Linear Arrangements CAT PYQs , 76 Questions with Solutions

How many such pairs of digits are there in the number 8314629, each of which has as many digits between them in the number as after arranging the digits in descending order?

There are six spherical balls, B1, B2, B3, B4, B5, and B6, and four circular hoops H1, H2, H3, and H4.

Each ball was tested on each hoop once, by attempting to pass the ball through the hoop. If the diameter of a ball is not larger than the diameter of the hoop, the ball passes through the hoop and makes a "ping". Any ball having a diameter larger than that of the hoop gets stuck on that hoop and does not make a ping.

The following additional information is known:

1. B1 and B6 each made a ping on H4, but B5 did not.
2. B4 made a ping on H3, but B1 did not.
3. All balls, except B3, made pings on H1.
4. None of the balls, except B2, made a ping on H2.

Pointing towards a lady in the picture, Purnima said "She is the mother of Neha whose father is my son." How is Purnima related to the lady in the picture?

A cat runs 20 metres towards East and turns to right, runs 10 m and turns to right, runs 9 m and turns to left, runs 5 m and turns to left, runs 12 m and finally turns to left and runs 6 m. Now, which direction is the cat facing?

Arrange the following words in a meaningful sequence and choose the most appropriate sequence from the given alternatives.

A. Puberty B. Adulthood C. Childhood D. Infancy E. Adolescence

Choose the correct answer from the options given below:

In a row of boys facing the north, A is 16th from the left and C is 16th from the right end. B who is 4th to the right of A, is 5th to the left of C in the row. How many boys are there in the row?

Miss 'Lilly' started her journey from her house and goes 2 km straight. Then, she turns towards her right and goes 1 km. She again turns towards her right and goes 1 km again. If finally she is in the north-west direction from her house, then in which direction did she go in the beginning?

Arrange the following words in a meaningful sequence and choose the most appropriate sequence from the given alternatives.

(A) Rain (B) Monsoon (C) Rescue (D) Flood (E) Shelter (F) Relief

Mr. X starts walking from his house towards west. After walking a distance of 30 metres, he turned towards right and walked 20 metres. He then turned left and moving a distance of 10 metres, turned to his left again and walked 40 metres. He now turns to the left and walks 5 metres. Finally he turns to his left. In which direction is he walking now?

Raj travelled from a point X straight to Y at a distance of 80 metres. He turned right and walked 50 metres, then again turned right and walked 70 metres. Finally, he turned right and walked 50 metres. How far is he from the starting point

Read the following information carefully and answer the questions that follow: (i) There is a group of five friends. (ii) Keshav is second in height but younger than Rekha. (iii) Parul is taller than Megha but younger in age. (iv) Rekha and Megha are of the same age but Rekha is tallest between them. (v) Nikku is taller than Parul and elder to Rekha.

There are four Trees: Lemon, Coconut, Mango and Neem, each at a different corner of a rectangular plot. A well is located at one corner and a cabin at another corner. Lemon and Coconut trees are on either side of the gate, which is located at the centre of side, opposite to the side, extremes of which the well and cabin are located. The mango tree is not at the corner where the cabin is located. Which of the following pairs can be diagonally opposite to each other in the plot?

Select the combination of numbers so that letters arranged accordingly will form a meaningful word. R A C E T 1 2 3 4 5

Seeta and Geeta start moving towards each other from two places 200 m apart. After walking 40 m, Geeta turns left and goes 15 m, then she turns right and goes 25 m. She then turns right again and comes back to the road on which she had started walking. If Seeta and Geeta walk with the same speed, what is the distance between them now?

At sunrise, Ajay and Vijay are having a conversation standing in front of each other. The shadow of Vijay is formed towards the right hand of Ajay. What direction is Vijay facing?

In a row of girl students facing north, Radhika is 10th to the left of Purnima who is 21st from the right end. If Monika who is 17th from the left end is 4th to the right of Radhika, how many students are there in the row?

