Question Bank  Logical Reasoning

B B B W W
3 got B and 2 got W.
every B will see 2 B and 2 W. Can any of the B, figure out if they are wearing B or W? It can be anything.
However, one wearing W, will see 1W and 3B, so they know, they had to be wearing W to make it atleast 2.
Only two people will know for sure their own hat colour.

Q17) Motilal, Nakul, Ojal, Pankaj and Rajiv, whose hometowns are Aamgarh, Jamgarh, Ramgarh, Shangarh and Wangarh, not necessarily in the same order, are standing in a queue to buy bus tickets to go to their respective hometowns. The ticket price (in ) for each of them is a different integer among 11, 12, 13, 14 and 15.
It is also known that:
The first person in the queue pays 14 for the ticket. He is not Pankaj.
The persons who pay 11 and 15 for the tickets are from Ramgarh and Jamgarh respectively.
The ticket of Ojal, who is standing between Nakul and Rajiv, is cheaper than that of exactly three persons.
Ojal is from neither Aamgarh nor Wangarh.
The person standing immediately in front of Motilal is from Ramgarh and the one immediately behind Motilal is from Wangarh. Pankaj, who is not from Jamgarh, pays more for the ticket than Nakul, who is not from Aamgarh.Whose hometown is Wangarh?
(a) Motilal
(b) Nakul
(c) Pankaj
(d) Rajivwhich of the following is the correct order of the ticket prices for Motilal, Nakul, Ojal, Pankaj and Rajiv respectively?
(a) 14, 11, 12, 13 and 15
(c) 13, 14, 12, 11 and 15
(b) 15, 11, 12, 13 and 14
(d) None of theseFrom the front of the queue, what are the positions of Motilal and Nakul respectively?
(a) 2nd and 3rd
(b) 2nd and 4th
(c) 4th and 3rd
(d) 3rd and 4
[OA: CBC]

Q18) Four friends – F1, F2, F3 and F4 – visited the New Delhi World Book Fair 2012. Each of them bought a different book among Magic Island, Fragmented Frames, Unlikely Hero and Eternal Romantic. They unanimously decided that each of them would read all the four books in the next four weeks such that each person would read exactly one book in a week, and they would meet at the end of each of the first three weeks to redistribute the books. It is also known that:
(i) F3 was the first one to read Fragmented Frames, and F1 was not the last one to read the same.
(ii)The first book read by each of the four friends was not the one which he/she had bought.
(iii) The 2nd and the 3rd books read by F2 were Eternal Romantic and Fragmented Frames respectively.
(IV) The 3rd book read by F4 was Unlikely Hero. The last book read by F3 was Eternal Romantic.
(V) The last person who read Magic Island was not F2.Who among the following did certainly not buy Magic Island?
(a) F1
(b) F4
(c) F2
(d) F3Which was the first book read by F1?
(a) Unlikely Hero
(b) Magic Island
(c) Eternal Romantic
(d) Fragmented Frames
[OA: C, A]

Q19) I was visiting a friend one evening and remembered that he had three daughters.
I asked him how old they were. "The product of their ages is 72," he answered.
Quizzically, I asked, "Is there anything else you can tell me?"
"Yes," he replied, "the sum of their ages is equal to the number of my house."
I stepped outside to see what the house number was.
Upon returning inside, I said to my host, "I'm sorry, but I still can't figure out their ages."
He responded apologetically, "I'm sorry, I forgot to mention that my oldest daughter likes strawberry shortcake."
With this information, I was able to determine all three of their ages. How old is each daughter?[OA: 8, 3, 3]

Q20) There are five houses in a row, each of a different color, and inhabited by 5 people of different states, with different pets, favorite drinks, and favorite sports.
The Maharashtrian lives in the red house.
The Rajasthani owns the dog.
Coffee is drunk in the green house.
The Bihari drinks tea.
The green house is immediately to the right of the white house.
The hockey player owns a Cat.
The football player lives in the yellow house.
Milk is drunk in the middle house.
The Punjabi lives in the first house on the left.
The table tennis player lives in the house next to the man with the Camel.
The football player lives next to the house where the horse is kept.
The basketball player drinks orange juice.
The person from MP likes Cricket.
The Punjabi lives next to the blue house.The Punjabi plays which sport?
a. Table tennis
b. Football
c. Cricket
d. HockeyWho drinks orange juice?
a. Punjabi
b. Maharashtrian
c. Bihari
d. RajasthaniWho lives in the red house?
a. MP
b. Punjabi
c. Maharashtrian
d. Rajasthani
[OA: Football, Rajasthani, Maharastrian]

