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Logical Reasoning Blue Lotus
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Topics To Be Discussed Family tree Codes Conditionality and Grouping
Series Direction Sense Statement Logic
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Family Tree
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Introduction Hierarchical structure of a family.
It is called as Blood relations problems. Identify genders by different notation.
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Problem 1 There are six members in a family A,B,C,D,E,F who are related to each other. B is F’s daughter-in-law. D is A’s only grand child. C is D’s only uncle. A has only 2 children F and C, one male and one female. E is father of C? Who is the grand mother of D? How many males and females are present?
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Family tree A is the grand mother of D
There are 3 males and 3 females in the family.
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Problem 2 A is B’s sister. C is the father of B and D is the mother of A. F is B’s child. F’s father is G. How is G related to A?
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Family tree Answer: As A and B are sisters and G is the husband of B we can easily find the solution. G is A’s brother in law.
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Problem 3 A,B,C,D,E,F. out of these we have 2 married couples. E is a teacher married to a doctor who is mother of C and F. B is a lawyer married to A. A has one son and one grand son. Of the two married ladies, one is housewife. We have one student and one male engineer. How is A related to C? Who is a housewife?
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Family tree Answer: A is C’s Grandmother.
Housewife in a family is also A.
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Problem 4 Showing a photograph Asha said “He is the brother of only daughter of my mother" and asked how is she related to him. (Wipro 2008).
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Family Tree Answer: She is pointing at her brother.
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Problem 5 A family has 7 members – 4 men and 3 women. They are L, M, N, O, P, Q, R. M is businessman and father of P. Q is doctor and paternal grandfather of P. N is Housewife and daughter in law of O. R is P’s uncle and an advocate. N is not P’s mother. O is not married to M. We have 3 married couples in the family, one architect, one pilot and a journalist too. If Q is the grandfather of pilot. What is his daughter in law’s profession? If O is the pilot and the journalist is not a female then what is P’s profession? Find the male members in that family?
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Family tree Answer: Cannot find Journalist QMRP
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Problem 6 A man shows his friend a woman sitting in a park and says “She is the daughter of my grandmother's only son”. What is the relation between the two members? (Infosys)
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Family tree Answer: Daughter
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Problem 7 Ram is the brother of shyam and Mahesh is the father of Ram. Jagat is the brother of Priya and Priya is the daughter of Shaym. Who is the uncle of Jagat?
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Family tree Answer: Ram
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Problem 8 A, B, C, D, E and F is a group of six persons of a family. The number of gents is the same as the number of ladies. A and E are sons of F. D is the mother of Two children of whom one is a boy and the other is a girl. B is the son of A. in this group there is only one pair of married persons.
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Problem 8 Find females in the family? Who is the uncle of C?
Who is the husband of D? Who are all the children of D? Who is the grand daughter of F?
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Family tree Answer: 1.CDF 2. E 3. A 4. BC 5. C.
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Problem 9 A family consists of five members A, B, C, D and E. E has two sons and unmarried daughter and a daughter – in – law. The daughter in law is an officer and her brother in law A is an engineer. C is a doctor. The sister of B is a violinist who has learned to play violin from B’s wife? Who is the daughter of E? How is A related to D? Who is the wife of B?
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Family tree Answer: C A is the brother in law of D D.
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Problem 10 Looking at a portrait of a man, Harsh said, “His mother is the wife of my father’s son. Brothers and sisters I have none”. At whose portrait was Harsh looking?
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Family tree Answer: His Son
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Problem 11 Rahul told Anand, ‘Yesterday I defeated the only brother of the daughter of my grandmother’. Whom did Rahul defeat?
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Family tree Answer: Father
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Problem 12 Deepak said to Nitin, “that boy playing with the football is the younger of the two brothers of the daughter of my father’s wife”. How is the boy playing football related to Deepak?
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Family tree Answer: Brother
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Problem 13 Neelam, who is Deepak’s daughter, says to Deepika, “your mother Rekha is the younger sister of my father who is the third child of Ramlal”. How is Ramlal related to Deepika?
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Family tree Answer: Grandfather
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Problem 14 A is the son of B. C, B’s sister has a son D and a daughter E. F is the maternal uncle of D. How is A related to D? How is E related to F? How many nephews does F have?
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Family tree Answer: Cousin Niece Two
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Problem 15 Shobha is the niece of Ashish. Ashish’s mother is Priya. Kamala is Priya’s mother. Kamala’s husband is Hari. Krishna is the mother – in – law of Hari. How is Shobha related to Hari?
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Family tree Answer: Great Granddaughter
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Codes
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Introduction Codes may be numerical or alphabets.