Arrange from bottom to top

1. Knees
2. Elbow
3. Head
4. Toungue
5. Neck
6. Foot

Find logically correct sequence.

1. Pune
2. Aga Khan Palace
3. World
4. India
5. Maharashtra

Read the following information carefully and mark the correct answer to the questions given below Sampada Apartment is a housing society formed by a group of professors of a University. It has six flats on a floor in two rows facing North and South which are allotted to Prof. Purohit, Prof. Qureshi, Prof. Rathor, Prof. Sawant, Prof. Tripathy and Prof. Usman. Prof. Qureshi gets a North facing flat and it is not next to Prof. Sawant's flat. Prof. Sawant and Prof. Usman get their flats which are diagonally opposite to each other. Prof. Rathor gets a south facing flat which is next to Prof. Usman's flat. Prof. Tripathy's flat is North facing.

In a department of a hospital, Amir, Sahil, Vaibhav and Gaurav are doctors and each of them has a duty from 9 am of Day 1 to 9 am of Day 2 for 24 hours in the same order one after the other. After each duty, the doctor gets an off for 3 days, including the day he is relieved from duty. For example, if Amir has a duty on Monday, his next duty will now fall on Friday and this rotation goes on.

At 3'O Clock, if Hour hand points towards West, in which direction will the minute hand points at 7.45 p.m.

Complete the series; FAQ, AQF, ____, FAQ, AQF

Six friends: P, Q, R, S, T, and U, not necessarily in the same order are standing in a line, facing north. There are as many people between U and S as there are between R and T. S and T are not neighbors. R sits second to the right of S. U and R are neighbors. T sits at one of the ends. P and Q are not neighbors. Which of the following cannot be true?

A machine rearranges words and numbers as shown in the steps below. Input: goose fun everyone 18 36 25 ail 66 Step 1: ail goose fun everyone 18 36 25 66 Step 2: ail 66 goose fun everyone 18 36 25 Step 3: ail 66 everyone goose fun 18 36 25 Step 4: ail 66 everyone 36 goose fun 18 25 Step 5: ail 66 everyone 36 fun goose 18 25 Last Step: ail 66 everyone 36 fun 25 goose 18

Using this information, answer: cat 80 disc 12 44 33 too much If the above is step 3, what will be step 6?

Suraj walked 6 m facing towards the west, then he took a left turn and walked a distance of 8 m. He then took a right turn and walked a distance of 6 m. He then walked for 10 m in the north-east direction. Approximately, how far is he from the starting point?

A is the sister of B's father-in-law. A and C are siblings. D is the husband of B. How is D related to A ?

Ram travelled towards East from his office. After travelling 10 Km, he took a right turn and covered 2 km. Then he took a 45 Degree turn in clockwise direction and travels 3 km. In which direction is he travelling now?

B, C, D, E, G, H are six persons sitting in a row, not necessarily in the same order. Two persons are sitting between C and G. C is placed to the immediate left of B. D is the first one in the row. C and H are not sitting together. Which one/ones of the following represent/s the correct arrangement of their sitting?

(A) D, H, G, E, B, C (B) D, C, B, H, G, E (C) D, G, H, E, C, B (D) D, G, E, H, C, B

Each of the five balls, such as Red, Blue, Yellow, Black and Green is of a different weight. It is known that:

(i) Black ball is heavier than the Red and Blue balls. (ii) Yellow ball is lighter than the Red ball. (iii) Blue ball is heavier than the Red and Green balls.

Which ball could be the lightest one?

Sophia is walking in the east direction. After walking for some time, she turns left and then again turns 45° right. In which direction is she moving now?

Aman is five ranks ahead of Isha in a class of 30 students. If Isha's rank is 14th from the last, then what is Aman's rank starting from Chetan at the 1st position?

P is the father of R, Q is the sister of P, R is the brother of C and S is the mother of P. How is R related to S?

A says to B, 'I am the mother of your grandfather's son.' How is A related to B?

Ansh is taller than Akshita but shorter than Sharad. Akshita is shorter than Sharad but taller than Sneha. Who is the tallest one?