Q21) X, Y and Z are playing a game. There are certain number of matchsticks on a table. Each person has to pick up one matchstick and at most two matchsticks. The person who picks up the last matchstick losses.
X, Y and Z play in that order one after the other, starting with X, till all the match sticks are picked up. Each person plays such that, to the extent possible, he does not lose even if the other two players collude.
How many match sticks should X and Y respectively pick, in their first chance, so that Z is certain to lose if X and Y play with common objective of making Z lose? There were 7 matchsticks to start with.
a. (1, 1)
b. (1, 2)
c. (2, 1)
d. (2, 2)If there are 5 matchsticks at some point of time in the game, and you are told that Y later lost the game, then whose turn was to pick up matchsticks at that point of time?
a. X
b. Y
c. Z
d. Cannot be uniquely determinedWhat is the smallest number of matchsticks greater than 5 at the beginning, that would ensure that Z will lose given that X and Y work towards making Z lose?
a. 7
b. 8
c. 9
d. 6

Q22) Sharma Ji 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.
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 SarkarHow many combinations of publisher and author are possible for the mystery novel?
(a) 6
(b) 3
(c) 4
(d) 5
[OA: B, C]

Q23) Eight floors in a building (from 1 to 8) are occupied by A, B, C, D, E, F, G and H, with each person occupying a distinct floor. Further it is known that:
 A lives 5 floors above B.
 H lives on the only floor between C and E.
 D and F live on adjacent floors.
 B does not live on the 1st floor.
‘N’ is defined as the difference between the floor numbers of C and D.
How many different values of ‘N’ are possible?
(a) 4
(b) 8
(c) 6
(d) 5[OA: D]

N = 2, 3, 4, 5 and 6 => 5 values

Q24) There are 5 pirates in a ship. Pirates have hierarchy C1, C2, C3, C4 and C5. C1 designation is the highest and C5 is the lowest.
These pirates have three characteristics :
a. Every pirate is so greedy that he can even take lives to make more money.
b. Every pirate desperately wants to stay alive.
c. They are all very intelligent.There are total 100 gold coins on the ship. The person with the highest designation on the deck is expected to make the distribution. If the majority on the deck does not agree to the distribution proposed, the highest designation pirate will be thrown out of the ship (or simply killed). Only the person with the highest designation can be killed at any moment. What is the right distribution of the coins proposed by the captain so that he is not killed and does make maximum amount?

Q25) Pool A of the European Cup qualifying matches has eight countries – Austria, Bulgaria, Czech Republic, Denmark, England, France, Germany and Spain. In the first round, each of these countries plays a match with every other country. In every match, the winning country is awarded 10 points, the losing country is awarded 0 points and in case of a draw, each of the countries is awarded 5 points. The top three countries, in terms of points, will advance to the next round. After the first round, it was observed that:
The number of matches won by Austria was a perfect square, while exactly two of her matches ended in a draw.
Bulgaria won exactly two of her matches and lost her matches against Austria and Spain.
France lost exactly three of her matches. Each country lost at least one match and six matches ended in a draw.
The sum of points won by Austria and twice the points won by the Czech Republic equal four times the points won by Bulgaria.
The difference between the points won by Austria and England equals the difference between the points won by Bulgaria and Denmark.
The sum of the points won by Spain and five times the points won by France equals the sum of points won by Denmark and six times the points won by Germany.
The sum of points won by Bulgaria and twice the points won by the Czech Republic equals twice the points won by Austria.
Six times the points won by Germany equals seven times the points won by Spain.How many points did England score?

