Question Bank  Logical Reasoning  Shashank Prabhu, CAT 100 Percentiler

Q6) Each of the three logicians A, B, and C is wearing a hat. They know that the hats are either black or white and that not all the hats are white. A can see the hats of B and C; B can see the hats of A and C; C is blind. Each is asked in turn if he knows the colour of his own hat. The answers are “A : No, B : No, C : Yes” in this order only. What is the colour of C’s hat?
a. Black
b. White
c. Black if A is wearing a White hat
d. White if A is wearing a Black hat

Q7) There are 100 people in a community. Each of these people likes one or more of the 3 characters Sheldon Cooper, Barney Stinson and Chandler Bing. Ten of them like both Sheldon Cooper and Barney Stinson. 30 of them like both Chandler Bing and Sheldon Cooper. 15 of them like both Chandler Bing and Barney Stinson. 35 of them like Chandler Bing.
(1) How many of them like all the 3 characters?
a. 5
b. 10
c. 15
d. Data insufficient(2) How many of them like exactly one of the 3 characters?
a. 65
b. 45
c. 35
d. Data insufficient

Q8) Six people are sitting in a row having seat numbers 1 to 6 (from left to right) such that they sit in the order of increasing age (from left to right). (A, F), (C, B ) and (E, D) are the only pairs of siblings. One pair has only boys and another pair has only girls while the third has a boy and a girl. There is only one person sitting on one seat.
Additional information given below:
I. Boys sit at the corner.
II. No siblings sit adjacent to each other.
III. The siblings A and F have more than two people between them.
IV. No two (or more) boys sit adjacent to each other.
V. Seat 4 and 5 were occupied by girls.
VI. F and E are the eldest of the boys and the girls respectively.(1) Who occupied seat number 4?
(a) C
(b) B
(c) D
(d) Cannot be determined(2) Which two people are definitely sitting adjacent to each other?
(a) (A, D)
(b) (C, E)
(c) (B, D)
(d) (A, B )(3) How many people are sitting between A and E?
(a) 3
(b) 4
(c) 2
(d) Cannot be determined(4) Who is definitely younger than E’s brother?
(a) C
(b) B
(c) A
(d) F

Q9) 6 friends — Eddard, Joffrey, Drogo, Theon, Jon, Robb. Their wives are — Daenerys, Sansa, Catelyn, Cersei, Arya, Ygritte (not in the same order as their husbands). These 6 friends belong to Winterfell, Dragonstone, King’s Landing, The Wall, Volantis or Harrenhal (not necessarily in order). Each of them plays one of the games — Quidditch, 3d chess, Mindgame, Whackbat, Blurnsball or Calvinball (not necessarily in that order). Each of the friends belongs to one of the places only, plays only one game and is married to one lady only.
The following information is known:
Husbands of Catelyn, Arya or Ygritte do not play 3d chess or Mindgame.
The one who is from King’s Landing plays Quidditch.
Robb plays 3d chess and is from Harrenhal.
Drogo and Jon are married to Daenerys and Cersei respectively but are not from King’s Landing.
The men from Dragonstone and The Wall are Blurnsball and Mindgame players respectively.
Theon is from Volantis.
Sansa is married to the man from Harrenhal.
Drogo plays Whackbat.(1) Who is married to the man from The Wall?
(2) The person who plays Whackbat belongs to which place?

Q10) In a target shooting competition, a person is allowed to shoot at four targets successively, and is then followed by the next competitor. After all the competitors have finished one such round, the process is repeated. If a target is hit, the shooter is awarded two points. If he misses the target, the others are awarded one point each. The first person who gets to 60 points wins the competition. In a contest between A, B and C, the final score card is A=60, B=53 and C=43. Out of a total of 78 shots fired, 43 hit the target.
(1) Who was the second person to shoot?
a) A
b) B
c) C
d) Either A or B
e) Either B or C(2) How many targets did A hit?
a) 42
b) 34
c) 17
d) 14
e) Cannot be determined(3) How many targets did B miss?
a) 6
b) 10
c) 12
d) 16
e) Cannot be determined

Q11) Sanaa and Pallavi had a row over the distribution of a box of chocolates that was given to them by their friend, Danish. Pallavi yelled, "You haven’t distributed the chocolates fairly! You have kept thrice the number of chocolates that I have, for yourself. I demand a redistribution!" To this, Sanaa calmly responded by giving Pallavi one chocolate for each year of her age, in addition to what she already had and asked, "Are you happy now?". "This is still unfair! Now, I have half as many chocolates as you do", screamed Pallavi. Sanaa lost her cool and yelled back, "Listen, I think I've given you more than enough. After all, I'm twice your age. You have to obey me." Saying this, she stormed out of the room, leaving all the chocolates, including her own, on the table. After she left, Pallavi took her own chocolates and stole chocolates from Sanaa's pile equal to Sanaa's age and ran away. Sanaa later came and collected her chocolates that were left on the table.
Who has more chocolates?
a. Sanaa
b. Pallavi
c. Both have an equal number of chocolates
d. Data inadequate

