ANALYTICAL REASONING
NAREN’S
INSTITUTE FOR COMPETITIVE EXAMINATIONS
Topics To Be Discussed •
Deductions
•
Linear sequencing
•
Double line up
•
Ordering
•
Seating arrangements
•
Selections
Deductions
Introduction Deduction means reducing two or more statements into one. Types: •Reduce
two statements into one
•Reduce
more than two statements into
one
- DISTRIBUTED
X - UNDISTRIBUTED
SUBJECT
PREDICATE
UNIVERSAL AFFIRMATIVE
√
X
UNIVERSAL NEGATIVE PARTICULAR AFFIRMATIVE PARTICULAR NEGATIVE
√
√
X
X
X
√
Rules For Deductions •
Only three distinct terms.
•
The middle term must be distributed at least once.
•
Middle term should not come in the Conclusion.
•
Two Particular, No Conclusion.
•
Two Negative, No Conclusion.
•
One Statement Particular, Conclusion Particular.
•
One Statement Negative, Conclusion Negative.
Rules For Deductions Stat .1
All
Som No All e
Som All e
Stat .2
All
Con cl
No No Som Som All conc conc No e , e l l Not
No
Man Som No y e
No
Shortcuts Stat. 1
UA
UN
PA
PN
UA
UA
UN
Stat. 2
UA
UN
PA
PN
PN
PA
PA
Con
UA
No Con
No Con
No Con
PN
PA
PN
Problem 1
All pens are pots All pots are jacks.
Deduction Answer:
“All pens are jacks”
Problem 2
No dogs are hens No hens are cats
Deduction Answer: No Conclusion
Problem 3
All hands are legs Some hands are ears.
Deduction Answer:
“some legs are ears” or “some ears are legs”.
Problem 4
All bills are rates. All rates are flat. No flat is token.
Deduction Answer: No bills are token (or) No token is bill.
Problem 5
All boats are rivers All mangoes are apples. All rivers are mangoes.
Deduction Answer:
All boats are apples.
Problem 6
All clocks are fans. Some fans are walls
(Infosys)
Deduction Answer:
No Conclusion
Problem 7
All shawls are carpets No carpet is pullover.
(Infosys)
Deduction Answer:
No shawl is pullover (or) No Pullover is Shawl
Problem 8
All tables are cars. Some dusters are tables
(Infosys)
Deduction Answer:
Some dusters are cars (or) Some cars are dusters
Problem 9
Some birds are hens Some hens are trees
(Infosys)
Deduction Answer:
No Conclusion
Problem 10
No scientist is teacher Some teachers are researchers.
(Infosys)
Deduction Answer:
Some researchers are not scientists
Problem 11
All fingers are legs Some legs are hands All hands are ears
Deduction Answer: No conclusion
Problem 12
No shirt is pant. No pant is a shoe. All shoe are books.
Deduction Answer: No conclusion
Problem 13 No month is a year All months are hours Some hours are weeks
Deduction Answer: Some years are not weeks
Problem 14
All huts are bungalows Some bungalows are kitchens All Kitchens are drawing
Deduction Answer: Some huts are drawing rooms / some drawing rooms are huts
Problem 15
Shoes are socks Shoes are laces All laces are pages
Deduction Answer: No Conclusion
Linear Sequencing
Introduction •
Linear fashion means arrangement in a row.
•
Analyze the problem and arrange it.
•
Find the direct condition and start to solve, because the remaining conditions are based on the direct condition.
No condition for the particular item, shows their is possibility in answer.
Problem 1 There are five persons(A,B,C,D,E) in a room seated in a single row in the following manner: A does not sit immediately next to E. E and D sit immediately next to each other. C is at the extreme right end of the row. A is to the immediate left of C. Who must sit in the middle seat of the row?
Linear sequencing Answer:
Middle Seat : B or D
Problem 2
M,N,O,P,Q,R,S,T,U,V,W are 11 persons in a team.
O is their captain who makes them sit in a row. P and R sit together and so do V and W . Whereas there are exactly four seats in between these pairs. T and U sit together with T to the immediate right of S, who is next to Q. M and N sit in the same order at one extreme with no one to the left of_P. Cont…
Problem 2 1.Who sits at fourth place? 2.How many persons sit in between S and N? 3.How many ways of arrangements are possible? 4. Show the arrangements possible?
Answers:
Linear Sequencing
1. The fourth term is S 2. There are 6 persons between S and N 3. There are 2 ways of arranging. 4. The arrangement possible, P R Q S T U V W O M N (or) P R Q S T U W V O M N
Problem 3 Raji and her three friends were to be photographed. Mansi was to the left of Amrita, Manju was to the right of Amrita. Raji was between Manju and Amrita. Who was second from left in the picture?
Linear sequencing Answer:
Amrita was second from the left
Problem 4 Six persons A, B, C, D, E
and F are
standing in a row. B is between F and D, E is between A and C. A does not stand next to either F or D. C does not stand next to D. F is between which of the following pair of persons? i) C & B
ii) C & D
iii) A & C
iv) A & B
Linear Sequencing Answer:
i) C & B
Problem 5 Asha, Babita, Chinni, Deepa, Kavitha and Fatima are standing in a row. Babita is between Fatima and Deepa. Kavitha is between Asha and Chinni. Asha does not stand next to either Fatima or Deepa. Fatima is between which of the pair of persons?