Among the six persons P, Q, R, S, T, U, each is having different weights P is heavier than 3 persons. R is lighter than T S is lighter than only Q R is not the lightest Who is lighter and heavier than P respectively?

Find the next character sequence in the series FAC, ICF, LEI, OGL, RIO….

P, Q, R, S, T, U, V, W are sitting in a row facing north (A) P is fourth to right of T (B) S is fourth to the left of Q (C) R and U, which are both at the ends are neighbours of Q and T respectively (D) W is immediate left of P and P is neighbour of Q Who are the immediate neighbours of W?

Eight persons are standing in two parallel rows, such that four persons stand in row-X facing north and four stand in row-Y facing south. In this way, person in one row faces the person of other row. Who faces C? Statement I: A is second to the right of B, who is an immediate neighbor of D. E stands in row-Y and faces G, who is immediate left of H. C is on the immediate right of the one who faces A. Statement II: F stands at the left end in row-Y. A is facing I, who is second to the left of E. A stands in row-X. C and F are the immediate neighbors of I.

Point Z is in which direction from Point B? Statement I: Point X is towards 15m south of Point Y. Point Z is towards 5m west of Point X, which is 13m south-east of Point B. Statement II: Point B is 6m west of Point X. Point Y is 12m east of Point Z, which is 8m to the north of Point X.

Twelve persons are sitting in a parallel row and opposite to each other. In row 1-L, M, N, O, P and Q face the south. In row 2-A, B, C, D, E and F face the north but not necessarily in the same order.

L sits opposite to the one who sits second to the left of F. Only two persons sit between B and F. B sits to the left of F. The number of persons sitting to the left of L is the same as the number of persons sitting right to P. N sits second to the right of P. A sits immediate left of D, none of them sits at the end of the row. C sits opposite to the one who sits second to the left of Q. O and P are not immediate neighbours.

The Humanities department of a college is planning to organize eight seminars, one for each of the eight doctoral students - A, B, C, D, E, F, G and H. Four of them are from Economics, three from Sociology and one from Anthropology department. Each student is guided by one among $\mathrm{P}, \mathrm{Q}, \mathrm{R}, \mathrm{S}$ and T . Two students are guided by each of $P, R$ and $T$, while one student is guided by each of $Q$ and $S$. Each student is guided by a guide belonging to their department. Each seminar is to be scheduled in one of four consecutive 30-minute slots starting at 9:00 am, 9:30 am, 10:00 am and 10:30 am on the same day. More than one seminars can be scheduled in a slot, provided the guide is free. Only three rooms are available and hence at the most three seminars can be scheduled in a slot. Students who are guided by the same guide must be scheduled in consecutive slots.

The following additional facts are also known.

1. Seminars by students from Economics are scheduled in each of the four slots.
2. A's is the only seminar that is scheduled at 10:00 am. A is guided by R.
3. $F$ is an Anthropology student whose seminar is scheduled at 10:30 am.
4. The seminar of a Sociology student is scheduled at 9:00 am.
5. $B$ and $G$ are both Sociology students, whose seminars are scheduled in the same slot. The seminar of an Economics student, who is guided by T , is also scheduled in the same slot.
6. P , who is guiding both B and C , has students scheduled in the first two slots.
7. $A$ and $G$ are scheduled in two consecutive slots.

Twenty five coloured beads are to be arranged in a grid comprising of five rows and five columns. Each cell in the grid must contain exactly one bead. Each bead is coloured either Red, Blue or Green. While arranging the beads along any of the five rows or along any of the five columns, the rules given below are to be followed:

1. Two adjacent beads along the same row or column are always of different colours.

2. There is at least one Green bead between any two Blue beads along the same row or column.

3. There is at least one Blue and at least one Green bead between any two Red beads along the same row or column.

Every unique, complete arrangement of twenty five beads is called a configuration.

