# Question Bank - Logical Reasoning - Nilanjan Dutta, CAT 100 Percentiler

• You can refer my DILR course here - Crash Course: Data Interpretation and Logical Reasoning for CAT 2017

Number of sets -
Topic - Logical Reasoning
Source - CAT Preparation by Unacademy

• Q1) Seven friends – Amar, Imran, Omar, Rahul, Rakesh, Ramesh and Wasim – went to watch a match of their favourite team – Team Warrior. Each friend wore a t-shirt which had exactly one letter on its back among A, I, O, R and W. During the first half of the match, they stood in an order such that the letters on the t-shirts that they wore, when read from left to right by a person standing behind them, spelt the word “WARRIOR”. However, for the second half of the game, due to a dismal performance by their team, some of the friends randomly changed their positions. The following information is known about the t-shirts that they wore and their relative positions during the match:

(i) Amar, who was wearing a t-shirt with the letter ‘R’, was standing adjacent to Omar during the first half.
(ii) During both the first half and the second half of the match, Ramesh and Wasim were standing adjacent to each other, but neither of them was standing at either end.
(iii) Only during the second half of the game was Imran standing to the immediate left of the person wearing a t-shirt with the letter ‘A’.
(iv) No two friends wearing t-shirts with consonants were standing next to each other during the second half.
(v) Rahul was wearing a t-shirt with the letter ‘O’ and there was exactly one friend who remained his neighbour throughout the match.
(vi) During the second half, Ramesh was standing between two friends who were wearing t-shirts with the same letter.
(vii) During the second half, the person who was wearing a t-shirt with the letter ‘I’ was standing adjacent to the person wearing a t-shirt with the letter ‘W’.

Who was wearing a t-shirt with the letter ‘I’?
a) Omar
b) Ramesh
c) Wasim
d) Imran

Which of the following is a letter on the t-shirt worn by a person standing adjacent to Amar during the second half of the game?
a) A
b) R
c) O
d) W

Who among the following was standing adjacent to Wasim during the first half?
a) Rahul
b) Amar
c) Rakesh
d) Imran

Which of the following pairs of people were standing adjacent to each other during the second half of the game but not during the first half?
a) Imran, Rahul
b) Rakesh, Ramesh
c) Rakesh, Rahul
d) Omar, Wasim

• Q2) Five people joined different engineering colleges. Their first names were Sarah (Ms.), Swati (Ms.), Jackie, Mohan and Priya (Ms.). The surnames were Reddy, Gupta, Sanyal, Kumar and Chatterjee. Except for one college which was rated as 3 star, all other colleges were rated either 4 star or 5 star. The “Techno Institute” had a higher rating than the college where Priya studied. The three-star college was not “Deccan College.” Mohan’s last name was Gupta but he didn’t study at “Barla College.” Sarah, whose last name wasn’t Sanyal, joined “Techno Institute.” Ms. Kumar and Jackie both studied at four-star colleges. Ms. Reddy studied at the “Anipal Institute,” which wasn’t a five-star college. The “Barla College” was a five-star college. Swati’s last name wasn’t Chatterjee. The “Chemical College” was rated with one star less than the college where Sanyal studied. Only one college was rated five star.

1. Which is the correct combination of first names and surnames?
A) Mohan Gupta, Sarah Kumar, Priya Chatterjee
B) Priya Chatterjee, Sarah Sanyal, Jackie Kumar
C) Jackie Sanyal, Swati Reddy, Mohan Gupta
D) Mohan Gupta, Jackie Sanyal, Sarah Reddy
E) Jackie Chatterjee, Priya Reddy, Swati Sanyal

2. Which option gives a possible student - institute combination?
A) Priya – Anipal, Swati – Deccan, Mohan – Chemical
B) Swati – Barla, Priya – Anipal, Jackie – Deccan
C) Jackie – Chemical, Priya – Techno, Mohan – Barla
D) Priya – Anipal, Jackie – Techno, Sarah – Barla
E) Swati – Deccan, Priya – Anipal, Sarah – Techno

