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Previous Year Questions

    01.

    How many countries in Europe were visited by exactly one of Dheeraj, Samantha and Nitesh?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    Number of countries in EU visited by exactly 1 person is 12.

    02.

    How many countries in the ROW were visited by both Nitesh and Samantha?

    Answer : 4

    Video Explanation

    Explanatory Answer

    Number of countries in ROW visited by both Nitesh and Samantha is 3+1=4

    03.

    How many countries in Europe were visited only by Nitesh?

    Answer : 2

    Video Explanation

    Explanatory Answer

    a2.png

    a3.png

    a4.png

     

    04.

    How many countries in Asia were visited by at least one of Dheeraj, Samantha and Nitesh?

    Answer : 3

    Video Explanation

    Explanatory Answer

    a2.png

    a3.png

    a4.png

    05.

    The chart below provides complete information about the number of countries visited by Dheeraj, Samantha
    and Nitesh, in Asia, Europe and the rest of the world (ROW).
    The following additional facts are known about the countries visited by them.
    1. 32 countries were visited by at least one of them.
    2. USA (in ROW) is the only country that was visited by all three of them.
    3. China (in Asia) is the only country that was visited by both Dheeraj and Nitesh, but not by Samantha.
    4. France (in Europe) is the only country outside Asia, which was visited by both Dheeraj and Samantha, but not
    by Nitesh.
    5. Half of the countries visited by both Samantha and Nitesh are in Europe.

    a1.png

    01.

    How many countries in Asia were visited by at least one of Dheeraj, Samantha and Nitesh?

    Answer : 3

    Video Explanation

    Explanatory Answer

    a2.png

    a3.png

    a4.png

    02.

    How many countries in Europe were visited only by Nitesh?

    Answer : 2

    Video Explanation

    Explanatory Answer

    a2.png

    a3.png

    a4.png

     

    03.

    How many countries in the ROW were visited by both Nitesh and Samantha?

    Answer : 4

    Video Explanation

    Explanatory Answer

    Number of countries in ROW visited by both Nitesh and Samantha is 3+1=4

    04.

    How many countries in Europe were visited by exactly one of Dheeraj, Samantha and Nitesh?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    Number of countries in EU visited by exactly 1 person is 12.

    06.

    What is the maximum possible voting margin with which one of the candidates can win?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    We are looking for the minimum possible number of votes that Ramya can get and maximise the number of
    votes that Amiya can get.
    We can borrow the scenario from the previous question where Ramya runs an attacking campaign, and we
    minimised the number of votes she can get.
    To minimise the number of votes, we can have Ramya run a staid campaign to minimise the votes, so minimum
    intensity, which will get her 20% of the votes if she ran with issues. Now that she is running with attacking, she
    will loose 20% of the votes to Amiya and 5% of the votes will not vote anymore.
    That is a total 25% loss. Remaining votes she will get is 75% of the 20% which will leave her with 15% of the
    votes.
    And to maximise the number of votes Amiya can get, we will have her run an vigorous issues campaign, which
    will give her 2x20% of the votes, that is 40% of the votes. And since Ramya has been running an attacking
    campaign, 20% of her votes are transferred to Amiya. 20% of the 20% of the votes which is 4% that were going
    to Ramya will now go to Amiya. That will bring up Amiya's tally up to 44% leaving Ramya's tally at 15%.
    The difference in the votes will be 44-15=29%.
    This is the maximum possible vote difference between the two candidates that is possible.

    07.

    If Ramya runs a campaign attacking Amiya, then what is the minimum percentage of votes that she is
    guaranteed to get?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    We are looking for the minimum possible number of votes that Ramya can get when she runs an attacking
    campaign.
    To minimise the number of votes, we can have Ramya run a staid campaign to minimise the votes, so minimum
    intensity, which will get her 20% of the votes if she ran with issues. Now that she is running with attacking, she
    will loose 20% of the votes to Amiya and 5% of the votes will not vote anymore.
    That is a total 25% loss. Remaining votes she will get is 75% of the 20% which will leave her with 15% of the
    votes.

    08.

    If Amiya runs a campaign focusing on issues, then what is the maximum percentage of votes that she can
    get?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    Amiya runs a campaign on issues, and we need to find the maximum vote share that she can get.
    We are trying to maximise the number of voters for Amiya, that means Amiya needs to run a vigorous
    campaign.
    Since, we are trying to increase the vote share for Amiya, we want as many voters as possible transferred from
    Ramya's share to Amiya's votes.
    As the number of votes a candidate receives is proportional to the intensity level of the campaign, we want
    Ramya also to run a vigorous AND attacking campaign, so that her votes are transferred to Amiya.
    In this scenario we have 20x(2+2)% of the people voting, 80% of the people. Of that, if both had ran issues
    campaign, they would have each received 40% of the votes.
    Now, we want Ramya to run an attacking campaign, where 20% of the people that would have voted for her vote
    for Amiya.
    So 20% of 40% of the votes are transferred to Amiya. That is 8% of the votes. And we are also told that, 5% that
    would have voted for her dont vote, so 5% of 40% dont vote, that is 2% of the voters.
    Final Tally is Amiya gets 48% of the votes, and Ramya gets 30% of the votes

    09.