A shopping mall has a large basement parking lot with parking slots painted in it along a single row. These slots are quite narrow; a compact car can fit in a single slot but an SUV requires two slots. When a car arrives, the parking attendant guides the car to the first available slot from the beginning of the row into which the car can fit.

For our purpose, cars are numbered according to the order in which they arrive at the lot. For example, the first car to arrive is given a number 1 , the second a number 2 , and so on. This numbering does not indicate whether a car is a compact or an SUV. The configuration of a parking lot is a sequence of the car numbers in each slot. Each single vacant slot is represented by letter V.

For instance, suppose cars numbered 1 through 5 arrive and park, where cars 1,3 and 5 are compact cars and 2 and 4 are SUVs. At this point, the parking lot would be described by the sequence $1,2,3,4,5$. If cars 2 and 5 now vacate their slots, the parking lot would now be described as $1, \mathrm{~V}, \mathrm{~V}, 3,4$. If a compact car (numbered 6 ) arrives subsequently followed by an SUV (numbered 7), the parking lot would be described by the sequence 1, $6, V, 3,4,7$.

Answer the following questions INDEPENDENTLY of each other.

Ten persons from different companies viz. Indigo, Biocon, Micromax, Samsung, Havells, Amul, Tata, VSNL, Amazon and Cipla are sitting in two parallel rows containing five people each, in such a way that there is an equal distance between adjacent persons. In row-1 G, H, I, J and K are seated and all of them face South. In row-2 U, V, W, X and Y are seated and all of them face North. Each member seated in a row faces another member of the other row.

K sits third to the left of the person from Biocon. V is an immediate neighbour of the person who faces K. The person from Havells sits to the immediate left of V. Only two people sit between the person from Micromax and H. The person from Micromax is not an immediate neighbour of K. Only one person sits between the one who faces H and the person from Tata. X sits second to the right of W. W does not sit at an extreme end of the line. The person from Cipla sits third to the left of the one who faces W. U is an immediate neighbour of the person from Samsung. U is not from Tata. Only two people sit between the person from Amul and J. The person from Amazon is an immediate neighbour of the person who faces the person from Amul. Only one person sits between the one who faces the person from Amazon and I. Neither I nor U is from Indigo.

DIRECTIONS: Given an input line, the machine arranges the words and numbers in steps in a systematic manner as illustrated afterwards. Study the pattern and answer the question that follows.

Worked example: Input: Krishna 32 Book 39 Ice 91 Invite 47 63 Mango 25 GO Step I: 92 Go Krishna 32 Book 39 Ice Invite 47 63 Mango 25 Step II: 64 Ice 92 Go Krishna 32 Book 39 Invite 47 Mango 25 Step III: 48 Book 64 Ice 92 Go Krishna 32 39 Invite Mango 25 Step IV: 40 Mango 48 Book 64 Ice 92 Go Krishna 32 Invite 25 Step V: 33 Invite 40 Mango 48 Book 64 Ice 92 Go Krishna 25 Step VI: 26 Krishna 33 Invite 40 Mango 48 Book 64 Ice 92 Go

Actual input for the questions below: Input: Mid 39 Apple 56 Good 59 Orange 35 Beautiful 76 Naughty 91

There are eight members in a family: P, Q, R, S, T, U, V and W. There are four females and three married couples. R is daughter-in-law of V. P is sister-in-law of R. W is son of P. W is brother of U. T is father of S, who is not married to P. T has only one child.

Eight persons were born in eight different years (1983, 1985, 1989, 1992, 1994, 1997, 2001 and 2006). Their ages are calculated in the year 2019, but not necessarily in the same order. Each one of them wears a different coloured shirt: Red, Pink, Grey, White, Blue, Black, Yellow and Green, but not necessarily in the same order.

F was born in an even numbered year. Only one person was born between E and the one who wears Red, who was born after E. As many persons were born before E as were born after G. The one who wears pink shirt was born after the one who wears Grey. The one who wears yellow shirt was born immediately after G. D's age is a square number. Two persons were born between D and the one who wears Black. More than three persons were born between the one who wears White and the one who wears Grey. H wears Blue and was born in an odd numbered year. Three persons were born between F and the one who wears Green, who is not the eldest. B was born before A, who was born before C. B does not wear Grey.