3. Mohan Gupta may have joined:
A) Techno Institute which had 5 star rating
B) Deccan College which had 5 star rating
C) Anipal Institute which had 4 star rating
D) Chemical College which had 4 star rating
E) Techno Institute which had 4 star rating

4. In which college did Priya study?
A) Anipal Institute
B) Chemical Institute
C) Barla College
D) Deccan College
E) Techno- Institute

5. The person with surname Sanyal was:
A) Sarah studying in Chemical College
B) Swati studying in Barla College
C) Priya studying in Deccan College
D) Jackie studying in Deccan College
E) Sarah studying in Techno- Institute

• Q3) The Lee family comprises of eight family members (Song, Bong, Kong, Tong, Pong, Fong, Long & Dong). Each of them plays a different Sport, which is amongst the following (in no particular order) – Kabaddi, Soccer, Cricket, Tennis, Hockey, Carrom, Volleyball and Handball.
The following additional information is known:-

• While Fong has no daughter-in-law in the family, Long is Dong’s brother-in-law
• Kong, who plays Kabaddi, is an unmarried sister of Long, who does not play Volleyball
• There are two unmarried people in the family, and Pong does not play Tennis
• None of the male members of the family play Cricket or Tennis
• Each female member except Fong has two sisters and one brother
• Tong is the father-in-law of Song and is the one who plays Handball
• Both the number of males and females in the Lee family, are perfect squares
• Dong, who plays Carrom, is the son-in-law of Fong
• No husband-wife’s play a sport starting with the same alphabet
• The family comprises of two generations and involves exactly three married couples
• Bong is the sister-in-law of Song, but her favourite sport is none amongst Tennis, Volleyball and Soccer
1. Which of the following is not the favourite sport of either Song or Long or Pong?
A) Hockey
B) Volleyball
C) Soccer
D) Cricket

2. What is the name of the spouse of the person who plays Soccer?
A) Bong
B) Kong
C) Pong
D) He/ She is unmarried

3. How is Song related to Bong?
A) Brother
B) Brother-in-law
C) Sister
D) Cannot Be Determined

4. Whose favourite sport starts with neither ‘H’ nor ‘C’?
A) Fong
B) Bong
C) Pong
D) Dong

• Q4) Five bus-drivers, Chandan, Madan, Balu, Veeral and Umar, each drive a particular GSTC Bus. The busses driven by them are numbered amongst B1, B2, B3, B4 and B5 (in any order). The starting and end point of their bus routes for each of the busses are different but are between places P1, P2, P3, P4 and P5 not necessarily in any order. Each place is the starting point for one bus and consequently the end point for another. The bus whose route starts from P5 and goes up to P3 is not B1. Umar’s bus route starts from place P4. The bus routes of the five busses B1 to B5 were such that B1’s end point is B2’s starting point, with the latter’s end point being B3’s starting point and so on with B5’s end point being B1’s starting point. The route of bus B3 ends at P1, but Chandan is not the driver of that bus. Veeral drives B4, while Balu drives the bus, whose route ends at P5.

1. Chandan is the bus driver of which bus?
a) B1
b) B2
c) B5
d) Cannot Be Determined

2. Which place was the starting point of Madan’s bus?
a) P1
b) P2
c) P3
d) P5

3. Which of the following statements is true?
a) The end point of B5’s bus route is P3
b) The starting point of Balu’s bus route is P1
c) Umar is the driver of Bus B5
d) None of These

4. Which bus driver’s bus route is between places P5 & P2 (in any order)?
a) Balu
c) Chandan
d) No such bus route

1. Who is the head of lab Alpha?
a) Mr. Ram
b) Mr. Arjun
c) Mr. Hari
d) Mr. Karan

2. For which lab, none of the students identified the correct head?
a) Alpha
b) Beta
c) Theta
d) Gama

3. Which student did not give any correct answer?
a) Dia
b) Kali
c) Dev
d) Both (a) and (b)

4. How many correct lab heads were identified by Kali?
a) 0
b) 1
c) 2
d) 3

• @nilanjan-dutta 1.Omar

1. A
3.Amar
is it ryt?

• @nilanjan-dutta

1. E
2.B
3.D
4.A
5.B

• @Omkar-Rudrawar

First half
W(Rakesh) A(Ram) R(Wasim) R(Amar) I(Omar) O(Rahul) R(Imran)
2nd Half
R(Amar) O(Rahul) R(Imran) A(Ram) R(Wasim) I(Omar) W(Rakesh)
OA - ACBD [Credits - Akshay Prem]

