Question Bank - Logical Reasoning
Q11) A coding system performs following operations on the alphabets. C0 = A letter at position odd is substituted with the next letter while the letter at even position is substituted with previous letter. After the substitution, the whole word is written in reverse order. For example coding of the word INDIA will be as follows: I substituted with J, N with M and so on to form the word JMEHB and then the word is written in the reverse order to form BHEMJ.
Cn for n = 1,2,3…… the operation is that every letter is written with n steps ahead. For example ASIA when performed with C1 will be BTJB and then it will also be written in reverse order to form the word BJTB.
- What will be the code of the word MADAM if the operations C0 and C3 are performed?
- If operations C0,C1,C3 are performed the word becomes IRFKIL. What is the original word?
[Answer - 1) QCHCQ 2) GFFCMF]
Q12) There are two parts in a question paper. Part A has 5 questions, each questions fetches either +2 or 0. Part B has 4 question each question fetches either +10 or 0 and +5 if partly correct.
Which of the following score is not possible to achieve in the paper?
A student scores 41 marks in all. How many questions has he attempted atleast?
A, B, C and D are four students what can be the maximum difference between the scores of (A + B) and (C + D).
1 - D
2 - 7
3 - 100
Q13) A group of 75 people, were surveyed in 2015 and number of Laptops, Tablets and Smart Phones possessed by them were counted.
- The number of people having only one of these, only 2 of these and only 3 of these are in the ratio 3 : 2 : 1.
- Number of people having only Laptop is same as those having only Smart Phone which is one less than the number of people having all the three gadgets.
- All those who have Laptop and Tablet have Smart phone as well.
- Number of people having Laptop an Tablet is 10. These people were surveyed again in 2016 and it was found that the number of people own Laptop increased by 50% and those owning tablets by 60%.
The number of people having Smart Phone in 2015 are
Find difference between some of all possible values of No of people having both smart phone and laptop but not tablet and no of people having both smart phone and tablet but no laptop.
[OA: 39 , 8]
Q14) A five star hotel is hosting a Conference that has nine sessions Analytics, Business Intelligence, Communication, Decision Analysis, Finance, Marketing, Organisation Behaviour, Project Management and Strategic Management. The time for each session is fixed – however the management has to work out the requirements of rooms and it is known that the timing of some sessions overlap. While all available rooms are of the same capacity that is any session can be arranged in any room. Following is known about the overlaps of the sessions 1. Session A overlaps with M,O and S 2. Session B overlaps with C,F,O and P 3. Session C overlaps with D,F,O and P 4. Session D overlaps with F and P 5. Session O overlaps with P
The minimum number of rooms required to hold the conference is (a) 2 (b) 3 (c) 4 (d) 5
If only two rooms are available which of the following sessions if removed – the conference can take place (a) Session C or P
(b) Session F or M
(c) Session C and P
(d) Session D and P
[OA: C, C]
Q15) Four experts (E1, E2, E3 & E4) rated three features (F1, F2, F3) each for two products (P1 & P2) giving integer ratings between 1 and 10.
Table 1 lists a triplet each comprising minimum, average and maximum rating for each feature across products.
Table 2 lists the minimum and maximum rating given by each expert to individual products across features.
Table 3 lists average of ratings given to each feature by each expert across products.
How many points E2 gives to P1 in F2
How many points E3 gives to P2 in F3
What is the average of rating given by E1 to P1 in all 3 features.
sum of all the ratings given by E2.
[OA: 1 - 4, 2 - 7, 3 - 5.33, 4- 35]
This is a difficult set and video question is available in reply section.
Q16) Five men are sitting around a circular table in such a way that all of them can see each other. Each of these five men is wearing a hat the colour of which is not known to him. However, all of them are aware that the hats have to be either black or white in colour and there are at least two hats of each colour. How many of them can deduce the colour of their hats if they are not allowed to communicate with each other?
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?
which 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 these
From 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
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?
Which 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
Who drinks orange juice?
Who lives in the red house?
[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?
d. Cannot be uniquely determined
What 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?
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 Sarkar
How many combinations of publisher and author are possible for the mystery novel?
[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?
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)
E: 280 - 240 = 40 (Total matches=28, Total points = 280)
F: 40(4W - 0D - 3L)
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?