To decode – find the format of arrangement. The arrangement can be any one of the following 1. Reversed order 2. Gaps in between 3. +1and-1 format 4. Tree format
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Problem 1 The term FIRE is coded as DGPC, then how will SNOW be coded as?
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Codes Answer: SNOW can be coded as QLMU.
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Problem 2 SIKKIM is coded as THLJJL. Then how will TRAIN be coded as?
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Codes Answer: TRAIN can be coded as UQBHO
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Problem 3 In a certain code ‘Hit Bit Mit’ means ‘Git Rim Nit’ ‘Sit Pit Mit’ means ‘Lit Git Tit’ and ‘Fit Zit Pit’ means ‘Dit Vit Tit’. What does Sit stand for in that code language?
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Codes Answer: Sit coded as Lit
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Problem 4 If DIAMOND is “ VQYMKLV”, FEMALE is _____
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FEMALE will be coded as TUMYNU.
Codes Answer: FEMALE will be coded as TUMYNU.
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Problem 5 If the word VIOLENCE is coded as EVCINOEL. Find the code for SEPARATE? (Wipro 2008)
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Codes Answer: : ESTEAPRA
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Problem 6 If the word "CODING" is represented as DPEJOH , then the word "CURFEW" can be represented? (MBT)
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Codes Answer: dvsgfx
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Problem 7 If "segment" is coded as rffndou, what is the code for “ritual”. (Wipro)
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Codes Answer qhutbk
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? : BGLQ : : YDIN : VAFK (Wipro)
Problem 8 ? : BGLQ : : YDIN : VAFK (Wipro)
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Codes Answer: EJOT
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Problem 9 In a certain code each letter is coded as A = D, B=E, C=F
What is the code for SHOOT? (BAAN)
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Codes Answer: VKRRW
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Problem 10 If DBMDVUUB = CALCUTTA Then BOMBAY = ? (BAAN)
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Codes Answer: ANLAZX
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Problem 11 In a certain code, TRIPPLE is written as SQHOOKD. How DISPOSE can be written in that code?
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Codes Answer: CHRONRD
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Problem 12 If the word PEARL is written as MBXOI, then how the word DIAMOND would be written in that code?
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Codes Answer: AFXJLKA
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Problem 13 In a certain code, SOLVED is written as LOSVDE. How WEIGHT will be written in that code?
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Codes Answer: IEWGTH
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Problem 14 If in a language INDIA is coded as JMEHB then in that language SOURAV will be coded as ?
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Codes Answer: TNVQBU
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Problem 15 In a certain code DUPLICATE is written as MRVFJFVBE. How is CARTOUCHE written in that code?
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Codes Answer: UTBEPFJDW
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Number Coding The one done before was alphabet coding now it is number coding. The usual format of coding is we follow the some steps as given below; 1. Coding starts from certain digit. 2. Coding in some series 3. Coding in the same numbers
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If Z=52 and ACT=48 what is BAT=?
Problem 1 If Z=52 and ACT=48 what is BAT=?
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Number coding Answer: A=2 B=4 C=6……Z=52 A+C+T=2+6+40=48
B+A+T=4+2+40=46
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Problem 2 FEED is coded as 6554, what will BREAD be coded as?
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Number coding Answer: FEED = 6554 BREAD =
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Problem 3 In certain code ‘Do not touch’ is , and Please do come is ’ ’. What is the code for touch?
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Number coding Answer: Do = 75 Not =46 Touch = 20 Please = 64 Do = 8
Come = 75 So touch = 20.
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Problem 4 If in a certain code BEAUTIFUL is coded as , BUTTER as , how is FUTURE coded in that code?
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Number coding Answer: 204097
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Problem 5 ENGLAND is written as and FRANCE as How will GREECE be written? (Infosys)
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Number coding Answer: 381191
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Problem 6 If in a certain code "RANGE" is coded as and "RANDOM" is coded as , then the code for the word "MANGO" would be? (MBT & Wipro)
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Number Coding Answer: 82543
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Problem 7 If the word FADENCOMT equals 345687921 then What is FEAT?
Find representation of 2998? (Wipro)
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Number Coding Answer: 3641 MOON
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Problem 8 If Raman is written as and Dinesh as , how will Mahaan be written?
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Number Coding Answer: 324225
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Problem 9 If H = 8, HE = 13, then “Hen” will be equal to?
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Number Coding Answer : HEN = 27
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Problem 10 If “Rose” is coded as 6821, “Chair” is coded as and “Preach” is coded as , what will be the code for “search” ?