• @Omkar-Rudrawar E B D A B is correct (Can you please share your approach also so that others can benefit :) )
Swati Sanyal-Barla(5)
Sarah Kumar-Techno(4)
Jackie Chatterjee-Deccan(4)/Chemical(4)
Mohan Gupta-Deccan/Chemical
Priya Reddy-Anipal(3)
[Credits - Akshay Prem]

1. C
2. A
3. D
4. A

• Q6) There are eight friends A, B, C, D, E, F, G and H are sitting around a square table in such a way that four of them sit at the four corners of the square table while four sit in the middle of each of four sides. The one who sits at the four corners face the center and those who sit in the middle of the sides face outward. Each of them likes different colour, viz Red, Green, Violet, Black, White, Pink, Blue and Orange.
F sits third to left of the one who likes Green. The one who likes Green faces outward. Only two friends sit between F and A. The one who likes Red sits on the immediate right of A. The one who likes White sits second to right of B, who is not immediate neighbor of A or F.B does not like Green. Only one friend sits between H and one who likes White. E sits on the immediate left of the one who likes Black. B does not like Black. D likes Violet but he is not immediate neighbor of H. The one who likes Orange is an immediate neighbor of D. The one who likes Pink is an immediate neighbor of C. C is an immediate neighbor of both E and the one who likes Orange.

1. Who among following likes Pink colour?
(a) E
(b) A
(c) H
(d) G
(e) F

2. Who among following sits opposite to D?
(a) G
(b) F
(c) C
(d) B
(e) A

3. Who among following sits second to right of D?
(a) A
(b) E
(c) C
(d) B
(e) G

4. Four of the following five are alike in a certain way and hence they form a group. Which one of the following does not belong to that group?
(a) A
(b) H
(c) B
(d) E
(e) F

5. Who among following sits diagonally opposite to H ?
(a) E
(b) B
(c) F
(d) A
(e) None of these

• Q7) Three childhood friends, Nachiket, Praveen and Sudev go to a Beer Cafe. The Beer Cafe serves only two brands of Beer - Heineken and Budweiser, and hence all three of them had to restrict their ordering choice of Beer to any one of these two brands only.

The following information is known on their choice of Beer:-

If Praveen ordered for Budweiser, then Sudev did not order for that brand of Beer which Nachiket had ordered
If Sudev did not order for Heineken, then Praveen and Nachiket did not order for different brand of Beers
If Praveen did not order for Budweiser, then Nachiket ordered for that brand of Beer which Sudev had ordered

1. Which brand of Beer did Nachiket order that evening?
A) Heineken
B) Budweiser
C) The same brand of Beer that Sudev ordered
D) The same brand of Beer that Praveen ordered

2. For how many of them can we uniquely determine which brand of Beer they ordered for?
A) None
B) 1
C) 2
D) 3

3. Which of the following statement is definitely true?
A) At least one person ordered each of the brand of Beers
B) Nachiket and Sudev ordered the same brand of Beer
C) Praveen and Nachiket ordered for the same brand of Beer
D) Nachiket did not order Heineken

4. What additional information would help uniquely determine the brand of Beer chosen by each friend?
A) Praveen and Nachiket ordered a different brand of Beer
B) Sudev ordered for Heineken
C) Praveen and Nachiket ordered the same brand of Beer
D) Nachiket did not order Budweiser

• Q8) Eight people P, Q, R, S, T, U, V, and W were born in three different months(of the same year) but not necessarily in the same order, namely March, June and December such that not less than two people and not more than three people were born in a month. Each of them also likes a different fruit namely Guava, Peach, Banana, Cherry, Mango, Orange, Kiwi and apple but not necessarily in the same order. Each goes to Eight different Universities namely Indian Institute of Science, University of Delhi, Banaras Hindu University, Osmania University, IIT Madras, Shivaji University, Dr. APJ Abdul Kalam Technical University and University of Mumbai but not in necessarily same order.

