Question Bank (1)  Logical Reasoning  Hemant Malhotra

hemant_malhotra last edited by zabeer
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Number of Sets  30
Topic  Logical Reasoning
Answer Key available ?
Source  EliteGrid forum.

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q1) Suppose you are travelling in a train. There are only 4 other people in your berth. They are named 1, 2, 3 and 4. Your wallet is stolen. Assume that the wallet was stolen by one of these 4 people and that only 3 of them lie. Here are their statements:
1: 2 stole the wallet.
2: 3 didn't steal.
3: I didn't steal.
4: 3 stole your wallet.
Who actually stole your wallet ?

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q2) The faces of a cube are painted using six different colours. The following information is also known:
The red face is adjacent to the yellow and the face brown but they do meet at a corner.
The green face is adjacent to the silver face.
The silver and pink face are opposite each other.
The pink face is adjacent to the green face.
The bottom face is brown in color.
The face opposite the face coloured red is
a) Pink
b) Brown
c) Silver
d) Green

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q3) Four friends – Vikrant, Vikram, Jasneet and Saurabh – were born in four different months – January, March, July and December – of the same year, not necessarily in the same order. Each friend has a distinct surname among Joshi, Singh, Gupta and Agarwal, not necessarily in the same order.
It is also known that:
(i) Vikrant is younger than Gupta.
(ii) Jasneet was not born in December.
(iii) Saurabh, who is not the youngest, was not born in March.
(iv) Joshi is not the youngest and was also not born in January.
(v) Vikram was born before Vikrant but after Agarwal.
(vi) Agarwal was not born in January.1  Who among the four friends is the youngest?
(a) Vikrant Singh
(b) Vikram Gupta
(c) Vikrant Joshi
(d) Cannot be determined2  Who among the four friends was born in March?
(a) Saurabh Gupta
(b) Vikram Gupta
(c) Jasneet Agarwal
(d) Cannot be determined

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q4) A survey was conducted among 100 investors to ask about their investment mode among Equity market, Mutual funds and Property investment.
I. 25 investors don’t invest in any of three modes.
II. 3 investors invest in all three modes of investments.
III. 48 investors invest in property or equity market but don’t invest in mutual funds.1  How many investors invest in mutual funds but don’t invest in all the three modes?
a) 17
b) 19
c) 24
d) 272  21 investors invested in atleast two modes. How many investors invested in only one mode of investment?
a) 30
b) 36
c) 54
d) 623  How many investors invested in mutual funds? (Refer previous questions if needed)
a) 17
b) 19
c) 27
d) Data insufficient.

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q5) There are three balls – one Red, one Yellow and one Blue. Each ball is to be placed in a box among Box1, Box2 and Box3 such that there is exactly one ball in each of the three boxes.
It is also known that:
(i) If the Red ball is placed in Box1 then the Blue ball cannot be placed in Box3.
(ii) If the Yellow ball is placed in Box3 then the Blue ball cannot be placed in Box2.
(iii) If the Red ball is placed in Box3 then the Yellow ball cannot be placed in Box2.
(iv) If the Blue ball is placed in Box1 then the Yellow ball cannot be placed in Box3.
(v) If the Yellow ball is placed in Box1 then the Blue ball cannot be placed in Box3.The Blue ball is placed in which box?
(a) Box1
(b) Box2
(c) Box3
(d) Cannot be determined

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q6) Each of the four friends – Raja, Ram, Mohan and Roy – owns a distinct car among Matiz, Optra, Palio and Santro. It is known that there is exactly one among the four friends who never speaks the truth. The rest three always speak the truth. Each of the four friends made two statements as given below.
Raja: Ram owns Matiz. Mohan doesn’t own Palio.
Ram: Roy owns Santro. Mohan doesn’t own Optra.
Mohan: Roy owns Palio. Raja doesn’t own Optra.
Roy: Raja owns Santro. Mohan owns Optra.Who among the four friends owns Santro?
(a) Raja
(b) Ram
(c) Mohan
(d) Roy

