Question Numbers (1 to 5):
Comprehension:
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.
Q. 1 How many rounds were there in the tournament?
Correct Answer
8
Explanation
There were 8 rounds in the tournament.
Q. 2 What is the number of the team that played Team 1
in Round 5?
Correct Answer
4
Explanation
Team 4 played Team 1 in Round 5.
Correct Answer
1
Explanation
Team 5 was not in the same group of Teams 2, 3, 4.
Q. 4 What is the number of the team that played Team 1
in Round 7?
Correct Answer
3
Explanation
Team 3 played Team 1 in Round 7.
Q. 5 What is the number of the team that played Team 6
in Round 3?
Correct Answer
5
Explanation
Team 5 played Team 6 in Round 3.
Question Numbers (6 to 10):
Comprehension:
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 above-mentioned 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.
Correct Answer
2
Explanation
The intensity is 1 and 1.
Turnout votes = 20 × (1 + 1)% = 40%.
So, each candidate received 20% of the votes.
However, 10% of the votes were reduced.
So each candidate received 18% of the votes.
Hence, the percentage of students who will vote in
the election is 18% + 18% = 36%.
Correct Answer
1
Explanation
For the minimum percentage, both should run a
staid campaign.
When they attack each other, 10% of the votes
are lost.
Hence, the minimum percentage of students who
will vote in the election is 18% + 18% = 36%.
Correct Answer
3
Explanation
For the maximum percentage of votes, the turnout
is 80%.
So, Amiya received 40% of the votes, and Ramya
received 40%.
20% of Ramya’s votes are transferred to Amiya.
Hence, the maximum percentage of votes that
Amiya can get is:
= 40% + 20% of 40% = 40% + 8% = 48%.
Correct Answer
3
Explanation
For the minimum percentage of votes, the turnout
is 40%.
So, each candidate received 20% of the votes.
Since Ramya runs a campaign attacking Amiya,
20% of her votes are transferred to Amiya, and 5%
of her votes are lost.
Hence, the minimum percentage of votes that
Ramya is guaranteed to get is:
= 20% – 20% of 20% – 5% of 20%
= 20% – 4% – 1% = 15%.
Correct Answer
3
Explanation
In this case, turnout votes = 60%
Case 1: Amiya got 40% votes and Ramya got 20%
votes.
Amiya received = 40% + 20% of 20% = 44%
Ramya received = 20% – 20% of 20% – 5% of
20% = 15%
So difference = 44% – 15% = 29%
Case 2: Amiya got 20% votes and Ramya got 40%
votes.
Amiya received = 20% + 10% of 20% – 10% of
20% = 16%
Ramya received = 40% + 10% of 20% = 42%
So difference = 42% – 16% = 26%
Hence, the maximum possible voting margin
= 29%.
Question Numbers (11 to 14):
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.
Correct Answer
1
Explanation
Q. 12 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?
Correct Answer
4
Explanation
Correct Answer
1
Explanation
Correct Answer
2
Explanation
Question Numbers (15 to 18):
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.
Q. 15 How many countries in Asia were visited by at least
one of Dheeraj, Samantha and Nitesh?
Correct Answer
3
Explanation
Three countries in Asia were visited by at least
one of them.
Q. 16 How many countries in Europe were visited only by
Nitesh?
Correct Answer
2
Explanation
Exactly two countries in Europe were visited only
by Nitesh.
Q. 17 How many countries in the ROW were visited by
both Nitesh and Samantha?
Correct Answer
4
Explanation
Four countries in the Rest of the world were visited
by both Nitesh and Samantha.
Correct Answer
2
Explanation
The number of countries in Europe that were visited
by exactly one of Dheeraj, Samantha, and Nitesh
= 6 + 2 + 4 = 12.
Question Numbers (19 to 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.
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.
Q. 19 What was the total number of stars received by D?
Correct Answer
45
Explanation
Correct Answer
1
Explanation
D received 5 stars from Y.
Q. 21 How many surfers distributed their stars among
exactly 2 bloggers?
Correct Answer
2
Explanation
Websurfers distributed their stars among exactly
2 bloggers.
Correct Answer
1
Explanation
Only I can be determined with certainty.