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Number Coding Answer: 214673
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Problem 11 In certain code RAIL is written as 5796 and TAPE is written as how is PAIR written in that code?
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Number Coding Answer: 4795
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Problem 12 In a certain code language, GRAPE is written as and FOUR is written as How is GROUP written in that code?
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Number Coding Answer: 27685
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Problem 13 If FEED is coded as 4, what will be the code for BREAD?
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Number Coding Answer: 30/5 = 6
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Problem 14 If MACHINE is coded as , how will you code DANGER?
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Number Coding Answer:
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Problem 15 If MASTER is coded as , then POWDER will be coded as?
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Number Coding Answer: P- 16/9 = 7, O = 15/9 = 6 (remainder) 765459
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Conditionality And Grouping
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Introduction Conditions are given based on which the action takes place. There are four basic conditions. Based on them the decisions are made. Based on this conditions the groups are formed.
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Conditions If A occurs then B also will occur
If A occurs then B will not occur If A has not occurred then B will occur If A has not occurred then B also will not occur
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Problem 1 From a group of 6 boys A,B,C,D,E,F and 5 girls L,M,N,O,P a group of 6 is to be selected based on the following conditions: 1.O and P have to be together 2.C cannot go with O 3.A and D have to be together 4.D cannot go with L 5.C and M have to be together 6.Band N have to be together 7.B and E cannot be together Contd..
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Problem 1 If the team consists of four girls the members of the team are: i) BELNOP ii) EFLNOP iii) BFLNOP If the team consist of 5 boys and 1 girl that girl would be: i) L ii) M iii) N iv) O
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Conditionality and grouping
Answer: D and A cannot be there. So (iii)BFLNOP If B is selected 2 girls M and N have to be selected. So B is rejected and M is selected.
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Problem 2 There are 5 students who go for a trip (A,B,C,D,E). Only 3 are selected from the 5 for next trip who are they? If A goes B,C cannot join B goes D also goes E is always with A C does not join E
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Conditionality and grouping
Answer: As given it can be inferred that the only possible combination is BCD.
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Problem 3 Coach balkishan is trying to put together a team of four players for a tennis tournament. He has seven players available: males A, B, C and females M,N, O and P. All players are of equal ability, and there must be at least two males in the team. For a team of four, all players must be able to play with each other player. Cont…
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Problem 3 Player B cannot play with player M, player C cannot play with player P, player M cannot play with player O. If player O is selected and player B is rejected, the team will consist of which foursome? If player M is in the team, which other players must be in the team as well?
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Conditionality and Grouping
Answer: A, C, P and O. A, C and N.
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Problem 4 From amongst 5 boys P, Q, R, S,T and 4 girls A, B, C, D a team of five should be selected. Conditions given: P and S are to remain together. Q cannot remain together with B or C R and A have to remain together. T cannot remain with A or D. Cont…
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Problem 4 If Q is selected, then the other members are?
a) APRS b) ADRS c) BCPT d) ABCDR If three members are girls the team is? a) ABCRT b) ACDRS c) BCDRS d) ABCDR 3. If the four members are to be boys and one member is A, then the remaining members of the team are? a) BCPST b) ABPRS c) CDPRS d) ACPRS
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Conditionality and Grouping
Answer: APRS BCDPS PQRS
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Problem 5 2 collectors, Frank and Gloria are each selecting a group of three wildlife prints from a group of 7 prints T, U, V, W, X, Y and Z. No print can be in both groups. The selections made by Frank and Gloria are subject to the following restrictions. If U is in Frank’s group, W must be in Gloria’s group If X is in Frank’s group, Z must be in Gloria’s group. T and Z cannot be in the same group. W and Y cannot be in the same group. Cont…
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Problem 5 If X is in Frank’s group, of the following could be in Gloria’s group except a) T b) U c) V d) W e) Z 2. Which of the following pairs of groups selected by Frank and Gloria conform to the restrictions? a) Fr – TUV Gl - WXY b) Fr - TUZ Gl – VWX c) Fr – UXZ Gl – TWY d) Fr – VWX Gl – UYZ 3. If U is in Frank’s group, which of the following is true? a) T must be in Frank’s group b) Y must be in Frank’s group c) Y cannot be in Frank’s group
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Conditionality and Grouping
Answer: a) T d) Fl – VWX Gl – UYZ C) Y cannot be in Gloria’s group.