A: 50(4W  2D  1L)
B: 30(2W  2D  3L)
C: 35
D: 20
E: 280  240 = 40 (Total matches=28, Total points = 280)
F: 40(4W  0D  3L)
G: 35
S: 30

Q26) In a group of ten students – A, B, C, D, E, F, G, H, I and J – each pursuing Phd, every student has chosen two subjects – one as a compulsory subject from among History, Chemistry, English and Politics and the other as an optional subject from among Economics, History, Geography and Sociology. Each of the compulsory subjects was chosen by a different number of students, which is at least one, and the same is true for the optional subjects. Further it is also known that:
 Three students have chosen History as their compulsory subject and each of these students has chosen a different optional subject but none of them has chosen Sociology. I has chosen History as both of his/her subjects.
 Both D and H have chosen English as their compulsory subject and this is the only pair of students in which both the students have chosen the same compulsory subject as well as same optional subjects, which is different from the compulsory subject. A has chosen the same optional subject which has been chosen by both D and H as their optional subject.
 Maximum number of students have chosen History as their optional subject. No two students who have chosen History as their optional subject have the same compulsory subject.
 E has chosen English as his/her compulsory subject and Economics as the optional subject.
 No one has chosen the same optional subject which B has chosen as optional subject. B and C have chosen the same compulsory subjects while G and A have chosen different compulsory subjects.
 C and F have chosen different compulsory subjects as well as optional subjects. C has chosen Economics as his/her optional subject.
 F and G have chosen different compulsory subjects but the same optional subjects. G has chosen Politics as his compulsory subject.
How many students have chosen Geography as the optional subject?

Q27) Four friends – F1, F2, F3 and F4 – visited the New Delhi World Book Fair 2012. Each of them bought a different book among Magic Island, Fragmented Frames, Unlikely Hero and Eternal Romantic. They unanimously decided that each of them would read all the four books in the next four weeks such that each person would read exactly one book in a week, and they would meet at the end of each of the first three weeks to redistribute the books. It is also known that:
(i) F3 was the first one to read Fragmented Frames, and F1 was not the last one to read the same.
(ii) The first book read by each of the four friends was not the one which he/she had bought.
(iii) The 2nd and the 3rd books read by F2 were Eternal Romantic and Fragmented Frames respectively.
(iv) The 3rd book read by F4 was Unlikely Hero. The last book read by F3 was Eternal Romantic.
(v) The last person who read Magic Island was not F2.Who among the following did certainly not buy Magic Island?
(a) F1
(b) F4
(c) F2
(d) F3Which was the first book read by F1?
(a) Unlikely Hero
(b) Magic Island
(c) Eternal Romantic
(d) Fragmented Frames

Q28) Each of the eight players – CG, VK, ST, RP, MSD, VS, AF and GG –represented a different team among RCB, HS, MI, DD, CSK, PW, KKR and RR (not necessarily in that order) in a cricket tournament called PPL. Each of them got to play exactly one match in the tournament. The number of runs scored by each of the eight players in the tournament was distinct. The same was true for the number of balls faced by them.
It is also known that :
(i) The player from DD who scored 28 runs off 33 balls was neither VK nor ST.
(ii) AF, who scored 22 runs, represented neither RCB nor HS.
(iii) The player who represented MI scored 23 runs off 19 balls.
(iv) VS, who represented PW, faced 7 balls.
(v) The number of balls faced by MSD was equal to the average number of runs scored by VK and RP. (
vi) GG, who represented RR, scored 17 runs.
(vii) CG represented RCB.
(viii) VK did not represent MI.
(ix) MSD scored more than 50 runs.Who among the following could represent HS?
a) AF
b) RP
c) VK
d) STIf VK scored 24 runs, what was the number of balls faced by MSD?
a) 26
b) 23
c) 20
d) Cannot be determinedIf MSD represented KKR, for how many other players is it possible to find out the team which they represented?
a) 4
b) 5
c) 6
d) 7

