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Analytical Reasoning
Blue Lotus
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
SUBJECT PREDICATE
UNIVERSAL AFFIRMATIVE
√ X
UNIVERSAL NEGATIVE
√ √
PARTICULAR AFFIRMATIVE
X X
PARTICULAR NEGATIVE
X √
- DISTRIBUTED X - UNDISTRIBUTED
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 No Some All All Some
Stat. 2 All No Many Some No No
Concl AllNo concl
No concl
Some NoSome , Not
Shortcuts
Stat. 1 UA UN PA PN UA UA UN
Stat. 2 UA UN PA PN PN PA PA
Con UANo
ConNo 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?
Answer:
Middle Seat : B or D
Linear sequencing
Problem 2M,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:
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
Linear
Sequencing
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) LCont…
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 (b) G and L (c) J and H
(d) L and O (e) M and J
4. To have the proper seating arrangement, K should sit between
(a)G and H (b) J and M (c) L and N
(d) J and N (e) J and L
Linear Sequencing
Answer:
1. H G KJ
2. J
3. b) G and L
4. e) J and L
Problem 7Six 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. d) A and F
2. E
3. 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:
1. Alok
2. Subodh
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 12A, 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
3. 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
Linear Sequencing
Answer:
1. G
2. G
3. a) AB
4. d) CF
Problem 13In 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. 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
2. 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 1P,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
cont…
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?
(Wipro 2008)
Double Line Up
Answer :
Profession of P is lady teacher
Problem 4There 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 LineupAnswer:
1. Mrs. C
2. Mr. A.
3. Mr. B.
4. Mr. E.
5. Ms. F.
6. Ms. D
Problem 6Five 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 61. Who can act as interpreter if Mr. C & Mr. D wish to
conversea) only Mr. A b) Only Mr. B
c) Mr. A & Mr. B d) Any of the other three
2. If a 6th executive is brought in, to be understood by maximum number of original five he should be fluent ina) English & French b) Italian & Spanish c) English & French d) French & Italian
Cont…
Double Lineup
Answer:
1. d) Any of the other three.
2. b) Italian & Spanish
Problem 7Spelunkers 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)
(a) I only (b) II only (c) I and III only
(d) II and III only (e) I, II and III
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 (b) 3 (c) 4 (d) 5 (e) 6
Double lineup
Answer:
1. C.
2. B
Problem 8There 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. Which two cities are historical places?
a) A and C b) B and F c) C and F d) B and E
3. 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
Double lineup
Answer:
1. b) E and F
2. c) C and F
3. d) B and D
4. a) E
Problem 9Five 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
1. 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?
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 11Six 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 Dry fruits or Ice cream. Cont…
Problem 12
1. What is the choice of Asha?
2. Which combination of month and item is true for Jayant?
3. What is the choice of Kamal?
4. 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
1. 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
Double lineup
Answer:
1. C
2. Blue
3. 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
1. 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
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 61. 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.
2. 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. (d)
2. (a)
3. (c)
4. (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 8Miss 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. Neelam
2. 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 Tuesdayiii)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
1. 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
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. L
2. O
Problem 13
i) Seven students P, Q, R, S, T, U and V take a series of tests.
ii) No two students get similar marks
iii) V always scores more than P
iv) P always scores more than Q
v) 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
1. 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
Ordering
Answer:
1. b) U is ranked third or fourth
2. c) fourth
Problem 14i) A, B, C, D, E and F are six students in a classii) B and C are shorter than F but heavier than Aiii) D is heavier than B and taller than Civ) E is shorter than D but taller than Fv) F is heavier than Dvi) A is shorter than E but taller than F.
1. Who is the tallest?2. 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. D
2. A
3. Data inadequate
4. 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?
SelectionAnswer :
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. Who is good in studies, general Knowledge, athletics and Arts?
2. Who is good in studies, General Knowledge and Mathematics?
3. Who is good in Athletics, General Knowledge and Mathematics?
4. Who is good in studies and General knowledge and Arts but not Athletics?
5. Who is good in studies, Mathematics and athletics?
Selection
Answer:
1. Deepa
2. Beena
3. Charu
4. Ela
5. Asha
Problem 4A 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. If Y is the most important chemical and must be used in
the formula, which other ingredients must be used?
2. 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
officeCont….
Problem 6
I. Bookkeepers A and C are constantly finding fault with one another and should not be sent together to the new office as a team.
II. C and E function well alone but not as a team, they should be separated.
III. D and G have not been on speaking terms and shouldn't go together.
IV. Since D and F have been competing for promotionthey shouldn't form a team.
Cont…
Problem 61. 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) ABEGH2. If C and F are moved to the new office, how many
combinations are possible
a) 1 b) 2 c) 3 d) 43. If C is sent to the new office, which member of the
staff cannot go with C
a) B b) D c) F d) GCont…
Problem 64. 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 trueI. C cannot goII. A cannot goIII. H must also go
a) I only b) II only c) I and II only d) I and III only
Selection
Answers:
1. B
2. A
3. B
4. A
5. 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 togetherCont…
Problem 9
1. 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
Selection
Answer:
1. c) KOPQR
2. c) JKMNOR
3. c) MORG
Problem 10Final 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) O can not go with V
vii) O and P are together
1. 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
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. D
2. 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 8Eight 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. B
2. 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. A
2. 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