Linear Sequencing Answer:
Babita and Chinni
Problem 6 Eight varsity baseball players (G, H, J, K, L, M, N, O) are to be honored at a special ceremony. Three of these players (H, M, and O) are also varsity football players. Two of them (K and N) are also basketball players in the varsity team. In arranging the seats it was decided that no athlete in two sports should be seated next to another two-sport athlete. Cont…
Problem 6 1. Which of the following combinations is possible in order to have the arrangement of seat assignments as planned? (a)
H G KJ
(b) H K J L (c) J K MN (d) J L H K
(e) L K N 2. Which of the following cannot sit next to M? (a) A
(b) J
(c) G and J (d) K (e) L
Cont…
Problem 6 3. Before all athletes are seated there are two vacant seats on either side of N. Which two athletes may occupy these seats? (a)
G and K
(d) L and O
(b) G and L
(c) J and H
(e) M and J
4. To have the proper seating arrangement, K should sit between (a)G
and H
(d) J and N
(b) J and M (e) J and L
(c) L and N
Linear Sequencing Answer:
1. 2. 3. 4.
H G KJ J b) G and L e) J and L
Problem 7 Six persons A, B, C, D, E and F are sitting in two rows, three in each. E is not at the end of any row. D is second to the left of F. C, the neighbour of E, is sitting diagonally opposite to D. B is the neighbour of F. 1.Which of the following are sitting diagonally opposite to each other? a) F and C b) D and A c) A and C d) A and F e) A and B 2.Who is facing B? 3.After interchanging seat with E, who will be the neighbours of D in the new position? a) C and A b) F and B c) Only B d) Only A e) Only C
Linear Sequencing Answer:
1. 2. 3.
d) A and F E a) C and A
Problem 8 In a march past, seven persons are standing in a row. Q is standing left to R but right to P. O is standing right to N and left to P. Similarly, S is standing right to R and left to T. find out who is standing in the middle?
Linear Sequencing Answer:
Q
Problem 9 Five children are sitting in a row. S is sitting next to P but not T. K is sitting next to R who is sitting on the extreme left and T is not sitting next to K. Who are sitting adjacent to S?
Linear Sequencing Answer:
P and T
Problem 10 There are five friends. They are standing in a row facing South. Jayesh is to the immediate right of Alok. Pramod is between Bhagat and Subodh. Subodh is between Jayesh and Pramod. 1.Who is at the extreme left end? 2.Who is in the middle?
Linear Sequencing Answer:
Alok Subodh
1. 2.
Problem 11 Five persons A, B, C, D and E are sitting in a row facing you such D is on the left of C and B is on the right of E. A is on the right of C and B is on the left of D. if E occupies a corner position, then who is sitting in the centre?
Linear Sequencing Answer: D
Problem 12
A, B, C, D, E, F and G are sitting on a wall
and all of them are facing east. C is on the immediate right of D. B is at an extreme end and has E as his neighbour. G is between E and F. D is sitting third from the south end. 1.Who
is sitting to the right of E?
2.Name
the person who should change places
with C such that he gets the third place from the north end?
Problem 12 Which of the following pairs of people are sitting at the extreme ends? a) AB b) AE c) CB d) FB 4. Immediately between which of the following pairs of people is D sitting? a) AC b) AF c) CE d) CF 3.
Linear Sequencing Answer: 1. 2. 3. 4.
G G a) AB d) CF
Problem 13
In the Olympic Games, the flags of six nations were flown on the masts in the following way; The flag of America was to the left of Indian tricolour and to the right of the flag of France. The flag of Australia was on the right of the Indian flag but was to the left of the flag Japan, which was to the left of the flag of china. Find the two flags which are in the centre. a)India and Australia b) America and India c) Japan and Australia d) America ad Australia
Linear Sequencing Answer: a) India and Australia
Problem 14 In a car exhibition, seven cars of seven different companies viz. Cardilac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo were displayed in a row, facing east such that: 1.Cardialc car was to the immediate right of Fargo. 2.Fargo was fourth to the right of Fiat 3.Maruti car was between Ambassador and Bedford 4.Fiat, which was third to the left of Ambassador car, was at one of the ends. Cont…
Problem 14 1.
2.
Which of the following was the correct position of the Mercedes? a) Immediate right of Cardilac b) Immediate left of Bedford c) Between Bedford and Fargo d) Fourth to the right of Maruti Which cars are on the immediate either sides of the Cardilac car?
Linear Sequencing Answer: 1. Fourth to the right of Maruti 2. On either side of the Cardilac are the Fargo and the Mercedes.
Problem 15 A, B, C, D, E, F, G, H, I, J are ten persons sitting in waiting hall. J is sitting two table right of F, who is right side of H. In between E and B two persons are sitting where B is sitting left of G. In between E and J eight persons are sitting. C is sitting immediate right of E and left of B. G is sitting four seats left of J. G and F have two persons in between where one person is I. I is sitting immediate right of G. H is sitting in seventh seat. Show the arrangement possible.
Linear Sequencing Answer:
E C A/D B G I H F D/ A
J
Double Line Up
Introduction •
Consists of at least two different variables.
•
Form a table.
•
More than one Question per passage.
•
Check the Option for Elimination.