    What is the minimum percentage of students who will vote in the election?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    We want the minimum vote share, that means both the candidates run staid campaigns.
    And, both the campaigns should be attacking, since we see that if one candidate runs an attacking campaign
    whereas the other candidate runs an issues campaign, a fair number of voters get transferred to the other
    candidate's vote share.
    This points to us to a scenario where both the campaigns are staid and attacking, which is nothing but the
    scenario described in the previous question.
    If both Ramya and Amiya run staid campaigns, the intensity of each staid campaign is 1
    So total number of voters that would vote for them if they focused on issues will be 20x(1+1)%=40%
    This means if they had both ran regarding issues, then they would get 20% of votes each.
    We are told that both of them run attacking campaigns,
    And the rule for mutual attacking campaign is 10% of voters who would have voted for each candidate will not
    vote.
    That means 10% of 20% of each candidate will not vote, now that it is a mutually attacking campaign.
    That means, each candidate receives 18% of the votes.
    Total votes received is 36%, which is the minimum possible

    10.

     If both of them run staid campaigns attacking the other, then what percentage of students will vote in the
    election?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    If both Ramya and Amiya run staid campaigns, the intensity of each staid campaign is 1
    So total number of voters that would vote for them if they focused on issues will be 20x(1+1)%=40%
    This means if they had both ran regarding issues, then they would get 20% of votes each.
    We are told that both of them run attacking campaigns,
    And the rule for mutual attacking campaign is 10% of voters who would have voted for each candidate will not
    vote.
    That means 10% of 20% of each candidate will not vote, now that it is a mutually attacking campaign.
    That means, each candidate receives 18% of the votes.
    Total votes received is 36%.

    11.

    Two students, Amiya and Ramya are the only candidates in an election for the position of class representative.
    Students will vote based on the intensity level of Amiya’s and Ramya’s campaigns and the type of campaigns
    they run. Each campaign is said to have a level of 1 if it is a staid campaign and a level of 2 if it is a vigorous
    campaign. Campaigns can be of two types, they can either focus on issues, or on attacking the other candidate.
    If Amiya and Ramya both run campaigns focusing on issues, then
    • The percentage of students voting in the election will be 20 times the sum of the levels of campaigning of the
    two students. For example, if Amiya and Ramya both run vigorous campaigns, then 20 × (2+2)%, that is, 80% of
    the students will vote in the election.
    • Among voting students, the percentage of votes for each candidate will be proportional to the levels of their
    campaigns. For example, if Amiya runs a staid (i.e., level 1) campaign while Ramya runs a vigorous (i.e., level 2)
    campaign, then Amiya will receive 1/3 of the votes cast, and Ramya will receive the other 2/3. The abovementioned percentages change as follows if at least one of them runs a campaign attacking their opponent.
    • If Amiya runs a campaign attacking Ramya and Ramya runs a campaign focusing on issues, then 10% of the
    students who would have otherwise voted for Amiya will vote for Ramya, and another 10% who would have
    otherwise voted for Amiya, will not vote at all.
    • If Ramya runs a campaign attacking Amiya and Amiya runs a campaign focusing on issues, then 20% of the
    students who would have otherwise voted for Ramya will vote for Amiya, and another 5% who would have
    otherwise voted for Ramya, will not vote at all.
    • If both run campaigns attacking each other, then 10% of the students who would have otherwise voted for
    them had they run campaigns focusing on issues, will not vote at all

    01.

     If both of them run staid campaigns attacking the other, then what percentage of students will vote in the
    election?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    If both Ramya and Amiya run staid campaigns, the intensity of each staid campaign is 1
    So total number of voters that would vote for them if they focused on issues will be 20x(1+1)%=40%
    This means if they had both ran regarding issues, then they would get 20% of votes each.
    We are told that both of them run attacking campaigns,
    And the rule for mutual attacking campaign is 10% of voters who would have voted for each candidate will not
    vote.
    That means 10% of 20% of each candidate will not vote, now that it is a mutually attacking campaign.
    That means, each candidate receives 18% of the votes.
    Total votes received is 36%.

    02.