Only Q and W were born in March. R likes Apple and was born in the same month as T. R was not born in December. The one who likes Mango was born in the month which has 30 days only. U was not born in the same month as T. S likes Cherry and born in the same month as U. V does not like Mango. The one who likes Kiwi and the one who likes Banana were born in the same month, The one who likes Kiwi was not born in the same month as W. U does not like Kiwi. The one who likes Guava was born in the same month as P. Q does not like Peach. T does not like Mango. Three people are there between the one who goes to IIT Madras on one of the months which has more than 30 days and the one who goes to Shivaji University on one of the months which has less than 31 days. Three people are there between the one who goes to Dr. APJ Technical University on one of the months which has more than 30 days and the one who goes to University of Delhi on one of the months which has more than 30 days. Three people are there between the one who goes to Osmania University on one of the months which has less than 30 days and the one who goes to Banaras Hindu University on one of the months which has more than 30 days. V does not go to Neither University of Mumbai nor IIT Madras. W does not go to University of Delhi.

1. As per the given arrangement which of the following combination represents only the people who were born in December?.
A. T, V
B. U, P, T
C. V, U
D. P, T
E. U, V, S

2. As per the given arrangement which of the following person represent the one who was born in the same month as the one who likes Orange?
A. U
B. P
C. R
D. T
E. W

3. Which of the following fruits does T like as per the given arrangement?
A. Orange
B. Peach
C. Guava
D. Banana
E. Other than those given as options

4. Of the following combinations is correct as per the given arrangement?
A. December – Peach – Shivaji
B. June – Orange – IIT Madras
C. June – Banana – Indian Institute of Science
D. March – Guava – Osmania
E. December – Banana – Banaras Hindu University

5. Who amongst the following goes to APJ Technical University as per the given arrangement?
A. P
B. V
C. U
D. W
E. T

• A cricket tournament was played involving 8 teams, namely Australia. England. India, New Zealand, Pakistan, South Africa, Sri Lanka and West Indies. Before the tournament began, a group of 6 friends, namely A. B. C. D. E and F played a game with their common friend, named X. In the game, each of the six friends paid equal amount as entry fee for the game Each one or them made predictions about possible ranks of the 8 teams in the tournament. X would pay 1 dollar for predicting 8th position correctly, 2 dollars for predicting 7th position correctly, 4 dollars for predicting 6th position correctly. 8 dollars for predicting 5th position correctly and so on.

Following were the predictions made by the six friends regarding the ranks:

Following details are known:

1. Rank of team New Zealand was 6th in the tournament. Ranks of all other teams were correctly predicted by exactly one friend,
2. B could not predict the rank of any team correctly. F could predict the ranks of total 3 teams correctly while all other friends could predict the rank of exactly one team correctly.
3. Maximum difference between the actual rank in the tournament and rank predicted by any friend was 4 each tor Pakistan and South Africa and 5 tor Sri Lanka.

What were the ranks of each team in the tournament ?

• Q10) Six persons – A through F – are ranked from 1 to 6 according to their heights, such that the tallest person is ranked first. They are also ranked from 1 to 6 according to their weights, such that the heaviest person is ranked first. The following information is known about their heights and weights:
(i) The tallest person is not the lightest and the shortest person is not the heaviest.
(ii) For no person is the rank according to his height the same as the rank according to his weight.
(iii) C, who is neither the shortest nor the heaviest, is shorter than E while B is taller than D.
(iv) There are at least three people taller than E and at least two people lighter than E.
(v) D is the third heaviest person among the six and at most two people are taller than D.
(vi) F is not the shortest and E is not the heaviest.

1. Who is the heaviest among the six?
a) A
b) E
c) F
d) Cannot be determined

2. Who among the following is lighter than D?
a) E
b) B
c) F
d) More than one of the above

3. If there are at least two people lighter than the tallest person, who is the fifth heaviest among the six?
a) A
b) B
c) E
d) F

4. Among the following persons, for which person is the sum of the ranks by height and by weight the highest?
a) E
b) B
c) D
d) C

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