Problem 1 P,Q,R,S,T,U,V,W are 8 employees allocated eight different lockers numbered 1-8. The lockers are arranged in four rows with two lockers in each row. Lockers 1 and 2 in top row from left to right and lockers 7 and 8 in bottom row from left to right. Lockers 3 and 4 are in the second row from top arranged from right to left and so do 5 and 6. P has been given locker 1 while v has been allocated locker 8. T has locker just above that of Q which is just above that of R whereas W locker is in bottom row. Cont…
Problem 1 1. Draw the table? 2. Which locker is allocated to employee Q? 3. How many arrangements are possible? 4. If W and P are interchanged how does the table look like? 5. If S is given locker 4 how many solutions are possible?
Table LEFT
RIGHT
P
1
2
T
S/U
4
3
Q
S/U
6
5
R
W
7
8
V
Double Line Up Answers: •
Employee Q is allocated locker 3
•
There are 2 arrangements possible
•
W would take the top row and P would take the bottom row
•
If S is given locker 4 there is only 1 solution possible.
Problem 2 X,Y,Z are three supervisors and P,Q,R are three bearers in a restaurant . Each of the three places A,B,C is to be attended by two people a bearer and a supervisor.Y does not attend A but R is at B. X is never at B, Q is at C. P and X work together . So form the table for the data given?
Double Line Up SUPERVISOR
PLACE
BEARER
X
A
P
Z/Y
B
R
Z/Y
C
Q
Problem 3 There is a family of six persons P,Q,R,S,T and U. They are Lawyer, Doctor, Teacher, Salesman, Engineer and Accountant. There are two married couples in the family. S, the salesman is married to the Lady Teacher. The Doctor is married to the Lawyer. U, the Accountant is the son of Q and brother of T. R, the Lawyer is the daughter-in-law of P. T is the unmarried Engineer. P is the Grandmother of U. What is P’s profession?
Double Line Up Answer :
teacher
Profession of P is lady
Problem 4 There are four houses in a street. A, B, C, D live in these four houses; each one occupying a different house. One of them is an engineer, one is a doctor, one is an architect and one is a teacher. Each house is painted in a different colour - Red, Yellow, Black and White. The doctor’s house is between the red and yellow house and has two others living between him and the architect. D and the engineer live in adjacent house and neither of them lives in yellow or white house.
Problem 4(Cont…) 1.
Who is an architect and what is the colour of his house?
2.
Who lives in red house and what is his profession?
3.
Who lives in the white house?
4.
What D’s profession?
5.
The neighbors of B are?
Double Line Up Answer: 1.
C - Yellow
2.
B - Engineer
3.
A - Doctor
4.
Teacher
5.
A and D
Problem 5 The members of a bank are Mr. A, Mr. B, Mrs. C, Ms. D, Mr. E and Ms. F. The positions they occupy are Manager, Assistant Manager, Cashier, Stenographer, Teller and a Clerk, though not necessarily in that order. The Assistant Manager is the Manager’s grandson, Cashier is Stenographer’s son in law, Mr. A is a bachelor, Mr. B is 22 years old, Ms. D is Teller’s step sister and Mr. E is Manager’s neighbour. Cont…
Problem 5 1.
Who is the manager?
2.
Who is the assistant manager?
3.
Who is cashier?
4.
Who is the stenographer?
5.
Who is the teller?
6.
Who is the clerk?
Double Lineup Answer: 1.
Mrs. C
2.
Mr. A.
3.
Mr. B.
4.
Mr. E.
5.
Ms. F.
6.
Ms. D
Problem 6
Five executives of European Corporation hold a Conference in Rome Mr. A converses in Spanish & Italian Mr. B, a Spaniard, knows English also Mr. C knows English and belongs to Italy Mr. D converses in French and Spanish Mr. E , a native of Italy knows French Cont…
Problem 6 1.
2.
Who can act as interpreter if Mr. C & Mr. D wish to converse a) only Mr. A b) Only Mr. B c) Mr. A & Mr. B d) Any of the other three If a 6th executive is brought in, to be understood by maximum number of original five he should be fluent in a) English & French b) Italian & Spanish c) English & French d) French & Italian Cont…
Double Lineup Answer:
1. 2.
d) Any of the other three. b) Italian & Spanish
Problem 7 Spelunkers International offers exploring tours in eight caves: Abbott, Benny, Caeser, Dangerfield, Ewell, Fields, Guinness and Hope. (1) Class 1 spelunkers may not attempt cave Ewell, Fields or Hope (2) Class 2 spelunkers may not attempt Hope (3) Class 3 spelunkers may attempt any cave (4) Cave Caesar may be attempted only by spelunkers who have previously explored cave Benny (5) Cave Fields may be attempted only by spelunkers who have previously explored cave Ewell (6) Only two of the caves Benny, Caeser, Ewell, Fields, and Hope may be attempted by any explorer in a single tour. Cont…
Problem 7 1.
A class 2 spelunker who has previously explored cave Ewell may be restricted in choosing a tour by which rule's? (I) Rule(4)
(II) Rule(5) (III) Rule(6)
I only (b) II only (c) I and III only (d) II and III only (e) I, II and III (a)
Problem 7 2. In how many different ways may a class 1 spelunker who has never explored any of the eight caves before set up a tour of three caves, if she wishes to explore caves Abbott and Caesar? (a) 2 6
(b) 3
(c) 4
(d) 5
(e)
Double lineup Answer:
1. 2.