    What is the minimum percentage of students who will vote in the election?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    We want the minimum vote share, that means both the candidates run staid campaigns.
    And, both the campaigns should be attacking, since we see that if one candidate runs an attacking campaign
    whereas the other candidate runs an issues campaign, a fair number of voters get transferred to the other
    candidate's vote share.
    This points to us to a scenario where both the campaigns are staid and attacking, which is nothing but the
    scenario described in the previous question.
    If both Ramya and Amiya run staid campaigns, the intensity of each staid campaign is 1
    So total number of voters that would vote for them if they focused on issues will be 20x(1+1)%=40%
    This means if they had both ran regarding issues, then they would get 20% of votes each.
    We are told that both of them run attacking campaigns,
    And the rule for mutual attacking campaign is 10% of voters who would have voted for each candidate will not
    vote.
    That means 10% of 20% of each candidate will not vote, now that it is a mutually attacking campaign.
    That means, each candidate receives 18% of the votes.
    Total votes received is 36%, which is the minimum possible

    03.

    If Amiya runs a campaign focusing on issues, then what is the maximum percentage of votes that she can
    get?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    Amiya runs a campaign on issues, and we need to find the maximum vote share that she can get.
    We are trying to maximise the number of voters for Amiya, that means Amiya needs to run a vigorous
    campaign.
    Since, we are trying to increase the vote share for Amiya, we want as many voters as possible transferred from
    Ramya's share to Amiya's votes.
    As the number of votes a candidate receives is proportional to the intensity level of the campaign, we want
    Ramya also to run a vigorous AND attacking campaign, so that her votes are transferred to Amiya.
    In this scenario we have 20x(2+2)% of the people voting, 80% of the people. Of that, if both had ran issues
    campaign, they would have each received 40% of the votes.
    Now, we want Ramya to run an attacking campaign, where 20% of the people that would have voted for her vote
    for Amiya.
    So 20% of 40% of the votes are transferred to Amiya. That is 8% of the votes. And we are also told that, 5% that
    would have voted for her dont vote, so 5% of 40% dont vote, that is 2% of the voters.
    Final Tally is Amiya gets 48% of the votes, and Ramya gets 30% of the votes

    04.

    If Ramya runs a campaign attacking Amiya, then what is the minimum percentage of votes that she is
    guaranteed to get?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    We are looking for the minimum possible number of votes that Ramya can get when she runs an attacking
    campaign.
    To minimise the number of votes, we can have Ramya run a staid campaign to minimise the votes, so minimum
    intensity, which will get her 20% of the votes if she ran with issues. Now that she is running with attacking, she
    will loose 20% of the votes to Amiya and 5% of the votes will not vote anymore.
    That is a total 25% loss. Remaining votes she will get is 75% of the 20% which will leave her with 15% of the
    votes.

    05.

    What is the maximum possible voting margin with which one of the candidates can win?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    We are looking for the minimum possible number of votes that Ramya can get and maximise the number of
    votes that Amiya can get.
    We can borrow the scenario from the previous question where Ramya runs an attacking campaign, and we
    minimised the number of votes she can get.
    To minimise the number of votes, we can have Ramya run a staid campaign to minimise the votes, so minimum
    intensity, which will get her 20% of the votes if she ran with issues. Now that she is running with attacking, she
    will loose 20% of the votes to Amiya and 5% of the votes will not vote anymore.
    That is a total 25% loss. Remaining votes she will get is 75% of the 20% which will leave her with 15% of the
    votes.
    And to maximise the number of votes Amiya can get, we will have her run an vigorous issues campaign, which
    will give her 2x20% of the votes, that is 40% of the votes. And since Ramya has been running an attacking
    campaign, 20% of her votes are transferred to Amiya. 20% of the 20% of the votes which is 4% that were going
    to Ramya will now go to Amiya. That will bring up Amiya's tally up to 44% leaving Ramya's tally at 15%.
    The difference in the votes will be 44-15=29%.
    This is the maximum possible vote difference between the two candidates that is possible.

    12.

    What is the number of the team that played Team 6 in Round 3?

    Answer : 5

    Video Explanation

    Explanatory Answer

    Team that played Team 6 in Round 3 was Team 5.

    13.

    What is the number of the team that played Team 1 in Round 7?

    Answer : 3

    Video Explanation

    Explanatory Answer

    The team that played Team 1 in Round 7 is 3.

    14.

    Which team among the teams numbered 2, 3, 4, and 5 was not part of the same group?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    2, 3 and 4 were part of the same group. 5 is the answer.

    15.

    What is the number of the team that played Team 1 in Round 5?