Certain numbers of people are sitting in a straight line, all facing north. Mithun is sitting at the right extreme end and also second to the right of Shobhita. Only three persons are sitting between Akbar, who is sitting to the right of Raju, and Shobhita. Not more than two persons are sitting to the left of Akbar. Jonas is sitting in the middle of the row. Amulya is sitting second to the left of Shivani and one of them is a neighbour of Jonas. Akbar is sitting to the left of Shivani. Only two persons are sitting between Shivani and Raju. Ravi is sitting to the right of Sneha.

Which alphabet is 3rd from the left in the meaningful four-letter word formed from the 1st, 2nd, 5th and 8th letters of the word "JOURNALIST"? If more than one word is formed, then mark answer as X, and if no meaningful word is formed then mark answer as Z.

Eight persons Aashvi, Bhairav, Chavez, Dhruvi, Eeshan, Faizan, Geetika and Hendrik are sitting in a straight line facing north. They all have different ages: 8, 12, 14, 21, 28, 36, 44 and 56.

Two persons are sitting between Chavez and the one whose age is 56 years. The one whose age is 14 years is sitting second to the left of Chavez. Bhairav sits to the immediate left of the one whose age is 56 years. One person is sitting between Hendrik and the one whose age is 56 years. Either Hendrik or the one whose age is 56 years is sitting at the extreme end. There is a difference of 6 years between the ages of Faizan and Geetika, and two persons are sitting between them. The one whose age is 12 is sitting second to the left of Dhruvi. Dhruvi is not sitting at the extreme end. There is one person sitting between Faizan and the one whose age is 44 years. Aashvi is an immediate neighbour of the one whose age is 44 years. Eeshan and the one whose age is 21 years are immediate neighbours. Hendrik is older than Aashvi.

Six persons i.e. A, B, C, D, E and F sit in a row such that all are facing towards north. Who among the following sits at the right end of the row?

I. A sits second to the right of B. Both A and B do not sit at the end of the row. Only one person sits between E and D. II. C and F are the immediate neighbours of each other. More than two persons sit between C and A. E is not the immediate neighbour of B.

There are 15 persons (F, P, T, V, M, S, L, G, B, J, K, A, D, R and N) living in a building with five floors (numbered 1 to 5). The lowermost floor is number 1 and the topmost floor is number 5. There are three flats on each floor from left to right, numbered 1 to 3. Each one of them likes a different type of flower viz. Lily, Peony, Coxcomb, Daffodil, Aster, Orchid, Freesia, Rose, Heather, Gerbera, Tulip, Calla, Dahlia, Liatris and Bupleurum, but not necessarily in the same order.

G lives on floor number 3. N does not live on flat number 2. There are two floors between R and the one who likes Orchid. The one who likes Orchid lives on an even numbered floor. The one who likes Rose sits immediate left of R. The number of persons living above V and below A are the same. The one who likes Calla sits immediate left of A. Two persons live between P and the one who likes Calla. A does not like Orchid. Only one flat is between M and S. Only one floor is between K and the one who likes Bupleurum. K lives either on the first or third floor. J is second to the left of the one who lives immediately below B. Three persons live between the one who likes Lily and the one who likes Freesia. The one who likes Freesia does not live on the topmost floor. R neither likes Freesia nor Lily. The one who likes Coxcomb is immediate right of T. R lives on an odd numbered flat. V lives on an even numbered floor. B does not like Coxcomb. L lives immediately below the one who likes Aster. L does not like Rose. N likes Heather and lives just below the one who sits right of G. Two persons sit between D and the one who likes Daffodil. G does not like Tulip. P does not live on the lowermost floor. Only one person lives between the one who likes Dahlia and the one who likes Gerbera. P and S do not live on the same flat. R does not like Dahlia. K lives on flat number 1. G does not like Bupleurum. T likes Peony. M does not like Daffodil.