C. B
Problem 8
There are six cities A, B, C, D, E and F. A is not a hill station. B and e are not historical places. D is not an industrial city. A and D are not historical cities. A and B are not alike. 1. Which two cities are industrial centres? a) A and B b) E and F c) C and D d) B and F
Problem 8 2. a)
Which two cities are historical places? A and C b) B and F c) C and F d) B and E
Which two cities are neither historical places nor industrial centres? a) A and B b) D and E c) F and C d) B and D 4. Which city is a hill station and an industrial centre but not a historical place? a) E b) F c) A d) B e) C 3.
Double lineup Answer: 1. 2. 3. 4.
b) E and F c) C and F d) B and D a) E
Problem 9 Five friends P, Q, R, S and T traveled to five different cities of Chennai, Delhi, Bangalore and Hyderabad by five different modes of transport of Bus, Train, Aero plane, Car and Boat from Mumbai. i) The person who traveled to Delhi did not travel by boat. ii)R went to Bangalore by car and Q went to Calcutta by aero plane. iii)S traveled by boat whereas T traveled by Train. iv)Mumbai is not connected by bus to Delhi and Chennai. Cont…
Problem 9 Which of the following combinations of person and mode is not correct? a) P – Bus b) R – car c) T – Aero plane d) S Boat 2. Which of the following combinations is true for S? a) Delhi – Bus b) Chennai- Bus c) Chennai Boat 3. Who is that person traveled to Delhi? 4. The person went to Delhi traveled by? 1.
Double lineup Answer: 1. c) T – Aero plane 2. c) Chennai – Boat 3. T 4. Train
Problem 10 In a school, there were five teachers. A and B were teaching Hindi and English. C and B were teaching English and Geography. D and A were teaching Mathematics and Hindi. E and B were teaching History and French. 1.Who is teaching maximum number of Subjects? 2.More than two teachers were teaching which subjects? 3.Which subject were handle by D, B and A?
Double Lineup Answer: 1. B 2. English and Hindi 3. Hindi
Problem 11 Six students A, B, C, D, E and F are sitting in the field. A and B are from Nehru house while the rest belong to Gandhi house. D and F are tall while the others are short. A, C and D are wearing glasses while the others are not. 1. Which of the two student, who are not wearing glasses are short? 2. Which short student of Gandhi house is not wearing glasses? 3. Which tall student of Gandhi house is not wearing glasses?
Double Lineup Answer: 1. B and E 2. E 3. F
Problem 12 Jayant, Kamal, Namita, Asha and Tanmay are five members of a family. They have their birth dates from January to May, each member in one of these months. Each one likes one particular item for his/her birthday out of Bengali sweets, Chocolates, Pastries, Ice cream and Dry fruits. The one who likes Pastries is born in the month which is exactly middle in the months given. Asha does not like Ice cream but brings Chocolates for Jayant in February. Tanmay who is fond of Bengali sweets is born the next month immediately after Namita. Namita does not like Cont… Dry fruits or Ice cream.
Problem 12 1. 2.
3. 4.
What is the choice of Asha? Which combination of month and item is true for Jayant? What is the choice of Kamal? In which month was Kamal born?
Double Lineup Answer: 1. Dry fruits 2. February – Chocolates 3. Ice cream 4. January or May
Problem 13 In a group of six women, there are four dancers, four vocal musicians, one actress and three violinists. Girija and Vanaja are among the violinists while Jalaja and Shailja do not know how to play on the violin. Shailja and Tanuja are among the dancers. Jalaja, Vanaja, Shailja and Tanuja are all vocal musicians and two of them are also violinists. If pooja is an actress, who among the following is both a dancer and a violinist? a) Jalaja b) Shailja c) Tanuja d) Pooja
Double Lineup Answer:
C) Tanuja
Problem 14 There are six friends A, B, C, D, E and F. each one is proficient in one of the games, namely Badminton, Volleyball, Cricket, Hockey, Tennis and polo. Each owns a different colored car, namely yellow, green, black, white, blue and red. D plays polo and owns a yellow colored car. C does not play either Tennis or Hockey and owns neither blue nor yellow colored car. E owns a white car and plays Badminton. B does not play Tennis, he owns a red colored car. A plays Cricket and owns a black car.
Problem 14 Who plays volleyball? 2. Which colored car F owns? 3. Which of the following combinations of color of car and game played is not correct? a) Yellow – Polo b) Green – Tennis c) Black – Cricket d) Red – Hockey 1.
Double lineup Answer: 1. 2. 3.
C Blue b) Green - Tennis
Problem 15 P, Q, R, S, T and U are six students procuring their Master’s degree in six different subjects – English, History, Philosophy, Physics, Statistics and Mathematics. Two of them stay in hostel, two stay as paying guest (PG) and remaining two stay at their home. R does not stay as PG and studies philosophy. The students staying Statistics and History do not stay as PG. T studies Mathematics and S studies Physics. U and S stay in hostel. T stay as PG and Q stays at home.
Cont…
Problem 15 Who studies English? 2. Which of the following combinations of subject and place of stay is not correct? a) English – Hostel b) Mathematics – PG b) c) Philosophy – Home d) Physics - Hostel 3. Which subject does Q study? 4. Which of the following pairs of students stay at home? a) PQ b) QR c) RS d) ST 1.