    Answer : 4

    Video Explanation

    Explanatory Answer

    We are told that there are six teams, that are divided into two groups.
    Teams in the same group will play each other only once, and teams in different group will play each other twice.
    Calculating the combinations, there is going to be games among teams in the same group among them,
    and since there is two groups, total such games will be 6.
    Now, teams in different group play each other twice. Calculating the combinations for this,
    From the first group, a team can be chosen in three ways, and from the second group, a team can be chosen in
    three ways. Total ways two teams from different groups can play each other is 3x3 which is 9. And since they
    play each other twice, that is 9+9 games of this combination.
    Total number of games is 18+6=24
    It is given that each team plays one game in each round, that means there is going to be 3 matchups in each
    round. And given, there is 24 games to played in this format, the number of rounds will be 24/3=8
    The tournament will have 8 rounds.
    Now that we know there are going to be 8 rounds in the tournament, let us identify the teams in a particular
    group, that will help us build the matchups.
    We are told that Round 8 teams from different groups play each other, and Teams 1 and 5 play only once. This
    means, 1 and 5 have to be on the same group. It is also told that 4 and 6 play each other twice, that means 4
    and 6 have to be in different groups. Looking at the matches from Round 8 that is given to us, 3 played 6 and 2
    played 5. We already know 1 and 5 are in the same group, so 2 must be in the other group. Among 3 and 6, if we
    were to place 3 in the group with 1 and 5, 4 and 6 would have to be in the same group, which is not possible,
    hence 6 is with 1 and 5, giving us the final combination of groups.
    Now, using the given information to build the matchups for the 8 rounds.

    Rounds marked with the same colour represent the fact that the matchups are identical. Now we know that
    each team plays a game in each round, we know 2 out of the 3 matches for Round 2 and 8, and we can identify
    the third matchups as well. Giving us this resulting table.
    We are told that Round 4 and 7 are identical, that means they are the matchups between teams from two
    different groups,
    We look at the matchups that are remaining among the 6 teams where both the games are left to play.
    Right away we identify that 6 is yet to play 2 twice and 5 once. We are looking for teams playing twice, so both
    Round 4 and 7 has a matchups between 2 and 6. This means 6 will play 5 in Round 3 and using that we can
    identify the third matchup in Round 3 as well.
    Now, we can identify that 1 is yet to play 3 both the times, 2 once. And we are looking for teams playing each
    other twice.

    16.

     How many rounds were there in the tournament?

    Answer : 8

    Video Explanation

    Explanatory Answer

    We are told that there are six teams, that are divided into two groups.
    Teams in the same group will play each other only once, and teams in different group will play each other twice.
    Calculating the combinations, there is going to be games among teams in the same group among them,
    and since there is two groups, total such games will be 6.
    Now, teams in different group play each other twice. Calculating the combinations for this,
    From the first group, a team can be chosen in three ways, and from the second group, a team can be chosen in
    three ways. Total ways two teams from different groups can play each other is 3x3 which is 9. And since they
    play each other twice, that is 9+9 games of this combination.
    Total number of games is 18+6=24
    It is given that each team plays one game in each round, that means there is going to be 3 matchups in each
    round. And given, there is 24 games to played in this format, the number of rounds will be 24/3=8
    The tournament will have 8 rounds.
    Now that we know there are going to be 8 rounds in the tournament, let us identify the teams in a particular
    group, that will help us build the matchups.
    We are told that Round 8 teams from different groups play each other, and Teams 1 and 5 play only once. This
    means, 1 and 5 have to be on the same group. It is also told that 4 and 6 play each other twice, that means 4
    and 6 have to be in different groups. Looking at the matches from Round 8 that is given to us, 3 played 6 and 2
    played 5. We already know 1 and 5 are in the same group, so 2 must be in the other group. Among 3 and 6, if we
    were to place 3 in the group with 1 and 5, 4 and 6 would have to be in the same group, which is not possible,
    hence 6 is with 1 and 5, giving us the final combination of groups.
    Now, using the given information to build the matchups for the 8 rounds.

    Rounds marked with the same colour represent the fact that the matchups are identical. Now we know that
    each team plays a game in each round, we know 2 out of the 3 matches for Round 2 and 8, and we can identify
    the third matchups as well. Giving us this resulting table.
    We are told that Round 4 and 7 are identical, that means they are the matchups between teams from two
    different groups,
    We look at the matchups that are remaining among the 6 teams where both the games are left to play.
    Right away we identify that 6 is yet to play 2 twice and 5 once. We are looking for teams playing twice, so both
    Round 4 and 7 has a matchups between 2 and 6. This means 6 will play 5 in Round 3 and using that we can
    identify the third matchup in Round 3 as well.
    Now, we can identify that 1 is yet to play 3 both the times, 2 once. And we are looking for teams playing each
    other twice.

    17.

    The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET
    tournament. These teams are divided equally into two groups. In the tournament, each team plays every other
    team in the same group only once, and each team in the other group exactly twice. The tournament has several
    rounds, each of which consists of a few games. Every team plays exactly one game in each round.
    The following additional facts are known about the schedule of games in the tournament.
    1. Each team played against a team from the other group in Round 8.
    2. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In
    Round 5 and Round 8, the match-ups were identical.
    3. Team 4 played Team 6 in both Round 1 and Round 2.
    4. Team 1 played Team 5 ONLY once and that was in Round 2.
    5. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6.
    6. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.

     How many rounds were there in the tournament?

    01.

     How many rounds were there in the tournament?