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Problem 6 Mr. Pict must accommodate seven tour group passengers in two four – person cabins on the S.S. Gallia. Each passenger in a cabin must be able to converse with at least one passenger, though not necessarily in the same language A, an Etruscan, also speaks Gothic and Hittite B and F are Hittites and speak only that language C, an Etruscan also speaks Gothic D and G are Goths and speak only Gothic E, an Etruscan also speaks Hittite Hittites refuse to share rooms with Goths Cont…
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Problem 6 Which combinations of passengers in one of the cabins will result in a rooming arrangement that satisfies all conditions for both cabins? a. B, C, F b. D, E, G c. A, D, E, G d. C, D, E, G e. A, B, C, F 2. Which cannot be true, given the conditions as stated? I. C cannot room with A II. Any cabin containing three persons must include A III. E must always room with a Hittite a. I only b. II only c. I and III only d. II and III only e. I, II, III
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Problem 6 3. How many different combinations of cabin mates satisfy all conditions? a. 2 b. 3 c. 4 d. 5 e. 6
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Conditionality and Grouping
Answer: D E C
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Problem 7 From amongst six boys A, B, C, D, E and F and five girls P, Q, R, S and T, a team of six is to be selected under the following conditions: A and D have to be together. C cannot go with S. S and T have to be together. B cannot be teamed with E. D cannot go with P. B and R have to be together. C and Q have to be together. Cont….
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Problem 7 If there be five boys in the team, the lone girl member is?
If including P, the team has three girls, the member are? If four members have to be girls, the members of the team are? If the team including C consist of four boys, the members of the team other than C are?
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Conditionality and Grouping
Answer: Q B C F Q R B F P R S T A B D Q R
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Problem 8 There are five men A, B, C, D and E and six women P, Q, R, S, T and U. A, B and R are advocates; C, D, P, Q and S are doctors and the rest are teachers. Some teams are to be selected from amongst these eleven persons subject to the following conditions; A, P and U have to be together B cannot go with D or R. E and Q have to be together C and T have to be together D and P cannot go together C cannot go with Q Cont…
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Problem 8 If the team is to consist of two male advocates, two lady doctors and one teacher, the members of the team are? If the team is to consist of one advocate, two doctors, three teachers and C may not go with T, the members of the team are? a) A E P Q S U b) A E P Q T U c) B E Q S T U If the team is to consist of one advocate, three doctors and one male teacher, the member of the team are?
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Conditionality and Grouping
Answer: A B P U S b) A E P Q T U D E Q R S
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Problem 9 A team of 3 reporters is to be chosen from amongst two groups. M, N, O and P are the members of the group x whereas ABC are the members of the group Y. the selected team just have one member from each group. In addition O refers to work unless A works If M works only then B works C will not work if M works If O does not work, M will not work Cont…
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Problem 9 Which of the following teams cannot be selected?
M O A b) M B C c) N P C d) None of these 2. Which of the following cannot work with M? N b) O c) P d) A A team having B and C will also have, Only N b) Only O c) N, O and P d) O and P 4. If A is the member of the team who others will be in the team? a) A B b) O M c) P C d) N B
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Conditionality and Grouping
Answer: b) M B C a) and c) {N and P } a) Only b) O M
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Conditionality and Grouping
Company plan to do a new project which is consist of 2 engineers, 3 managers and 1 executives from 4 engineers ( A B C D), 5 managers ( P Q R S T ), 3 executive ( X Y Z). Engineer A does not work with P and X Manager S and Executive Y work together Engineer B does not work with manager T Manager Q does not work with manager S R works with Z, X works with Q B and D remains together D does not work with Q and T Cont….
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Conditionality and Grouping
State the possibilities of forming team? Who must be there in the team what ever may be the possibilities?
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Conditionality and Grouping
Answer: i) A C R S T Y ii) B D P R S Y R & Y
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Series
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Introduction Series involves the numbers or alphabetic, that are arranged in a particular sequence. The sequence can be any of the following; 1.ascending 2.descending 3.gap 4.squares and cubes 5.+/- order series
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Problem 1 Fill in the series 13,32,24,43,35, __, 46, 65,57,76
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Series Answer: 54
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Problem 2 Fill in the series 4,6,12,14,28,30 ___?
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Series Answer: 60
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Problem 3 Fill in the series 9,12,11,14,13,_,15
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Series Answer: 16
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Problem 4 NLO : RPS : : ? : ZXA (Wipro)
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Series Answer: VTW
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Problem 5 90,180,12,50,100,200,___ 3,50,4,25,2,6,30,3
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Series Answer : 150
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Problem 6 5, 20, 24, 6, 2, 8, __ (Infosys)
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Series Answer: 12 (5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12).