Double Lineup Answer: 1. P 2. a) English – Hostel 3. History or Statistics 4. QR
Ordering
Types
Ordering Questions Related to the rank
Elimination Questions related to the extremes
More than one Variable use ordering .
Only one variable use elimination or ordering.
Problem 1
K,L,M,N,O,P are 6 men. Neither M nor N is the tallest.L is taller than P but shorter than K.O is as tall as P but taller than M. which is the tallest.
Ordering Answer: K is tallest.
Problem 2
P,Q,R,S,T are 5 cars. It is further known that T is faster and more powerful than R,which is costlier than T. P is costlier than R and faster than Q, which is more powerful than T. S is the slowest and the cheapest of all cars, but is the most powerful. R is more powerful and faster than P but is the third costliest. Cont…
Problem 2 1.Which of the cars is the fastest? 2.Which of the cars has as many cars more powerful and less powerful than it? 3.Which is the costliest? 4.Which of the cars are cheaper than R?
Ordering Answers:
1.T is the fastest car. 2.T is the car which has as many cars more powerful and less powerful than it. 3.Either of P/Q is the costliest. 4.T and S are cheaper than R.
Problem 3 There are 6 volumes of books on a rack kept in order(i.e vol.1, vol.2 and so on). Give the position after the following changes were noticed.Vol.5 was directly to the right of Vol.2.Vol.4 has Vol.6 to its left and both weren't at Vol.3's place.Vol.1 has Vol.3 on right and Vol.5 on left. An even numbered volume is at Vol.5's place. Find the order in which the books are kept now ? (Wipro 2008).
Ordering Answer :
Vol2, Vol5, Vol1,Vol3,Vol6,Vol4.
Problem 4 A is twice as old as his sister B, but three years younger to his brother C. C will be 16 in three years. How old is B?
Ordering Answer:
5 years
Problem 5 A is six months younger to B, while C is three months younger to D: when E was born, C was two months old. D belongs to the age group of five, while A belongs to the age group of six. Who is the oldest among them?
Ordering Answer:
B
Problem 6 There are six steps that lead from the first to the second floor. No two people can be on the same step. Mr. A is two steps below Mr. C Mr. B is a step next to Mr. D Only one step is vacant (No one standing on that step) Denote the first step by step 1 and second step by step 2etc.
Cont….
Problem 6 1.
2.
If Mr. A is on the first step, Which of the following is true? (a) Mr. B is on the second step (b) Mr. C is on the fourth step. (c) A person Mr. E, could be on the third step (d) Mr. D is on higher step than Mr. C. If Mr. E was on the third step & Mr. B was on a higher step than Mr. E which step must be vacant (a) step 1 (b) step 2 (c) step 4 (d) step 5 e) step 6
Problem 6 3. If Mr. B was on step 1, which step could A be on? (a) 2&e only (b) 3&5 only (c) 3&4 only (d) 4&5 only (e) 2&4 only 4. If there were two steps between the step that A was standing and the step that B was standing on, and A was on a higher step than D , A must be on step (a) 2 (b) 3 (c) 4 (d) 5 (e) 6
Cont…
Ordering Answer:
1. 2. 3. 4.
(d) (a) (c) (c)
Problem 7 A series of drama is to be arranged on all the five days of the week Monday to Friday. Drama contains Fiction, Romance, Horror, Comedy And Tragedy. Horror cannot immediately precede Romance, Fiction should be scheduled earlier than Romance, Comedy should come after tragedy. If Horror is arranged on Friday then what should be the sequence of the dramas.
Ordering Answer:
Fiction, Romance, Tragedy, Comedy , Horror
Problem 8 Miss Dean wants to renovate her house. She hires a plumber, a carpenter, a painter, an electrician and an interior decorator. The work is to be finished in one stretch (Monday-Friday). Each worker will take full day to do his job. Miss Dean permits only one person to work each day. I. The painter can work only after the plumber and the carpenter have finished their jobs II. The interior decorator must do his job before the electrician. III. The carpenter cannot work on Monday or Tuesday
Cont…
Problem 8 1. If the painter work on Thursday, which one of the following alternatives is possible? (a) The electrician works on Tuesday. (b) The electrician works on Friday. (c) The interior decorator works after the painter does. (d) The painter works on consecutive days. (e) Miss Dean cannot fit all of the workers in the schedule Cont…
Problem 8 2. If the painter works on Friday which of the following must be false? (a) The carpenter may work on Wednesday (b) The carpenter and the electrician may work on consecutive days (c) If the carpenter works on Thursday, the electrician has to work on Wednesday (d) The plumber may work before the electrician does (e) The electrician may work on Tuesday
Ordering Answer:
1.(b). The electrician works on Friday. 2.(c). If the carpenter works on Thursday, the electrician has to work on Wednesday
Problem 9 The cricket ball is lighter than the hockey ball, and the volleyball is lighter than the football. The hockey ball is lighter than the football but heavier than the tennis ball. Which is the heaviest?
Ordering Answer:
Football
Problem 10 There is a group of five girls. Kamini is second in height but younger than Rupa. Pooja is taller than Monika but younger in age. Rupa and Monika are of the same age but Rupa is tallest between them. Neelam is taller than Pooja and elder to Rupa. 1.If they are arranged in the ascending order of height, who will be in third position? 2.If they are arranged in the descending order of their ages, who will be in fourth position?