    Answer : 8

    Video Explanation

    Explanatory Answer

    We are told that there are six teams, that are divided into two groups.
    Teams in the same group will play each other only once, and teams in different group will play each other twice.
    Calculating the combinations, there is going to be games among teams in the same group among them,
    and since there is two groups, total such games will be 6.
    Now, teams in different group play each other twice. Calculating the combinations for this,
    From the first group, a team can be chosen in three ways, and from the second group, a team can be chosen in
    three ways. Total ways two teams from different groups can play each other is 3x3 which is 9. And since they
    play each other twice, that is 9+9 games of this combination.
    Total number of games is 18+6=24
    It is given that each team plays one game in each round, that means there is going to be 3 matchups in each
    round. And given, there is 24 games to played in this format, the number of rounds will be 24/3=8
    The tournament will have 8 rounds.
    Now that we know there are going to be 8 rounds in the tournament, let us identify the teams in a particular
    group, that will help us build the matchups.
    We are told that Round 8 teams from different groups play each other, and Teams 1 and 5 play only once. This
    means, 1 and 5 have to be on the same group. It is also told that 4 and 6 play each other twice, that means 4
    and 6 have to be in different groups. Looking at the matches from Round 8 that is given to us, 3 played 6 and 2
    played 5. We already know 1 and 5 are in the same group, so 2 must be in the other group. Among 3 and 6, if we
    were to place 3 in the group with 1 and 5, 4 and 6 would have to be in the same group, which is not possible,
    hence 6 is with 1 and 5, giving us the final combination of groups.
    Now, using the given information to build the matchups for the 8 rounds.

    Rounds marked with the same colour represent the fact that the matchups are identical. Now we know that
    each team plays a game in each round, we know 2 out of the 3 matches for Round 2 and 8, and we can identify
    the third matchups as well. Giving us this resulting table.
    We are told that Round 4 and 7 are identical, that means they are the matchups between teams from two
    different groups,
    We look at the matchups that are remaining among the 6 teams where both the games are left to play.
    Right away we identify that 6 is yet to play 2 twice and 5 once. We are looking for teams playing twice, so both
    Round 4 and 7 has a matchups between 2 and 6. This means 6 will play 5 in Round 3 and using that we can
    identify the third matchup in Round 3 as well.
    Now, we can identify that 1 is yet to play 3 both the times, 2 once. And we are looking for teams playing each
    other twice.

    02.

    What is the number of the team that played Team 1 in Round 5?

    Answer : 4

    Video Explanation

    Explanatory Answer

    We are told that there are six teams, that are divided into two groups.
    Teams in the same group will play each other only once, and teams in different group will play each other twice.
    Calculating the combinations, there is going to be games among teams in the same group among them,
    and since there is two groups, total such games will be 6.
    Now, teams in different group play each other twice. Calculating the combinations for this,
    From the first group, a team can be chosen in three ways, and from the second group, a team can be chosen in
    three ways. Total ways two teams from different groups can play each other is 3x3 which is 9. And since they
    play each other twice, that is 9+9 games of this combination.
    Total number of games is 18+6=24
    It is given that each team plays one game in each round, that means there is going to be 3 matchups in each
    round. And given, there is 24 games to played in this format, the number of rounds will be 24/3=8
    The tournament will have 8 rounds.
    Now that we know there are going to be 8 rounds in the tournament, let us identify the teams in a particular
    group, that will help us build the matchups.
    We are told that Round 8 teams from different groups play each other, and Teams 1 and 5 play only once. This
    means, 1 and 5 have to be on the same group. It is also told that 4 and 6 play each other twice, that means 4
    and 6 have to be in different groups. Looking at the matches from Round 8 that is given to us, 3 played 6 and 2
    played 5. We already know 1 and 5 are in the same group, so 2 must be in the other group. Among 3 and 6, if we
    were to place 3 in the group with 1 and 5, 4 and 6 would have to be in the same group, which is not possible,
    hence 6 is with 1 and 5, giving us the final combination of groups.
    Now, using the given information to build the matchups for the 8 rounds.

    Rounds marked with the same colour represent the fact that the matchups are identical. Now we know that
    each team plays a game in each round, we know 2 out of the 3 matches for Round 2 and 8, and we can identify
    the third matchups as well. Giving us this resulting table.
    We are told that Round 4 and 7 are identical, that means they are the matchups between teams from two
    different groups,
    We look at the matchups that are remaining among the 6 teams where both the games are left to play.
    Right away we identify that 6 is yet to play 2 twice and 5 once. We are looking for teams playing twice, so both
    Round 4 and 7 has a matchups between 2 and 6. This means 6 will play 5 in Round 3 and using that we can
    identify the third matchup in Round 3 as well.
    Now, we can identify that 1 is yet to play 3 both the times, 2 once. And we are looking for teams playing each
    other twice.

    03.

    Which team among the teams numbered 2, 3, 4, and 5 was not part of the same group?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    2, 3 and 4 were part of the same group. 5 is the answer.

    04.

    What is the number of the team that played Team 1 in Round 7?

