Question Bank (1)  Logical Reasoning  Hemant Malhotra

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q20) World’s top 200 tennis players took part in French open tournament and Wimbledon tournament. Among the players, who took part in singles or doubles events, 60% took part in doubles event and 50% took part in the French open tournament. Among those who participated in French Open tournament 60% took part in singles. 20% of the players took part in both singles and doubles events. Every player who participated in singles and double events of a tournament, has participated in both the events of the other tournament as well.
How many players took part in only Doubles?
a) 60
b) 40
c) 80
d) 100

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Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q21) In a colony, 100 persons visited U.S., 80 visited U.K. and 60 visited Canada. 100 visited at least two of the above three countries. 30 visited all the three countries. 50 visited none of the three countries. What is the number of persons in the colony?
a) 180
b) 210
c) 160
d) Cannot be determined.

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Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q22) Eight boys – A through H are seated around a circular table.
We know the following additional information.
(i) B is adjacent to neither D nor F.
(ii) D and F are opposite each other.
(iii) A is to the left of H.
(iv) H is neither opposite B nor adjacent to F.
(v) C and G are opposite each other.Who is sitting to the left of E?
a) F
b) A
c) B
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
Q23) Following information is known about four persons A, B, Q and P, standing at four different points.
(i) Both A and P are equidistant from B.
(ii) B, like A, is standing equidistant from both P and Q. However, distance from P to Q is twice the distance from A to B.1  If Q is to the north of A, then what is the direction of A with respect to B?
a) Southwest
b) South
c) Southeast
d) Cannot be determined2  If B is to the south of Q, then what is the direction of P with respect to Q?
a) South
b) North
c) Southwest
d) Cannot be determined3  If distance from B to P is 10km, then what is the distance from Q to A?
a) 10√2 km
b) 10 km
c) 10√3 km
d) 10/√2km4  Three of the following four are alike in a certain way and hence form a group. Find the one that does not belong to the group.
a) ABQ
b) QBA
c) ABP
d) APQ

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Director at ElitesGrid  CAT 2017  QA 100 Percentile / CAT 2016  QA : 99.94, LRDI  99.70% / XAT 2017  QA : 99.975
Q24) In the game shown below, 6 moves have been made. Maithli is playing with crosses (X) and Gautam with zeroes (0). However, we do not know who started the game.
Who will win this game?
(1) Maithli
(2) Gautam
(3) Cannot Be Determined
(4) Maithli starts the game, and Gautam wins
(5) Gautam starts the game and Gautam win

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
Q25) At the snack cafe at a party, Ali, Bina, Champak and Diya are eating cookies. There are five kinds of cookies to choose from  chocolate chip cookies, oatmeal cookies, sugar cookies, peanut butter cookies and raisin cookies. Each of these four people eats at least two kinds of cookies. Their choices are governed by the following rules :
 At most two of them eat oatmeal cookies
 At least two of them eat sugar cookies
 Ali does not eat any sugar cookies
 Bina and Champak do not eat the same type of cookies Bina eats chocolate chip cookies.
 Champak eats sugar cookies
 No one eats both raisin cookies and sugar cookies
 If someone eats raisin cookies, they also eat peanut butter cookies
Which one of the following must be true ?
(a) Champak eats chocolate chip cookies
(b) Ali eats chocolate chip cookies
(c) Bina does not eat peanut butter cookies
(d) Diya does not eat raisin cookiesIf Bina eats exactly three kinds of cookies, which one of the following must be true ?
(a) Champak eats exactly three kinds of cookies
(b) Diya eats only sugar cookies
(c) If Ali eats oatmeal cookies, Diya eats oatmeal cookies
(d) Champak eats oatmeal cookiesWhich one of the following cannot be true ?
(a) No one eats raisin cookies
(b) Ali and Diya both eat oatmeal cookies
(c) All and Diya both eat chocolate chip cookies
(d) Bina and Champak eat the same number of kinds of cookies.

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
Q26) In a matrimonial database of 30 girls, it is observed that only 12 of them are working, 19 of them are less than 23 years old and 25 of them never married before. It is also observed that there are 8 girls who never married before, but more than and equal to 23 years old and are not working anywhere. There are 2 girls, who are working, but married before and more than and equal to 23 years old. There is no such girl in the database, who has married before but not working.
What is the number of working girls listed in that database, who never married before?
(1) 5
(2) 6
(3) 7
(4) 8
(5) 9What is the number of nonworking girls listed in that database, who are less than 23 years old but never married before?
(1) 13
(2) 10
(3) 11
(4) 12
(5) cbd

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
Q27) Moiz has a machine into which he can put any number of one rupee coins. If he inserts n rupees, the machine returns 2n rupees. Each time he uses the machine, however, he must insert more money than he did on the previous use. If he starts with exactly Rs 1 and use the machine once, he will have Rs 2. On his next use of the machine, he is forced to insert Rs 2 yielding Rs 4, and on his third use of the machine, he can insert either Rs 3 or Rs 4 yielding a total of Rs 7 or Rs 8. The largest 2 digit integer Z such that it is impossible to obtain exactly Z rupees with the machine, starting with Rs 1 is