Time Left - 20:00 mins

# MEGA QUIZ 28 & WEEKLY REVISION || Logical Reasoning and Data Interpretation || CAT 2021 || 26 September

Attempt now to get your rank among 259 students!

Question 1

Directions: Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each group consists of eight teams, with each team playing every other team in its group exactly once. At the end of the first stage, the top four teams from each group advance to the second stage while the rest are eliminated. The second stage comprises of several rounds. A round involves one match for each team. The winner of a match in a round advances to the next round, while the loser is eliminated, The team that remains undefeated in the second stage is declared the winner and claims the Gold Cup.
The tournament rules are such that each match result in a winner and a loser with no possibility of a tie. In the first stage a team earns one point for each win and no points for a loss. At the end of the first stage teams in each group are ranked on the basis of total points to determine the qualifiers advancing to the next stage. Tiles are resolved by a series of complex tie-breaking rules so that exactly four teams from each group advance to the next stage.
What is the total number of matches played in the tournament?

Question 2

Directions: Sixteen teams have been invited to participate in the ABC Gold Cup cricket tournament. The tournament is conducted in two stages. In the first stage, the teams are divided into two groups. Each group consists of eight teams, with each team playing every other team in its group exactly once. At the end of the first stage, the top four teams from each group advance to the second stage while the rest are eliminated. The second stage comprises of several rounds. A round involves one match for each team. The winner of a match in a round advances to the next round, while the loser is eliminated, The team that remains undefeated in the second stage is declared the winner and claims the Gold Cup.
The tournament rules are such that each match result in a winner and a loser with no possibility of a tie. In the first stage a team earns one point for each win and no points for a loss. At the end of the first stage teams in each group are ranked on the basis of total points to determine the qualifiers advancing to the next stage. Tiles are resolved by a series of complex tie-breaking rules so that exactly four teams from each group advance to the next stage.
The minimum number of wins needed for a team in the first stage to guarantee advancement to the next stage is:

Question 3

Direction: Study the following information and answer the following questions.

Six persons, A, B, C, D, E, and F are seated around a hexagonal table with one person at each corner, facing inward. They do not like different vegetables, viz. Carrot, Beets, Brinjal, Tomato, Potato, and Cabbage.

A sits opposite of F, who does not like Carrot. The one who does not like Beet is either C or E and sits second to the right of F. The one who does not like Potato is adjacent to the one who does not like Cabbage. The one who does not like Cabbage sits adjacent to the one who does not like Beet. The one who does not like Tomato sits second to the one who does not like Cabbage. The person who does not like Tomato is neither A nor adjacent to A . B does not like either Brinjal or Potato. D is adjacent to neither B nor the one who does not like Beet.

C is not adjacent to D .

How many people are seated between A and B, when counted clockwise starting from B?

Question 4

Direction: Study the following information and answer the following questions.

Six persons, A, B, C, D, E, and F are seated around a hexagonal table with one person at each corner, facing inward. They do not like different vegetables, viz. Carrot, Beets, Brinjal, Tomato, Potato, and Cabbage.

A sits opposite of F, who does not like Carrot. The one who does not like Beet is either C or E and sits second to the right of F. The one who does not like Potato is adjacent to the one who does not like Cabbage. The one who does not like Cabbage sits adjacent to the one who does not like Beet. The one who does not like Tomato sits second to the one who does not like Cabbage. The person who does not like Tomato is neither A nor adjacent to A . B does not like either Brinjal or Potato. D is adjacent to neither B nor the one who does not like Beet.

C is not adjacent to D .

Who does not like Potato?

Question 5

Direction: 8 questions are arranged in 4 orders to create 4 sets of a question paper. This jumbling of questions is done in such a way that no question happens to be at the same question number in any pair of two sets. The sets thus formed are named as A, B, C and D. Further, it is also known that:

(i) Third question of B, sixth question of D, seventh question of A and fifth question of C are all same.

(ii) Any question out of the first three questions of B, C and D is not the first or second question in A

(iii) First question of C, sixth question of B and eighth question of D are all same.

