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
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

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
Q28) The jailor of xyz had 6 fruits 3 oranges, 2 apples, and 1 pine apple. four prisoners101,102,103,104 are lined up one behind the other. the jailor helps them put the fruit on their head so that they cant see the fruit on their head.prisoner nuber 101 can see the fruit kept on heads of 102,103,104. prisoner number 102 can see fruit on 103 and 104 head. 103 can see fruit kept on 104's head. 104 cant see as no one is at the front of the line. now jailor asks prisoners to tell the name of fruit kept on their head. neither of the could reply.
what was the fruit on prisoners number 104's head?

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
Q29) Four students  Kali, Ranu, Dia and Dev  were asked the names of the heads of four labs  Alpha, Beta, Theta and Gama  in a college. The heads of these four labs are Mr. Hari, Mr. Karan, Mr. Ram and Mr. Arjun, in no particular order. Ranu named Mr. Ram as Alpha's head and Mr. Arjun as Theta's head. Both Kali and Dia named Mr. Hari as Gama's head. Kali didn't name Mr. Karan as Theta's head. No two students named the same person as the head in case of lab Beta. Dia and Dev named the same person as the head in case of exactly two of the four labs. No other pair of students, apart from Dia and Dev, named the same person as the head in case of these two particular labs. The person, who was named as the head of a different lab by each student, was identified correctly by Dev and it was Dev's only correct answer. Ranu gave exactly two correct answers
Who is the head of lab Alpha?
a Mr. Ram
b Mr. Arjun
c Mr. Hari
d Mr. KaranFor which lab did none of the students give the name of the correct head?
a Alpha
b Beta
c Theta
d GamaWhich student did not give any correct answer?
a Dia
b Kali
c Either (a) or (b)
d Both (a) and (b)

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
Q30) Find the rank of all the teams.


@hemant_malhotra box 2

@hemant_malhotra Raja

@KushalKhandelwal Correct.
Considering 1, 2 and 3 can lie at the same time without contradicting each other, 4 should have said the truth.
So 3 stole the wallet


 8 km
 11 km

@hemant_malhotra Thursday

@SupriyaShinde correct!
Mon  Chinki  Mumbai
Tue  Deepak  Chennai
Wed  Ajay  Kolkata
Thu  Bijay  Delhi

@hemant_malhotra
Is the answer:B

@hemant_malhotra
1)a
2)c