Ordering Answer: 1. 2.
Neelam Neelam
Problem 11 Six plays A, B, C, D, E and F are to be staged, one on each day from Monday to Saturday. The schedule of the plays is to be in accordance with the following. i)A must be staged a day before E. ii)C must not be stages on Tuesday iii)B must be staged on the day following the day on which F is staged. iv)D must be staged on Friday only and should not be immediately preceded by B. v)E must not be staged on the last day of the schedule. Cont…
Problem 11 Which of the following plays immediately follows B? a) A b) C c) D d) E e) F 2. Which of the following plays is on Monday? a) E b) F c) C d) B e) A 3. Play D is between which of the following pairs of plays? a) B and E b) E and F c) A and E d) C and E e) C and F 1.
Ordering Answer: a) A b) F d) C and E
Problem 12 At the end of a cricket series, when five players were arranged in the ascending order of runs scored by them, O was fourth while N was first. When they were arranged in descending order for wickets taken by them, K replaces O while O replaces L. M’s position remains uncharged. K has scored more runs than M. L is having first rank in one ranking and fifth in another. 1.Who has scored the highest runs in the series? 2.Who has taken the lowest number of wickets?
Ordering Answer:
1. 2.
L O
Problem 13 i)
ii) iii) iv) v)
Seven students P, Q, R, S, T, U and V take a series of tests. No two students get similar marks V always scores more than P P always scores more than Q Each time either R scores the highest and T gets the least, or alternatively S scores the highest and U or Q scores the least. Cont…
Problem 13 If s is ranked sixth and Q is ranked fifth, which of the following can be true? a) T is ranked fourth or fifth b) U is ranked third or fourth c) R is ranked second or third 1. If R gets most, V should be ranked not lower than? a) Second b) third c) fourth d) fifth e) sixth 1.
Ordering Answer:
1. 2.
b) U is ranked third or fourth c) fourth
Problem 14
i)
ii)
iii) iv) v) vi)
1. 2.
A, B, C, D, E and F are six students in a class B and C are shorter than F but heavier than A D is heavier than B and taller than C E is shorter than D but taller than F F is heavier than D A is shorter than E but taller than F. Who is the tallest? Who is third from the top when they are arranged in descending order of height? Cont…
Problem 14 3. Who among them is the lightest? 4. Which of the following groups of friends is shorter than A? a) B, C only b) D, B, C only c) E, B, C only d) F, B, C only e) None of these
Ordering Answer: 1. 2. 3. 4.
D A Data inadequate F, B, C only
Problem 15 A sales representative plans to visit each of six companies M, N, P, Q, R and S exactly once during the course of one day. She is setting up her schedule for the day according to the following conditions. i)She must visit M before N and R. ii)She must visit N before Q iii)The third company she visits must be P. 1.If the sales representative visits S first, which company must she visit second? Cont…
Problem 15 2. The sales representative could visit any of the following companies immediately after P except: a) S b) R c) Q d) N e) M 3. Find the order in which the sales representative visits the six companies? 4. If sales representative visits Q immediately before R and immediately after S, she must visit Q: a) First b) second c) fourth d) fifth e) sixth
Ordering Answer: 1. M 2. e) M 3. M, S, P, N, R, Q 4. d) fifth
Selections
Introduction •
Selecting a part out of whole.
•
Infer from the statements without Assumptions
•
Apply condition and select
Shortcuts Write the condition by shortcut manner like, A and B together means A = B If A come B will not come A ≠ B If B is selected A,C will not select B ≠ A,C
Problem 1
Three students J, B, S have to select 3 subjects
out of 6 subjects P,Y,M,C,H,L. if L is selected then P cannot be selected. If S selects C then J does not select L. if B selects Y then S cannot select C and if J selects P then S selects H and L. If S selects L and B selects Y then which are the subjects that S cannot select?
Selection Answer :
S cannot select P and C
Problem 2 A team consists of 5 members which has to be selected from 5 boys P,Q,R,S,T and 3 girls U,V,W. The team must consist of 3 boys and at least 1 girl. If P is selected R cannot be selected If S is selected V cannot be selected. Cont…
Problem 2 1.
If 4 boys are selected then which girl can never be a part of the team?
2.
If P and S are 2 boys selected then in how many ways can the team be formed?
Selection 1. 4 boys are selected which means that S is selected for sure. So S becomes a part of the team so V cannot be in the team. 2. If P and S form a team then the team can consist of PSQTU, PSQTW, PSQUW, PSTUW. So it can be formed in 4 ways.
Problem 3 Asha and Charu are good in mathematics and Athletics. Deepa and Asha are good in athletics and studies, Charu and Beena are good in General Knowledge and Mathematics. Deepa, Beena and Ela are good in studies and General Knowledge. Ela and Deepa are good in studies and Art. Cont….
Problem 3 1.
2.
3.
4.
5.
Who is good in studies, general Knowledge, athletics and Arts? Who is good in studies, General Knowledge and Mathematics? Who is good in Athletics, General Knowledge and Mathematics? Who is good in studies and General knowledge and Arts but not Athletics? Who is good in studies, Mathematics and athletics?
Selection Answer: 1. 2. 3. 4. 5.
