Arcade games?

  • Question 17
    3 / -1

    Directions For Questions

    The games produced by a company are of two types. These can be either Arcade or Strategy.
    The Arcade game can either be racing or shooting or both. The same is true for Strategy games.
    The following conditions are also known.
    1. The ratio of Arcade to Strategy games is 4:3.
    2. The number of Arcade games which are both racing and shooting is equal to the number of Strategy games which are both racing and shooting which is equal to 20.
    3. The number of Arcade games which are only racing is equal to the number of Strategy games which are only shooting.
    4. The number of Arcade games which are only shooting is twice the number of Strategy games which are only racing.
    5. The total number of racing games produced by the company is 65.

    ...view full instructions

    In shooting games, find the ratio of Arcade and Strategy?

  • Question 18
    3 / -1

    Directions For Questions

    The games produced by a company are of two types. These can be either Arcade or Strategy.
    The Arcade game can either be racing or shooting or both. The same is true for Strategy games.
    The following conditions are also known.
    1. The ratio of Arcade to Strategy games is 4:3.
    2. The number of Arcade games which are both racing and shooting is equal to the number of Strategy games which are both racing and shooting which is equal to 20.
    3. The number of Arcade games which are only racing is equal to the number of Strategy games which are only shooting.
    4. The number of Arcade games which are only shooting is twice the number of Strategy games which are only racing.
    5. The total number of racing games produced by the company is 65.

    ...view full instructions

    Out of the total games produced, what percentage of the games are both racing and shooting?

  • Question 19
    3 / -1

    Directions For Questions

    The games produced by a company are of two types. These can be either Arcade or Strategy.
    The Arcade game can either be racing or shooting or both. The same is true for Strategy games.
    The following conditions are also known.
    1. The ratio of Arcade to Strategy games is 4:3.
    2. The number of Arcade games which are both racing and shooting is equal to the number of Strategy games which are both racing and shooting which is equal to 20.
    3. The number of Arcade games which are only racing is equal to the number of Strategy games which are only shooting.
    4. The number of Arcade games which are only shooting is twice the number of Strategy games which are only racing.
    5. The total number of racing games produced by the company is 65.

    ...view full instructions

    In Arcade games, what is the ratio of racing games to shooting games?

  • Question 20
    3 / -1

    Directions For Questions

    The games produced by a company are of two types. These can be either Arcade or Strategy.
    The Arcade game can either be racing or shooting or both. The same is true for Strategy games.
    The following conditions are also known.
    1. The ratio of Arcade to Strategy games is 4:3.
    2. The number of Arcade games which are both racing and shooting is equal to the number of Strategy games which are both racing and shooting which is equal to 20.
    3. The number of Arcade games which are only racing is equal to the number of Strategy games which are only shooting.
    4. The number of Arcade games which are only shooting is twice the number of Strategy games which are only racing.
    5. The total number of racing games produced by the company is 65.

    ...view full instructions

    If the selling price of racing only , shooting only & both (racing and shooting) are in a ratio of 11:9:13, then find the ratio of revenue earned through racing only, shooting only & both (racing and shooting) games.

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