(iv) Fifth question of A, sixth question of C and third question of D are all same.

(v) First question of B, fifth question of D and third question of A are all same.

(vi) First question of A is eighth question of B and fifth question of B is fourth question of D

(vii) Second question of B is sixth question of A

At most for how many questions, out of the eight, their question numbers can be uniquely identified in all the four sets?

Question 6

Direction: 8 questions are arranged in 4 orders to create 4 sets of a question paper. This jumbling of questions is done in such a way that no question happens to be at the same question number in any pair of two sets. The sets thus formed are named as A, B, C and D. Further, it is also known that:

(i) Third question of B, sixth question of D, seventh question of A and fifth question of C are all same.

(ii) Any question out of the first three questions of B, C and D is not the first or second question in A

(iii) First question of C, sixth question of B and eighth question of D are all same.

(iv) Fifth question of A, sixth question of C and third question of D are all same.

(v) First question of B, fifth question of D and third question of A are all same.

(vi) First question of A is eighth question of B and fifth question of B is fourth question of D

(vii) Second question of B is sixth question of A

Which of the following is necessarily true?

Question 7

Directions: 5 cities P, Q, R, S, T are connected by different modes of transports as follows –
â P and Q are connected by boat as well as by rail
â S and R are connected by bus and boat
â Q and T are connected only by air
â P and R are connected only by boat
â T and R are connected by rail and bus
Which of the following pair of cities are connected directly? (Without going to any other city)

Question 8

Directions: 5 cities P, Q, R, S, T are connected by different modes of transports as follows –
â P and Q are connected by boat as well as by rail
â S and R are connected by bus and boat
â Q and T are connected only by air
â P and R are connected only by boat
â T and R are connected by rail and bus
If a person visits each of the places starting from P and gets back to P, which of the following places must he visit twice?

Question 9

There are only four kinds of drinkers in the world, based on what kind of statement they make after being high on drinks: -
Truth Teller -> They always speak the truth.
Liar -> They always make false statements.
True Alternator -> Alternates between True and False statements, starting with a True statement.
False Alternator -> Alternates between True and False statements, starting with a False statement.
Four drinkers, Ramu, Pintu, Sahoo and Tinku, made the following three statements each. They belong to one of the above four kinds of drinkers. Also, each of them, had a different type of drink at the pub, from amongst – Vodka, Beer, Whisky and Rum.
Ramu: Only one of us made a true first statement. I drank Beer. The one who drank Vodka is a Liar.
Pintu: Tinku is a Liar. I drank Rum. The one who drank Whisky is a Truth Teller.
Sahoo: My first statement is not a false one. I drank Whisky. The one who drank Rum made a false third statement.
Tinku: Exactly two of us made a true first statement. I drank Vodka. The one who drank Beer made a true first statement.
Interestingly, all four of them made a different number of true statements.
Who drank Vodka at the pub?

Question 10

There are only four kinds of drinkers in the world, based on what kind of statement they make after being high on drinks: -
Truth Teller -> They always speak the truth.
Liar -> They always make false statements.
True Alternator -> Alternates between True and False statements, starting with a True statement.
False Alternator -> Alternates between True and False statements, starting with a False statement.
Four drinkers, Ramu, Pintu, Sahoo and Tinku, made the following three statements each. They belong to one of the above four kinds of drinkers. Also, each of them, had a different type of drink at the pub, from amongst – Vodka, Beer, Whisky and Rum.
Ramu: Only one of us made a true first statement. I drank Beer. The one who drank Vodka is a Liar.
Pintu: Tinku is a Liar. I drank Rum. The one who drank Whisky is a Truth Teller.
Sahoo: My first statement is not a false one. I drank Whisky. The one who drank Rum made a false third statement.
Tinku: Exactly two of us made a true first statement. I drank Vodka. The one who drank Beer made a true first statement.
Interestingly, all four of them made a different number of true statements.
How many of Sahoo’s statements were true?
• 259 attempts