There are 5 boxes V, W, X, Y, and Z of chocolate stored on 5 floor shelves, one above the other. On which floor is box X stored?

(I) Box Y is at the topmost floor. Box W is just below V, but stored on an even numbered floor. (II) Box Y does not store on an even numbered floor. (III) Box Z does not store on an even numbered floor but is placed above box W.

If all the letters in the word DELIGHT are arranged in alphabetical order from left to right in such a way that vowels are arranged first followed by consonants, then how many letters are there between D and L after the arrangement?

A certain number of persons are sitting in a row facing north. Who among the following sits immediate right of C?

I. Only three persons sit between A and D, who sits at one of the ends. B sits third to the right of C, who is not an immediate neighbour of F. II. C sits fourth to the right of H. E sits second to the left of B, who sits at one of the extreme ends. F is neither the immediate neighbour of H nor E.

How many pairs of letters are there in the word "POTENTIALLY", each of which has as many letters between them in the word as they have between them in the English alphabetical series?

Princess, Queen, Rani and Samragni were the four finalists in a dance competition. Ashman, Badal, Gagan and Dyu were the four music composers who individually assigned items to the dancers. Each dancer had to individually perform in two dance items assigned by the different composers. The first items performed by the four dancers were all assigned by different music composers. No dancer performed her second item before the performance of the first item by any other dancers. The dancers performed their second items in the same sequence of their performance of their first items. The following additional facts are known. i) No composer who assigned item to Princess, assigned any item to Queen. ii) No composer who assigned item to Rani, assigned any item to Samragni. iii) The first performance was by Princess; this item was assigned by Badal. iv) The last performance was by Rani; this item was assigned by Gagan. v) The items assigned by Ashman were performed consecutively. The number of performances between items assigned by each of the remaining composers was the same.

A supermarket has to place 12 items (coded A to L) in shelves numbered 1 to 16. Five of these items are types of biscuits, three are types of candies and the rest are types of savouries. Only one item can be kept in a shelf. Items are to be placed such that all items of same type are clustered together with no empty shelf between items of the same type and at least one empty shelf between two different types of items. At most two empty shelves can have consecutive numbers.

The following additional facts are known.

1. $A$ and $B$ are to be placed in consecutively numbered shelves in increasing order.

2. $I$ and $J$ are to be placed in consecutively numbered shelves both higher numbered than the shelves in which $A$ and $B$ are kept.

3. $D$, $E$ and $F$ are savouries and are to be placed in consecutively numbered shelves in increasing order after all the biscuits and candies.

4. $K$ is to be placed in shelf number 16.

5. $L$ and $J$ are items of the same type, while $H$ is an item of a different type.

6. $C$ is a candy and is to be placed in a shelf preceded by two empty shelves.

7. $L$ is to be placed in a shelf preceded by exactly one empty shelf.

Five movies (Do Bigha Jameen, Sholay, 3 idiots, Chak De, Aanand) are screening on Monday to Friday in any order. Movie screened on Friday remains till Sunday. Screening of Do Bigha Jameen and Chak De should not be on first and last day. Chak De should be followed by Aanand. Sholay is screened immediately after Do Bigha Jameen. There is only one movie screened between Sholay and 3 idiots.

Eight boxes namely H to O are placed in a rack one above the other. The lowermost rack is numbered as 1 and above is 2 and so on. Each of the boxes has a different color among Blue, Green, Yellow, Red, White, Orange, Indigo and Brown. Each box has a different serial number among 19, 23, 17, 31, 34, 37, 27 and 21.