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q7) Five people  Pradeep, Qureshi, Ram, Sarath and Tony  are standing in a queue to buy tickets. Only four tickets are available, which are just enough for the first four persons in the queue, who will get one ticket each. If Pradeep is the first person rin the queue, then Sarath is the last person in the queue. If Qureshi gets a ticket, then Ram is the third person in the queue. If Tony gets a ticket, then he is the third person in the queue. If Ram gets a ticket, then Sarath is the second person in the queue. If Qureshi gets a ticket, then Pradeep gets a ticket, and Ram is immediately behind Sarath.
Who is the fourth person in the queue?
a) Pradeep
b) Qureshi
c) Ram
d) Cannot be determined

hemant_malhotra last edited by hemant_malhotra
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q8) Five people – Amir, Bimal, Chatur, Deepak and Ehsan – are standing in a row facing East.
It is also known that:
(i) Amir is standing adjacent to neither Bimal nor Ehsan.
(ii) Chatur is standing to the immediate left of Amir.
(iii) Either Bimal or Ehsan, but not both, is standing at one of the ends.
(iv) Ehsan is standing to the right of Chatur.Who among the five is standing in the middle of the row?
(a) Amir
(b) Chatur
(c) Deepak
(d) Either Bimal or Ehsan

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q9) Seven people – Ajit, Bina, Cara, Diya, Esha, Fiza and Gauri – live in a fivestoried building, starting with the first floor. At least one of the seven people lives on each floor.
It is also known that:
(i) Diya lives alone on a floor which is above Esha’s floor but below Gauri’s floor.
(ii) More people live on Bina’s floor as compared to the one just below it.
(iii) Cara and Fiza live on the floor which is just below the one in which Ajit lives alone.If Esha doesn’t live on the first floor, then for which of the following floors is the number of occupants more than
one?
(a) Third
(b) Fourth
(c) Fifth
(d) Cannot be determined

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q10) Sharma Jee wants to buy a book and is confused between four novels of different genres  mystery, horror, comedy and thriller. The novels are written by Lalu, Monu, Nonu and Ovattio and published by Purshottam, Quattchori, Rajveer and Sarkar, not necessarily in the same order. The horror novel is published by Quattchori and the thriller novel is written by Nonu. Each novel is written by a different author and published by a different publisher. It is also known that Lalu and Monu get their books published by Purshottam or Quattchori only.
1  If the mystery novel is written by Ovattio then who can be the publisher of the comedy novel?
(a) Purshottam or Quattchori
(b) Only Purshottam
(c) Purshottam or Rajveer
(d) Purshottam or Rajveer or Sarkar2  How many combinations of publisher and author are possible for the mystery novel?
(a) 6
(b) 3
(c) 4
(d) 5

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q11) Seven Hockey teams A, B, C, D, E, F and G participated in a tournament. Each team played with every other team twice and D won all of its games and F lost all of its games. B and G scored equal points and are ahead of C. C, A and E also scored equal number of points. Each team gets 3 points, 1 point and no point for a win, draw and loss respectively.
What is the highest possible number of points that can be scored by team A?
a. 14
b. 15
c. 16
d. 17

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Total number of matches = 42
total points without draw = 42*3 = 126
with draw point reduces by 1
bcz winlose  point distribution=3draw draw= point distribution=2
Let the total points of A,C,E be a and that of B and G be b
3a + 2b + 36 = Total points [ also a< b ]
Total points can be 126 or 125 or 124 and so on
But our objective is to maximize a we have to take value of total as high as possible.
3a + 2b = 126 then max = 16
but if we take 3a + 2b = 125 then max(a) = 17
so 17

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q12) In a city there are three bus routes 1, 2 and 3 between A and F. Route 1 has intermediate stops at B and D. Route 2 has stops at C and D. The shortest route3 with a length of 10 km, stops at C only, which is exactly at he middle of this route. The longest route has 3 km more length than the shortest one. The distances between C and D, B and D and F and D are 4, 3 and 2 kilometers respectively.
1  What is the distance between A and B?
(1) 5 km
(2) 6 km
(3) 7 km
(4) 8 km2  What is the length of route2?
(1) 11 km
(2) 12 km
(3) 13 km
(4) Insufficient information