Deepa Beena Charu Ela Asha
Problem 4 A scientist is trying to prepare a medicine using four ingredients. He can choose from the stable chemicals A, B and C and the unstable chemicals W, X, Y and Z. in order to see that the medicine does not explode, there must be two stable chemicals in it. Also certain chemicals cannot be mixed because of their reaction together. Cont….
Problem 4
Chemical B cannot be mixed with chemical W.
Chemical C cannot be mixed with chemical Y.
Chemical Y cannot be mixed with chemical Z.
1.
2.
If Y is the most important chemical and must be used in the formula, which other ingredients must be used? If chemical B is rejected because of its possible side – effects but it is decided to use chemical Z, which is a possible combination of the four ingredients in the formula?
Selection Answer:
1.
A, C and X.
2.
A, C, W and Z.
Problem 5 Four students are to be selected from T, U, V,W, X, Y, Z. If T is selected then Z cannot be a part of the team. 1. What are the number of possibilities? 2. If T comes in the team who are its members?
Selection Answer:
1.
2 ways (UTXY, UZXY)
2.
UTYX
Problem 6 The office staff of XYZ corporation presently consists of three bookkeepers--A, B, C and 5 secretaries D, E, F, G, H. The management is planning to open a new office in another city using 2 bookkeepers and 3 secretaries of the present staff . To do so they plan to separate certain individuals who don't function well together. The following guidelines were established to set up the new office
Cont….
Problem 6 I.
II.
III.
IV.
Bookkeepers A and C are constantly finding fault with one another and should not be sent together to the new office as a team. C and E function well alone but not as a team, they should be separated. D and G have not been on speaking terms and shouldn't go together. Since D and F have been competing for promotion Cont… they shouldn't form a team.
Problem 6 1.
2.
3.
If A is to be moved as one of the bookkeepers, which of the following cannot be a possible working unit. a) ABDEH b) ABDGH c) ABEFH d) ABEGH If C and F are moved to the new office, how many combinations are possible a) 1 b) 2 c) 3 d) 4 If C is sent to the new office, which member of the staff cannot go with C a) B
b) D
c) F
d) G
Cont…
Problem 6 4. Under the guidelines developed, which of the following must go to the new office a) B
b) D c) E d) G
5. If D goes to the new office, which of the following is/are true I. C cannot go II. A cannot go III. H must also go a) I only
b) II only c) I and II only d) I and III only
Selection Answers: 1. 2. 3. 4. 5.
B A B A D
Problem 7 A team is to be selected from the hockey players available from the Circuit. The selection team would require at least four people. There are three coaches A,B,C and three selectors D,E,F available. But there schedules do not match . A cannot come if D is selected. If C is selected F should also be selected. If E is selected B should not be selected. What is the team? (Wipro)
Selection Answer:
1. ACFE or DCFB
Problem 8 In a film festival Amitabh ,SRK, Kamal hassan , Hrithik and Subhash Ghai , Maniratnam and Yash Chopra are available as judges. A team of three is to be sent. The team must contain at least one actor and one director. If SRK is selected Kamal Hassan should also be selected and vice versa, If Amitabh is selected Subhash Ghai cannot be selected. If Hrithik is selected Maniratnam is also selected and vice versa. What should be the team if Amitabh is selected ? (Wipro)
Selection Answer:
Hrithik, Amitabh, Maniratnam
Problem 9 From a group of six boys M, N, O, P, Q, R and five girls G, H, I, J, K a team of six is to be selected. Some of the criteria of selection are as follows: M and J go together O cannot be placed with N I cannot go with J N goes with H P and Q have to be together K and R go together Cont…
Problem 9 If the team consists of two girls and I is one of them, the other members are? a) GMRPQ b) HNOPQ c) KOPQR d) KRMNP 2. If four members are boys, which of the following cannot constitute the team? a) GJMOPQ b) HJMNPQ c) JKMNOR d) JKMPQR 3. If the team has three girls including J and K, the members of the team are? a) GHNR b) MNOG c) MORG d) NHOR 1.
Selection Answer: 1. c) KOPQR 2. c) JKMNOR 3. c) MORG
Problem 10
Final year students plan to go for project which consist of 5 members ( 3 from A group and 2 from B group) based on the condition. There are two groups, group A consist of 6 members M N O P Q R and group B consist of 5 members V W X Y Z. conditions for selection are, i) M does not come , Z & O should come ii) X and Y remains together iii) R and V cannot go together iv) N is always go with Z v) Q always go with W Cont….
Problem 10 vi) vii)
O can not go with V O and P are together
If M is not there in the team, the team consist of? 2. If Q is there, who cannot be there in that team? a) X & Y b) R & V c) V & W 1.
Selection
Answer: 1. OPNZV 2. X & Y
Seating Arrangement
Introduction •
Manner in which people are seated at a particular Place.
•
Draw a Shape which is given in the question and arrange them according to the conditions given.
Problem 1 P,Q,R,S,T are 5 people who sit in a round table. P sits two tables to the left of R and Q sits two tables to the right of R. 1.If S is in between Q and R what is the arrangement? 2.How many different arrangements are possible? 3.If S is not sitting between Q and R then who is sitting between Q and S?
Seating Arrangement Answer:
Either P is sitting when viewed anticlockwise or T and R when viewed clockwise.