There are three boxes placed between the box with serial number 27 and the Indigo colored box. Box J's serial number is not 27. The Indigo colored box is placed adjacent to the blue colored box. Box I's serial number is 37 and is not placed at the topmost rack. Box M is yellow colored and placed adjacent to the Red colored box. Box H is placed in the even numbered rack above fourth and it is placed adjacent to the box which has serial number 31. Not more than five boxes are placed above the Red colored box. Box J is placed in the seventh rack and Box H is placed adjacent to Box J. Two boxes are placed between the boxes having serial number 21 and 34. Box J is White colored. Maximum numbers of boxes are placed between the Brown colored box and Orange colored box. Box H is not Brown colored. Box L is Green colored and it is placed adjacent to the Orange colored box. Box N's serial number is 21 and placed in the lowermost rack. The box which has serial number 23 is placed three boxes above the Yellow colored box. Box O's serial number is 19. The box which has serial number 17 is placed above the box which has serial number 34.

A person wants a house such that all sides of the house face North he should build the house

Among six people P, Q, R, S, T and V, each lives on a different floor of a six storey building having its six floors numbered one to six (the ground floor is numbered 1, the floor above it, number 2 and so on and the topmost floor is numbered 6). Who lives on the topmost floor? I. There is only one floor between the floors on which R and Q live. P lives on an even numbered floor. II. T does not live on an even numbered floor. Q lives on an even numbered floor. Q does not live on the topmost floor. III. S lives on an odd numbered floor. There are two floors between the floors on which S and P live. T lives on a floor immediately above R's floor.

A direction pole was situated on the crossing. Due to an accident the pole turned in such a manner that the pointer which was showing East, started showing South. One traveler went to wrong direction thinking to be West. In what direction actually he was travelling?

Sunil is the son of Keshav. Simran, Keshav's sister, has a son Maruti and daughter Sita. Prem is the maternal uncle of Maruti. How is Sunil related to Maruti?

In a row of boys facing North, A is 16th from the left and C is 16th from the right end. B, who is 4th to the right of A, is 5th to the left of C in the row. How many boys are there in the row?

Five girls are sitting on a bench to be photographed. Seema is to the left of Rani and to the right of Bindu. Mary is to the right of Rani. Reeta is between Rani and Mary. Who is second from left in photograph?

Point D is in which direction with respect to point B? I. Point A is to the West of point B. Point C is to the North of point B. Point D is to the South of point C. II. Point G is to the South of point D. Point G is 4 m from point B. Point D is 9 m from point B. III. Point A is to the West of point B. Point B is exactly mid way between points A and E. Point F is to the South of point E. Point D is to the South of point F.

Six lectures are scheduled in a week starting from Monday and ending on Sunday of the same week. Computer Science is not on Tuesday or Saturday. Finance is immediately after Operations. Statistics is not on Friday and there is one day gap between Statistics and Marketing. One day prior to the schedule of Economics there is no lecture (as that day is the off day) and Monday is not the off day. Which lecture is scheduled on Monday.

Among six people A, B, C, D, E and F each having a different height who is the second tallest? I. Only two people are shorter than D. Only two people are taller than A. E is shorter than C. D is taller than F. II. Only three people are shorter than A. B is shorter than D but not the shortest. C is the tallest amongst them.

A high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in an order of her choice, and then when she wants to re-enter the facility, she has to scan the five fingers in the same sequence.

The lab authorities are considering some relaxations of the scan order requirements, since it is observed that some employees often get locked-out because they forget the sequence.

Eight friends: Ajit, Byomkesh, Gargi, Jayanta, Kikira, Manik, Prodosh and Tapesh are going to Delhi from Kolkata by a flight operated by Cheap Air. In the flight, sitting is arranged in 30 rows, numbered 1 to 30, each consisting of 6 seats, marked by letters A to F from left to right, respectively. Seats A to C are to the left of the aisle (the passage running from the front of the aircraft to the back), and seats D to F are to the right of the aisle. Seats A and F are by the windows and referred to as Window seats, C and D are by the aisle and are referred to as Aisle seats while B and E are referred to as Middle seats. Seats marked by consecutive letters are called consecutive seats (or seats next to each other). A seat number is a combination of the row number, followed by the letter indicating the position in the row; e.g., 1A is the left window seat in the first row, while 12E is the right middle seat in the 12th row.