hemant_malhotra last edited by hemant_malhotra
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q13) In Chorenagar, a shop was looted in daylight. The shopkeeper lodged FIR. During the course of investigation, Police found that only four persons Andy, Bijy, Chanki and Danby visited the shop on that day, not necessarily in the same order. Each of them had a different profession among Lawyer, Electrician, Doctor and Inspector. Later on it was also asserted that one of them was the looter.
It is also known that:
I. Only one person visited between Andy and Danby and he was not the looter.
II. The Doctor was not the last person to visit the shop.
III. Chanki visited the shop immediately after the electrician.
IV. The looter visited the shop after at least two persons.
V. The Electrician, the Lawyer and Danby visited the shop successively in the same order.
VI. Chanki and Doctor did not visit the shop one after another.1  Which of the following statements is true?
(a) Bijy was not the first to visit the shop.
(b) Chanki was second to visit the shop.
(c) The Lawyer visited the shop immediately before the electrician.
(d) Doctor was the first to visit the shop.2  Who looted the shop?
(a) Doctor
(b) Electrician
(c) Lawyer
(d) Inspector3  Which of the following is correct order of their visit to the shop starting from the first person?
(a) Doctor, Electrician, Lawyer, Inspector
(b) Electrician, Doctor, Inspector, Lawyer
(c) Inspector, Lawyer, Doctor, Electrician
(d) None of these

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q14) Four persons – Ajay, Bijay, Chinki and Deepak – visited four cities – Delhi, Mumbai, Kolkata and Chennai – on four different days from Monday to Thursday, not necessarily in that order.
It is also known that:
I. First letters of the name of the person and city visited by him were not same.
II. Ajay visited Kolkata on the day immediately after the day of Deepak's visit but not on Thursday.
III. Chinki neither visited Delhi nor on Wednesday or Thursday.On which day Bijay's visit took place?
a. Monday
b. Tuesday
c. Wednesday
d. Thursday

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q15) In a group of five persons – A, B, X, Y and Z – A and B are shorter than X. Y is shorter than A, but not the shortest among the five. If Z is taller than exactly two persons, then which of the following statement(s) is/are true?
I. X is the tallest and B is the shortest.
II. Z is shorter than A.
III.Y is taller than Z.a. Only I
b. I and II
c. II and III
d. All the three

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q16) Six persons ¬ Bimal, Kamal, Vimal, Amal, Parimal and Umal arrived at a party at different timings. They sat in six seats placed in a row.
It is also known that
(i) Parimal sat to the immediate left of Kamal.
(ii) The person who was the third to arrive at the party is at the extreme right.
(iii) Amal is not to the extreme left and among the people who are to his right only one person came before him.
(iv) Umal is 5 from extreme right and he is not the first or the last person to come.
(v) There is only one person between the person who came first and the person who came last and Bimal is the first person to come.
(vi) All the persons who sat to the left of Vimal, who is not to the extreme left, came before him.1  Who was the last person to arrive at the party?
a) Umal
b) Bimal
c) Vimal
d) Cannot be determined2  Who is the person who sat 3 from extreme left?
a) Amal
b) Vimal
c) Bimal
d) Parimal3  Who is the 4 person to arrive at the party?
a) Amal
b) Umal
c) Kamal
d) Either Amal or Kamal

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q17) Mr. Baha Man had locked his pet dogs in his room and instructed his three sons – Woof, Arf and Grrr – to keep a watch over them while he was away. When he came back, he found that there were no dogs in the room. When he came to know that exactly one of his sons had let the dogs out, he angrily shouted at them, “WHO LET THE DOGS OUT?” Frightened, each son gave two replies to the question, as given below:
Woof : Arf did. Grrr didn’t.
Arf : I didn’t. Woof did.
Grrr : Woof didn’t. Arf didn’t.If it is known that of the statements given by each son at least one was true, then which son let the dogs out?
a) Woof
b) Arf
c) Grrr
d) Cannot be determined

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q18) A family consists of eight members – J, K, L, M, N, O, P and Q, in which there are persons belonging to three generations and three married couples. The number of males is equal to the number of females. N and O are cousins and L is the father of O, O is the nephew of P. K, who is the only child of his parents, is M’s brother¬in¬law. J and P are of different gender.
1  How is N related to M?
a) Daughter
b) Daughter¬in¬law
c) Niece
d) Son2  How is Q related to O?
a) Grandson
b) Grandmother
c) Mother
d) Cannot be determined3  How is J related to K?
a) Son¬in¬law
b) Father¬in¬law
c) Father
d) Cannot be determined4  Which among the following is definitely true?
a) Q is the mother of K.
b) J is the father of L.
c) M is the Aunt of N.
d) None of these

hemant_malhotra last edited by
Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q19) Eight persons – A through H are sitting around a circular table. Neither A nor G sits adjacent to B or D. Neither B nor D sits opposite A or G. Neither A nor G sits adjacent to E or F. If D is sitting opposite H, who is sitting to the right of A, then who is sitting between G and D?
a) H
b) C
c) B
d) Cannot be determined