Q12) A railway company has exactly three lines: line 1, line 2, and line 3. The company prints three sets of tickets for January and three sets of tickets for February: one set for each of its lines for each of the two months. The company’s tickets are printed in a manner consistent with the following conditions:
a. Each of the six sets of tickets is exactly one of the following colors: green, purple, red, yellow.
b. For each line, the January tickets are a different color than the February tickets.
c. For each month, tickets for different lines are in different colors.
d. Exactly one set of January tickets is red.
e. For line 3, either the January tickets or the February tickets, but not both, are green.
f. The January tickets for line 2 are purple.
g. No February tickets are purple.(1) If the line 3 tickets for January are red, then which one of the following statements must be true?
(a) The line 1 tickets for January are green.
(b) The line 1 tickets for January are yellow.
(c) The line 1 tickets for February are red.
(d) The line 2 tickets for February are yellow.
(e) The line 3 tickets for February are green.(2) If one set of the line 2 tickets is green, then which one of the following statements must be true?
(a) The line 1 tickets for January are red.
(b) The line 3 tickets for January are red.
(c) The line 1 tickets for February are red.
(d) The line 3 tickets for February are green.
(e) The line 3 tickets for February are yellow.(3) Which one of the following statements could be true?
(a) No January ticket is green.
(b) No February ticket is green.
(c) Only line 2 tickets are red.
(d) One set of January tickets is green and one set of January tickets is yellow.
(e) The line 2 tickets for January are the same color as the line 1 tickets for February.(4) Which one of the following statements could be true?
(a) Both the line 1 tickets for January and the line 2 tickets for February are green.
(b) Both the line 1 tickets for January and the line 2 tickets for February are yellow.
(c) Both the line 1 tickets for January and the line 3 tickets for February are yellow.
(d) The line 1 tickets for January are green, and the line 3 tickets for February are red.
(e) The line 3 tickets for January are yellow, and the line 1 tickets for February are red.(5) If the line 3 tickets for February are yellow, then each of the following statements must be true EXCEPT:
(a) One set of January tickets is green.
(b) One set of line 1 tickets is red.
(c) One set of line 2 tickets is red.
(d) The tickets in two of the six sets are red.
(e) The tickets in two of the six sets are yellow.(6) Suppose that none of the ticket sets are purple. If all of the other conditions remain the same, then which one of the following statements could be true?
(a) None of the January tickets are green.
(b) None of the February tickets are green.
(c) None of the line 2 tickets are green.
(d) No line 1 or line 2 tickets are yellow.
(e) No line 2 or line 3 tickets are red.

Q13) Six friends, Amar, Amit, Ankit, Anuj, Abhinav, and Abhijeet, went shopping and each of them purchased a different item among a pair of Shoes, a Bag, a Shirt, a Mobile Phone, a Pen, and a Watch. Further it is also known that
(i) Ankit did not purchase either a pair of Shoes or a Bag, while Amar purchased a Mobile Phone
(ii) Abhinav did not purchase either a pair of Shoes or a Pen, while Anuj Purchased a Watch
(iii) neither Amit nor Abhijeet purchased either a Pen or a Bag(1) If Amit and Abhinav between themselves purchased a pair of Shoes and a Bag, what did Abhijeet purchase?
(a) Pen
(b) Shirt
(c) Watch
(d) Cannot be determined(2) What did Ankit Purchase?
(a) Pen
(b) Shirt
(c) Shoes
(d) Cannot be determined(3) Which of the following statements would be sufficient to determine which person purchased which item?
(i) Abhinav Purchased a Bag.
(ii) Abhijeet purchased a pair of Shoes
(iii) Ankit Purchased a Pen
(iv) Amit Purchased a Shirt
(a) (i), (ii) and (iii) together
(b) Both (ii) and (iv) together
(c) Both (iii) and (iv) together
(d) Either (ii) alone or (iv) alone(4) How many combinations of persons and the items that they purchased are Possible?
(a) 1
(b) 2
(c) 3
(d) 4