Cheap Air charges Rs. 1000 extra for any seats in Rows 1, 12 and 13 as those have extra legroom. For Rows 2-10, it charges Rs. 300 extra for Window seats and Rs. 500 extra for Aisle seats. For Rows 11 and 14 to 20, it charges Rs. 200 extra for Window seats and Rs. 400 extra for Aisle seats. All other seats are available at no extra charge.

The following are known:

1. The eight friends were seated in six different rows.

2. They occupied 3 Window seats, 4 Aisle seats and 1 Middle seat.

3. Seven of them had to pay extra amounts, totaling to Rs. 4600, for their choices of seat. One of them did not pay any additional amount for his/her choice of seat.

4. Jayanta, Ajit and Byomkesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but all of them paid different amounts for their choices of seat. One of these amounts may be zero.

5. Gargi was sitting next to Kikira, and Manik was sitting next to Jayanta.

6. Prodosh and Tapesh were sitting in seats marked by the same letter, in consecutive rows in increasing order of row numbers; but they paid different amounts for their choices of seat. One of these amounts may be zero.

Twelve people are sitting in two parallel rows containing six people each in such a way that there is an equal distance between adjacent persons. In row 1- J, K, L, M, N and O are seated (but not necessarily in the same order) and all of facing South. In row 2- U, V, W, X, Y and Z are seated (but not necessarily in the same order) and all of them are facing North. Therefore, in the given seating arrangement, each member seated in a row faces another member of the other row.

M sits fourth to the left of J. The one facing J sits third to the left of Y. Only one person sits between Y and U. U does not sit at any of the extreme ends of the line. The one facing Z sits second to the right of K. Z does not sit at any of the extreme ends of the line. Only two people sit between K and O. The one facing K sits second to the left of X. V is not an immediate neighbour of Z. L is not immediate neighbour of M.

When a word and number arrangement machine is given an input line of words and numbers, it arranges them following a particular rule. The following is an illustration of input and rearrangement. (All the numbers are two digit numbers) Input: 23 kinetic amount 64 nature 71 58 opium verdict 96 elderly 15 Step I: opium 23 kinetic amount 64 nature 71 verdict 96 elderly 15 58 Step II: elderly opium 23 kinetic amount nature 71 verdict 96 15 58 64 Step III: amount elderly opium 23 kinetic nature 71 verdict 15 58 64 96 Step IV: 15 amount elderly opium 23 kinetic nature 71 58 64 96 verdict Step V: 23 15 amount elderly opium kinetic 71 58 64 96 verdict nature Step VI: 71 23 15 amount elderly opium 58 64 96 verdict nature kinetic Step VI is the last step of the above arrangement and as the intended arrangement is obtained. As per the rules followed in the given steps, find out the appropriate steps for the given input. Input: adverb 59 36 salient 81 idioms bakery 14 launch 47 umpire 62

A villager places a map of his farm in a gram panchayat meeting for resolving his dispute. He places the map in a way that South-East becomes North and North-East becomes West. The Sarpanch is confused. His assistant comes to help and turns the anti-clockwise by 90°. If the Sarpanch has to see the South side in the map, which side will he look?

There are several aspirants who are made to sit in single row for an entrance examination. Rajesh is fifteenth from the left and Mohan is eight from the right end. If there are four aspirants between them and Mohan is to the right of Rajesh, then the total number of aspirants sitting in the row are ……..

Seven friends, namely P, Q, R, S, T, U and V visit seven different countries namely Japan, Germany, China, India, Nepal, Australia and Malaysia, not necessarily in the same order, starting from Monday to Sunday (of the same week).

R visits on Thursday. Only two people visit between R and the one who visits Germany. Only four people visit between the one who visits Germany and V. The one who visits Malaysia visits immediately before V. Only two people visit between the one who visits Malaysia and P. S visits on one of the days after the one who visits Malaysia. U visits immediately after the one who visits Japan. U does not visit Malaysia. Only three people visit between the one who visits Japan and the one who visits Nepal. The one who visits Australia visits immediately before the one who visits China. Q does not visit on Monday.