    Answer : 3

    Video Explanation

    Explanatory Answer

    The team that played Team 1 in Round 7 is 3.

    05.

    What is the number of the team that played Team 6 in Round 3?

    Answer : 5

    Video Explanation

    Explanatory Answer

    Team that played Team 6 in Round 3 was Team 5.

    18.

    Which of the following can be determined with certainty?
    I. The number of stars received by C from M
    II. The number of stars received by D from O

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    There are two cases formed since we cannot identify for certain two whom did O reward the stars to,
    We can identify the number of stars rewarded by M to C.
    Hence only statement 1 can be identified uniquely.

    19.

     How many surfers distributed their stars among exactly 2 bloggers?

    Answer : 2

    Video Explanation

    Explanatory Answer

    M distributed among 3 bloggers, N among 2 bloggers, O among 1, P among 2, X among 1, Y among 3
    Hence 2 surfers distribute their stars among 2 bloggers.

    20.

    What was the number of stars received by D from Y?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    We are told that D receives more stars than C from Y. Considering Y has already given 25 stars, it will give 0
    stars to C and 5 stars to D.
    The only two surfers who have not given any stars to A or B is O and X, and these are the two surfers to give all
    of their stars to a single blogger.
    We are also told that M gives different stars to the four bloggers,
    Since he has already given 0 and 10, the remaining distinct stars should add up to 20. The only numbers that
    are remaining that add up to 20 are 5 and 15.
    We know that X rewards one of C or D 30 stars and O rewards one of C or D 30 stars. Given that, M could not
    have rewarded D 15 stars, since Y rewarded D 5 stars, and D is also going to rewarded 30 stars by O or X, and
    since the total is same for all, which is 45. This is not possible.
    This means that, M rewarded C 15 stars and D 5 stars.
    This gives us two casesa1.png

    21.

    What was the total number of stars received by D?

    Answer : 45

    Video Explanation

    Explanatory Answer

    We are told that D receives more stars than C from Y. Considering Y has already given 25 stars, it will give 0
    stars to C and 5 stars to D.
    The only two surfers who have not given any stars to A or B is O and X, and these are the two surfers to give all
    of their stars to a single blogger.
    We are also told that M gives different stars to the four bloggers,
    Since he has already given 0 and 10, the remaining distinct stars should add up to 20. The only numbers that
    are remaining that add up to 20 are 5 and 15.
    We know that X rewards one of C or D 30 stars and O rewards one of C or D 30 stars. Given that, M could not
    have rewarded D 15 stars, since Y rewarded D 5 stars, and D is also going to rewarded 30 stars by O or X, and
    since the total is same for all, which is 45. This is not possible.
    This means that, M rewarded C 15 stars and D 5 stars.

    a1.png

    22.

    Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D.
    The number of stars received by A and B from the six web surfers is shown in the figure below.

    a1.png

    The following additional facts are known regarding the number of stars received by the bloggers from the
    surfers.
    1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0).
    2. The total numbers of stars received by the bloggers were the same.
    3. Each blogger received a different number of stars from M.
    4. Two surfers gave all their stars to a single blogger.
    5. D received more stars than C from Y.

    01.

    What was the total number of stars received by D?

    Answer : 45

    Video Explanation

    Explanatory Answer

    We are told that D receives more stars than C from Y. Considering Y has already given 25 stars, it will give 0
    stars to C and 5 stars to D.
    The only two surfers who have not given any stars to A or B is O and X, and these are the two surfers to give all
    of their stars to a single blogger.
    We are also told that M gives different stars to the four bloggers,
    Since he has already given 0 and 10, the remaining distinct stars should add up to 20. The only numbers that
    are remaining that add up to 20 are 5 and 15.
    We know that X rewards one of C or D 30 stars and O rewards one of C or D 30 stars. Given that, M could not
    have rewarded D 15 stars, since Y rewarded D 5 stars, and D is also going to rewarded 30 stars by O or X, and
    since the total is same for all, which is 45. This is not possible.
    This means that, M rewarded C 15 stars and D 5 stars.

    a1.png

    02.

    What was the number of stars received by D from Y?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    We are told that D receives more stars than C from Y. Considering Y has already given 25 stars, it will give 0
    stars to C and 5 stars to D.
    The only two surfers who have not given any stars to A or B is O and X, and these are the two surfers to give all
    of their stars to a single blogger.
    We are also told that M gives different stars to the four bloggers,
    Since he has already given 0 and 10, the remaining distinct stars should add up to 20. The only numbers that
    are remaining that add up to 20 are 5 and 15.
    We know that X rewards one of C or D 30 stars and O rewards one of C or D 30 stars. Given that, M could not
    have rewarded D 15 stars, since Y rewarded D 5 stars, and D is also going to rewarded 30 stars by O or X, and
    since the total is same for all, which is 45. This is not possible.
    This means that, M rewarded C 15 stars and D 5 stars.
    This gives us two casesa1.png

    03.