Q29) A machine recognises inputs only in the form of a string of bits to produce the products. It reads the string of bits from left to right. A bit could be only of two forms 0 or 1.
An input of 0 starts the machine if it is in the stop state and stops the machine if it is in the start state. Input of 1 is given to produce the product, only when the machine is in the start state. Otherwise, 1 is rejected by the machine. At the end of the day, machine should be stopped. If machine was in stop state initially, which of the following input strings is not valid for the day?
(1) 011100100111111001110
(2) 00011110101111101010
(3) 00110111100101010101010
(4) 0110110110110110110110An input of 0 starts the machine if it is in the stop state and stops the machine if it is in the start state. Input of 1 is given to produce the product, only when the machine is in the start state, otherwise machine would not accept the input. If the machine was in stop state initially, in which of the following
options, the machine does not accept atleast one input?
(1) 011100110011100101110010
(2) 01100111100100100111100
(3) 01001001110010000001001
(4) 00010010011001110010010There was a demand of products of two different kinds – product A and product B. To achieve this objective, the machine was configured to read two bits at a time. An input of 00 starts the machine, input of 01 produces a unit of product A, input of 10 produces a unit of product B and input of 11 stops the machine. The machine can produce the products only in its start state. Otherwise, it would just discard the input. It would also discard the input for stop or start if it is already in that state. Out of the following, the inputs that would produce more units of product A than product B are:
I. 00101010101010101010111101100110000101010101
II. 00110101001000010010010000011000001111101010
III. 00111000010101000101100100010010110011101100
(1) I and III only
(2) I and II only
(3) I only
(4) III onlyWith increasing demand in variety, the management decides to produce 1800 different kinds of products with the same machine. A unique input should specify the production of each of the products, apart from two different unique inputs asking machine to start and stop respectively. The machine should be configured to read at least how many bits at a time to achieve this objective?
(1) 10
(2) 11
(3) 901
(4) None of these

Q30) On a particular day, exactly six persons – Amar, Bhanu, Chetan, Dinesh, Gaurav and Jitesh – visited a doctor for consultation, not necessarily in the same order. Each person paid a different amount to the doctor as consultation fee and each person consulted the doctor at a different time. At the end of the day, the doctor noticed that, except for the first two persons, the rest of the persons paid a consultation fee, which was equal to the average of the consultation fees paid by the previous two persons.
The following information is known about the fees paid and the order in which they consulted the doctor:
The consultation fee paid by each person (in Rs.) was not necessarily an integer and no person paid more than Rs.2500.
Bhanu paid Rs.1000, which was the lowest among all the six persons, and she consulted the doctor immediately before Gaurav, who did not pay the highest amount.
Amar paid Rs.100 more than Dinesh, who consulted the doctor before both Amar and Jitesh.What is the highest amount (in Rs.) paid for consultation by any of the six persons?
Who was the last person to consult the doctor?
What is the total amount paid by all the six persons combined?
Who among the six persons paid the second lowest amount for consultation?

@venkateshp A5S+T
C4S
B3+2T
D2S
OR
A5S+3T
B4S
C3S
D2
OR
A5S+2TB4S+T C3S D2
PLS TELL HOW IS C BEING FIXED AT 3.

Solution:
To understand the answer,we need to reduce this problem to only 2 pirates. So what happens if there are only 2 pirates. Pirate 2 can easily propose that he gets all the 100 gold coins. Since he constitutes 50% of the pirates, the proposal has to be accepted leaving Pirate 1 with nothing.Now let’s look at 3 pirates situation, Pirate 3 knows that if his proposal does not get accepted, then pirate 2 will get all the gold and pirate 1 will get nothing. So he decides to bribe pirate 1 with one gold coin. Pirate 1 knows that one gold coin is better than nothing so he has to back pirate 3. Pirate 3 proposes {pirate 1, pirate 2, pirate 3} {1, 0, 99}. Since pirate 1 and 3 will vote for it, it will be accepted.
If there are 4 pirates, pirate 4 needs to get one more pirate to vote for his proposal. Pirate 4 realizes that if he dies, pirate 2 will get nothing (according to the proposal with 3 pirates) so he can easily bribe pirate 2 with one gold coin to get his vote. So the distribution will be {0, 1, 0, 99}.
Smart right? Now can you figure out the distribution with 5 pirates? Let’s see. Pirate 5 needs 2 votes and he knows that if he dies, pirate 1 and 3 will get nothing. He can easily bribe pirates 1 and 3 with one gold coin each to get their vote. In the end, he proposes {1, 0, 1, 0, 98}. This proposal will get accepted and provide the maximum amount of gold to pirate 5.
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