Problem 2 5 members are sitting on a circle. One person between M & P. Q is immediate right of M, who is to the immediate right of O?
Seating Arrangement Answer: Q is to the immediate right of M, who is immediate right of O means M is immediate right of O
Problem 3 Six friends A, B, C, D, E and F are sitting in a closed circle facing the centre. E is to the left of D. C is between A and B. F is between E and A. 1.Who
is to the left of B?
2.Who
is to the right of C?
Seating Arrangement Answer: 1.
Left of B is D
2.
Right of C is A
Problem 4 Five girls are standing in a circle facing the centre. Sumitha is between Lata and Asha. Mamta is to the right of Lata. 1.Who
is to the left of Asha if Rajini is the fifth
girl? 2.If
Sumitha and Mamta interchange their
positions who will be fourth to the left of Rajani?
Seating Arrangement Answer: 1. Rajni. 2. Asha
Problem 5 6 people A,B,C,D,E and F sit around a table for dinner. Since A does not like C, he doesn't sit either opposite or beside C. B and F always like to sit opposite each other. 1.
If A is beside F then who are the two neighbors
of B? 2.
If D is adjacent to F then who is adjacent to C?
Seating Arrangement Answer:
1.
D and E
2.
E and B (or) D and B
Problem 6 Six friends A, B, C, D, E and F are sitting in a closed circle facing centre. E is to the left of D. C is between A and B. F is between E and A. 1.
Who is to the left of B?
2.
Who is to the right of C?
Seating Arrangement Answer: 1. 2.
D A
Problem 7 Mr. A, Miss B, Mr. C and Miss D are sitting around a table and discussing their trades. i) Mr. A sit opposite to cook ii) Miss. B sits right to the barber iii)The washer man is on the left of the tailor iv)Miss. D sits opposite Mr. C. 1. What are the trades of A and B? a) Tailor and Barber b) Tailor and Cook c) Barber and Cook d) Washer man and Cook
Seating Arrangement Answer: b) Tailor and Cook
Problem 8
Eight persons E, F, G, H, I, J, K and L are seated around a square table – two on each side. There are three lady members and they are not seated next to each other. J is between L and F. G is between I and F. H, a lady member, is second to the left of J. F, a male member is seated opposite E, a lady member. There is a lady member between E and H? 1.Who is seated between E and H? 2.How many persons are seated between K and F? 3.Who is sitting immediate left of F? Cont…
Problem 8 4. Who among the following are the three lady members? a) E, G and J b) E, H and G c) G, H and J 5. Which of the following is true about J? a) J is a male member b) J is a female member
Seating Arrangement Answer: 1. K 2. Three 3. J 4. E, H and G 5. J is a male member
Problem 9 P, Q, R, S and T are sitting in a circle facing the centre. R is immediate left of T. P is between S and T. 1.Who
is to the immediate left of R?
Seating Arrangement Answer:
Q
Problem 10 A, B, C, D, E and F are seated in a circle facing the centre. D is between F and B. A is second to the left of D and second to the right of E. 1.Who is facing A? 2.Who among the following is facing D? a) A b) C c) E d) cannot be determined
Seating Arrangement Answer: 1. 2.
B b) C
Problem 11 Eight friends A, B, C, D, E, F, G and H are sitting in a circle facing centre. B is sitting between G and D. H is third to the left of B and second to the right of A. C is sitting between A and G and B and E are not sitting opposite to each other. 1.Who is third to the left of D? 2.Which of the following statement is not correct? a) C is third to the right of D b) A is sitting between C and F c) E is sitting between F and D.
Seating Arrangement Answer: 1. 2.
A E is sitting between F and D
Problem 12 Eight friends J, K, L, M, N, O, P and Q are sitting around a circle facing the centre. J is not the neighbour of N. L is third to the right of K. Q is second to the left of N who is next to the right of L. O is not the neighbour of N or K and is to the immediate left of P. 1.Which of the following pair of persons represent O’s neighbours? a) L & N b) P & K c) M & P d) N & P Cont…
Problem 12 2. Who is to the immediate right of K? 3. Who is to the immediate left of O?
Seating Arrangement Answer: 1. M & P 2. J 3. M
Problem 13 Six friends A, B, C, D, E and F are seated in a circle facing each other. A is between D and B and F is between C and E. C is third to the left of B. 1.Who
is between B and F?
2.Who
is between F and D?
Seating Arrangement Answer: 1. E 2. C
Problem 14 Five girls are sitting in a row. Rashi is not adjacent to Sulekha or Abha. Anuradha is not adjacent to Sulekha. Rashi is adjacent to Monika. Monika is at the middle in the row. Then, Anuradha is adjacent to whom out of the following? a)Rashi b) Sulekha c) Abha d) Monika e) Cannot be determined
Seating Arrangement Answer: 1. a) Rashi
Problem 15 A group of eight members sit in a circle. D is between A and F and is opposite to G. E is to the right of A but on the left of C, whose right hand neighbour is G. B enjoys having H to his left and F to his right. Find the member who is diagonally opposite to A. a) B b) F c) G d) H
Seating Arrangement Answer: 1. d) H
THANK YOU Sreenivasa Chowdary Nellore M.B.A, [Director] NAREN’S Institute for Competitive Examinations, HYDERABAD. E-mail:
[email protected] m Mob: + 91 99123 31989, + 91 90593 14623