     How many surfers distributed their stars among exactly 2 bloggers?

    Answer : 2

    Video Explanation

    Explanatory Answer

    M distributed among 3 bloggers, N among 2 bloggers, O among 1, P among 2, X among 1, Y among 3
    Hence 2 surfers distribute their stars among 2 bloggers.

    04.

    Which of the following can be determined with certainty?
    I. The number of stars received by C from M
    II. The number of stars received by D from O

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    There are two cases formed since we cannot identify for certain two whom did O reward the stars to,
    We can identify the number of stars rewarded by M to C.
    Hence only statement 1 can be identified uniquely.

    23.

    What would have been the percentage wealth gain for a trader, who bought equal numbers of all bullish
    shares at opening price and sold them at their day’s high?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    There are three bullish shares, C D and G
    Lets say a trader buys one share of each of these stocks, and sells them at their day's high
    One share of C at opening is 800, sells at 1400
    One share of D at opening is 500, 1200
    One share of G at opening is 1200, 1900
    Total Investment is 2500, and total money after selling is 4500
    That is an 80%.

    24.

     Daily loss for a share is defined as (Opening price - Closing price) / (Opening price). Which among the
    shares A, B, F and G had the highest daily loss on that day?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    Daily loss for a share is defined as (Opening price - Closing price) / (Opening price)

    Stock G gained money that day
    Hence Stock A has the highest Daily Loss.

    25.

    Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening
    and closing prices during the day). How many shares had an SPV greater than 0.5 on that day?

    Answer : 4

    Video Explanation

    Explanatory Answer

    We are given that, Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average
    of the opening and closing prices during the day)
    Calculating it for the stocks
    Stock A: 1200/2000=3/5
    Stock B: 600/1850=60/185
    Stock C: 600/1000=3/5
    Stock D: 900/750=90/75=6/5
    Stock E: 300/1200=1/4
    Stock F: 800/1700=8/17
    Stock G: 900/1450=90/145
    We need to check for stocks greater than 0.5 on that day,
    Stock A, Stock C, Stock D, Stock G have SPV greater than 0.5 that day.
    Hence, the answer is 4.

    26.

    Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening
    and closing prices during the day). Which among the shares A, C, D and F had the highest SPV on that day?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer


    We are given that, Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average
    of the opening and closing prices during the day)
    Calculating it for the four options,
    Stock F: 800/1700=8/17
    Stock A: 1200/2000=3/5
    Stock D: 900/750=90/75=6/5
    Stock C: 600/1000=3/5
    Clearly Stock D has the highest SPV.

    27.

    The chart below shows the price data for seven shares - A, B, C, D, E, F, and G as a candlestick plot for a
    particular day. The vertical axis shows the price of the share in rupees. A share whose closing price (price at the
    end of the day) is more than its opening price (price at the start of the day) is called a bullish share; otherwise, it
    is called a bearish share. All bullish and bearish shares are shown in green and red colour respectively.

    a1.png

    01.

    Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening
    and closing prices during the day). Which among the shares A, C, D and F had the highest SPV on that day?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer


    We are given that, Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average
    of the opening and closing prices during the day)
    Calculating it for the four options,
    Stock F: 800/1700=8/17
    Stock A: 1200/2000=3/5
    Stock D: 900/750=90/75=6/5
    Stock C: 600/1000=3/5
    Clearly Stock D has the highest SPV.

    02.

    Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average of the opening
    and closing prices during the day). How many shares had an SPV greater than 0.5 on that day?

    Answer : 4

    Video Explanation

    Explanatory Answer

    We are given that, Daily Share Price Variability (SPV) is defined as (Day’s high price - Day’s low price) / (Average
    of the opening and closing prices during the day)
    Calculating it for the stocks
    Stock A: 1200/2000=3/5
    Stock B: 600/1850=60/185
    Stock C: 600/1000=3/5
    Stock D: 900/750=90/75=6/5
    Stock E: 300/1200=1/4
    Stock F: 800/1700=8/17
    Stock G: 900/1450=90/145
    We need to check for stocks greater than 0.5 on that day,
    Stock A, Stock C, Stock D, Stock G have SPV greater than 0.5 that day.
    Hence, the answer is 4.

    03.

     Daily loss for a share is defined as (Opening price - Closing price) / (Opening price). Which among the
    shares A, B, F and G had the highest daily loss on that day?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    Daily loss for a share is defined as (Opening price - Closing price) / (Opening price)

    Stock G gained money that day
    Hence Stock A has the highest Daily Loss.

    04.

    What would have been the percentage wealth gain for a trader, who bought equal numbers of all bullish
    shares at opening price and sold them at their day’s high?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    There are three bullish shares, C D and G
    Lets say a trader buys one share of each of these stocks, and sells them at their day's high
    One share of C at opening is 800, sells at 1400
    One share of D at opening is 500, 1200
    One share of G at opening is 1200, 1900
    Total Investment is 2500, and total money after selling is 4500
    That is an 80%.