Q14) There is a colony in which each person knows how to speak in one or more of the three languages Dothraki, Elvish and Parseltongue. It is known that
 The number of people who speak only Dothraki, the number of people who speak only Elvish and the number of people who speak only Parseltongue form an arithmetic progression.
 Similarly, the number of people who know exactly two languages also form an arithmetic progression.
 The number of people who know all the three languages is onetenth of the number of people who know only Elvish, which in turn is twothirds of the number of people who know only Parseltongue.
 The number of people who know both Dothraki and Elvish is 15 and the number of people who know both Elvish and Parseltongue is 19.
 The number of people who know to speak in Parseltongue is 70 and the number of people who know how to converse in Dothraki is fewer than that.
What is the sum of all the values of the total number of people in the colony that could be possible?
How many people can converse in Dothraki and Parseltongue?
What is the maximum possible number of people who can understand Dothraki?
What is the number of people who know at least two languages?

Q15) Six dancers  Lakshmi, Madhumati, Rani, Rohini, Asha and Kriti perform six different dances: Kathakali, Kathak, Garba, Bharatnatyam, Kuchipudi and Western, not necessarily in the same order. They belong to six different states: U.P., M.P., Maharashtra, Orissa, Gujarat and Karnataka.
Following things are known about their choices:
Asha knows Kathak but does not belong to Gujarat and Maharashtra.
Rani and Kriti don’t know both Bharatnatyam and Kathakali, but belong to Karnataka and U.P. respectively.
Dancer from M.P. knows Kathak.
Lakshmi, Rani and Madhumati don’t know Garba or Western.
Rohini can perform Western while Lakshmi knows Bharatnatyam.
Lakshmi does not belong to Gujarat while Madhumati belongs to Orissa.(1) Kuchipudi is performed by
a. Rani
b. Rohini
c. Kriti
d. Madhumati(2) Rohini belongs to
a. Orissa
b. Maharashtra
c. Gujarat
d. None of these(3) Garba is performed by
a. Rani
b. Kriti
c. Rohini
d. Madhumati(4) Which of the following is definitely a false combination.
a. Rani–Kuchipudi–Karnataka
b. Lakshmi–Bharatnatyam–Maharashtra
c. Rohini–Western–Gujarat
d. Asha–Kathak–Orissa(5) Which of the following is definitely a true combination?
a. Rani–Garba–Karnataka
b. Kriti–Garba–M.P.
c. Lakshmi–Bharatnatyam–Maharashtra
d. Rohini–Western–Orissa

Q16) At a restaurant, a group of friends ordered four main dishes and three side dishes at a total cost of 89 Dollars. The prices of the seven items, in dollars, were all different integers, and every main dish cost more than every side dish. What was the price, in dollars, of the most expensive side dish given that the most expensive main dish cost 16 Dollars?

Q17) Nine people, who are identified by the letters A – I, are to travel to a picnic spot in three cars. One of the cars can hold two people, the second can hold three people and the last can hold four people. The following conditions apply:
(1) B will not sit with F, G, H or I
(2) G will insist on sitting with E
(3) A needs to sit in a car that has at least two other people
(4) D will not sit with C or E
(5) F will not sit with C or H
(6) I cannot sit in a car with three other people
(7) A would like to sit with I but not with C
(8) Both E and F do not sit in the smallest carQuestion 1: Who among the following does not sit with C?
(1) E
(2) G
(3) H
(4) A
(5) None of theseQuestion 2: Who among the following sits in the car with two seats?
(1) D
(2) F
(3) C
(4) H
(5) IQuestion 3: Which of the following options correctly depicts the list of people sitting in the car with four seats?
(1) C B D H
(2) A I G E
(3) C E G H
(4) A F I D
(5) None of theseQuestion 4: Who among the following sits in the car with three seats?
(1) D
(2) F
(3) H
(4) C
(5) None of these

Q18) In a family of seven people A, B, C, D, E, F and G there is exactly one pair of twins. B is younger than F but older than E, G and D. C is younger than E but older than A and D. G is younger than F and E. Which of the following can be the pair of twins?
(a) B, C
(b) A, E
(c) C, G
(d) F, G

@twishab28 these are from learningroots forum.
for CAT LR questions, you can refer  https://www.mbatious.com/tags/cat questions lr

@shashank_prabhu
I got the following:
Ross  San Francisco  Physiotherapy
Rachel  New York  Performance Arts
Joey  Paleontology
Chandler  Chicago  Transponster
Phoebe  Culinary Sciences
Monica  FashionUnsure about the cities for Joey, Phoebe and Monica

@shashank_prabhu Please can I get the solution to this one. Email id: [email protected]

@shashank_prabhu is the answer c??

@shashank_prabhu
1b
2c
3b
4d
5c

@shashank_prabhu
1b
2a
3d

(2) winterfell