    28.

    Which house in Block YY has parking space?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

        

     

    29.

    What is the maximum possible quoted price (in lakhs of Rs.) for a vacant house in Column-E?

    Answer : 21

    Video Explanation

    Explanatory Answer

        

     

    30.

    Which of the following options best describes the number of vacant houses in Row-2?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

        

     

    31.

    Which of the following houses are definitely occupied?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

        

     

    32.

    How many houses are vacant in Block XX?

    Answer : 3

    Video Explanation

    Explanatory Answer

        

     

    33.

    The schematic diagram below shows 12 rectangular houses in a housing complex. House numbers are mentioned in the rectangles representing the houses. The houses are located in six columns – Column-A through Column-F, and two rows – Row-1 and Row-2. The houses are divided into two blocks - Block XX and Block YY. The diagram also shows two roads, one passing in front of the houses in Row-2 and another between the two blocks.

        



    Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.

    The road adjacency value of a house is the number of its sides adjacent to a road. For example, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.

    The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).

    The following information is also known.
    1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.

    2. Row-1 has two occupied houses, one in each block.

    3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.

    4. There is only one house with parking space in Block YY.

    01.

    How many houses are vacant in Block XX?

    Answer : 3

    Video Explanation

    Explanatory Answer

        

     

    02.

    Which of the following houses are definitely occupied?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

        

     

    03.

    Which of the following options best describes the number of vacant houses in Row-2?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

        

     

    04.

    What is the maximum possible quoted price (in lakhs of Rs.) for a vacant house in Column-E?

    Answer : 21

    Video Explanation

    Explanatory Answer

        

     

    05.

    Which house in Block YY has parking space?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

        

     

    34.

    Which pair of performances were composed by the same composer?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    35.

    The sixth performance was composed by:

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    36.

    Which of the following is FALSE?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    37.

    Which of the following is true?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    38.

    Princess, Queen, Rani and Samragni were the four finalists in a dance competition. Ashman, Badal, Gagan and Dyu were the four music composers who individually assigned items to the dancers. Each dancer had to individually perform in two dance items assigned by the different composers. The first items performed by the four dancers were all assigned by different music composers. No dancer performed her second item before the performance of the first item by any other dancers. The dancers performed their second items in the same sequence of their performance of their first items.


    The following additional facts are known.


    i) No composer who assigned item to Princess, assigned any item to Queen.
    ii) No composer who assigned item to Rani, assigned any item to Samragni.
    iii) The first performance was by Princess; this item was assigned by Badal.
    iv) The last performance was by Rani; this item was assigned by Gagan.
    v) The items assigned by Ashman were performed consecutively. The number of performances between items assigned by each of the remaining composers was the same.

    01.

    Which of the following is true?

    Option B is the correct answer.

    Video Explanation

    Explanatory Answer

    02.

    Which of the following is FALSE?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

    03.

    The sixth performance was composed by:

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    04.

    Which pair of performances were composed by the same composer?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

    39.

    Which among the digits 4, 6, 7 and 8 cannot be represented by the letter G? 

    Answer : 6

    Video Explanation

    Explanatory Answer

    40.

    Which digit does the letter B represent? 

    Answer : 9

    Video Explanation

    Explanatory Answer

    41.

        

     

    01.

    Which digit does the letter A represent?

    Answer : 1

    Video Explanation

    Explanatory Answer

    02.

    Which digit does the letter B represent? 

    Answer : 9

    Video Explanation

    Explanatory Answer

    03.

    Which among the digits 3, 4, 6 and 7 cannot be represented by the letter D?

    Answer : 7

    Video Explanation

    Explanatory Answer

    04.

    Which among the digits 4, 6, 7 and 8 cannot be represented by the letter G? 

    Answer : 6

    Video Explanation

    Explanatory Answer

    42.

    Which digit does the letter A represent?

    Answer : 1

    Video Explanation

    Explanatory Answer

    43.

    Which among the digits 3, 4, 6 and 7 cannot be represented by the letter D?

    Answer : 7

    Video Explanation

    Explanatory Answer

    44.

    What was Tanzi's score in Round 3?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

     

    45.

    Which of the following statements is true?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

     

    46.

    What was Zeneca's total score?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

     

    47.

    What was the highest total score?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

     

    48.

        

     

    01.

    What was the highest total score?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

     

    02.

    What was Zeneca's total score?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

     

    03.

    Which of the following statements is true?

    Option C is the correct answer.

    Video Explanation

    Explanatory Answer

     

    04.

    What was Tanzi's score in Round 3?

    Option A is the correct answer.

    Video Explanation

    Explanatory Answer

     

    49.

    Which of the following statements is necessarily true?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer

    50.

    In how many different ways can the items be arranged on the shelves?

    Option D is the correct answer.

    Video Explanation

    Explanatory Answer