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Problem 7 0, 2, 3, 5, 8, 10, 15, 17, 24, 26,__ (MBT)
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Series Answer: 35
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Problem 8 ___, ayw, gec, mki, sqo (MBT)
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Series Answer: usq
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Problem 9 2, 5, 9, 19, 37,__ (MBT)
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Series Answer: 75
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Problem 10 4, 11, 30, 67, __ (TCS)
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Series Answer: 128
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Problem 11 4832, 5840, 6848……
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Series Answer: Add 1008 = = 7856
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Problem 12 Find the number which is not matched properly in the above series? 1, 3, 5, 10, 17, 26….. a) 10 b) 17 c) 3 d) 26
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Series Answer: C) 3
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Problem 13 13, 32, 24,43,35, ?, 46, 65
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Series Answer: 13, 24, 35, 46….( added with 11)
= 54
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Problem 14 8, 9, 8, 7, 10, 9, 6, 11, 10, ?, 12….
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Series Answer: ? = 5 ( add 1 in each)
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Problem 15 2/ √5, 3/5, 4/5√5…..
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Series Answer: = 1/5
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Direction Sense
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Introduction This gives the path followed to reach the required destination. The basic thing necessary here is the NORTH,SOUTH,EAST,WEST directions to find the path. N W E S
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Problem 1 A travels a distance of 5km north and then he travels 8km east then he travels 6km north and then he travels 2km south. So where is he from the start?
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Direction Sense Answer: The direction is NE.
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Problem 2 If Ram travels 5km by walk towards north and 6 km west by cycle and 11km south by bike and 22km east by car. Where is he from start?
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Direction Sense Answer: He is in SE direction.
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Problem 3 The door of my house faces east. I walk from my back door 100 m, then right and walk 100 m and turn left and walk 50m and reach a point X. In which direction am I from the starting point?
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Direction sense Answer: North West
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Problem 4 A child is looking for his father. He went 90m in the east before turning to his right. He went 20m before turning to his right again to look for his father at his uncle’s place 30m from his point. His father was not there. Form there, he went 100m to his north before meeting his father in a street. How far did the son meet his father from starting point?
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Direction sense Answer : 100 metres
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Problem 5 In a room 4 persons are there like A,B,C,D. A is to the east of B, B is to the north of C, C is to the west of D, and D is to the south of A. Then how C is directed to A? (Accenture 2007)
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Direction Sense Answer : Northeast
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Problem 6 A man walks east and turns right and then from there to his left and then 45 degrees to his right. In which direction did he go? (Infosys)
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Direction Sense Answer: North west
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Problem 7 A person travels 6km towards west, then travels 5km towards north, then finally travels 6km towards west. Where is he with respect to his starting position?
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Direction Sense Answer: 13km northwest
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Problem 8 A starts from his office and walks 3 km towards north. He then turns right and walks 2km and then turns right and walks 5km then turns right and walks 2 km and then again turns right and walks 2 km. In which direction is he from the starting point?
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Direction Sense Answer: South
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Problem 9 A’s office is situated 5 km North from B’s office. B starts from his office and walks 2 km towards A’s office. He then turns right and walks 3 km and then turns and walks 3 km. To which direction will he turn to reach A’s office?
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Direction Sense Answer: East Direction
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Problem 10 Pradeep walks 10 metres westward, then turns left and walks 10 mtrs. He then again turns left and walks 10 mtrs. He takes a 45 degree turn rightwards and walks straight. In which direction is he walking now?
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Direction Sense Answer: West
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Problem 11 I am facing east. I turn 100 degree in the clockwise direction and then 145 degree in the anticlockwise direction. Which direction am I facing now?
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Direction Sense Answer: North - East
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Problem 12 Radha moves towards South east a distance of 7 m, then she moves towards west and travels a distance of 14 m. From here, she moves towards North west a distance of 7 m and finally she moves a distance of 4 m towards East and stood at that point. How far is the starting point from where she stood?
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Direction Sense Answer: = 10 metres
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Problem 13 One evening before sunset two friends Sumit and Mohit were talking to each other face to face. If Mohit’s shadow was exactly to his right side, which direction was sumit facing?
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Direction Sense Answer: South
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Problem 14 If south – east becomes North, North – east becomes West and so on, what will West become?
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Direction Sense Answer: South - east
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Problem 15 Lokesh’s school bus is facing North when it reaches his school. After starting from Lokesh’s house, it turns right twice and then left before reaching the school. What direction was the bus facing when it left the bus stop in front of Lokesh’s house?
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Direction Sense Answer: West
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Statement logics Analysis and interpretation of data in the statements are necessary This helps in inferring the answers Types: 1) Conclusions 2) Assumptions 3) Arguments
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Statement-Conclusions
In question has a statement and two conclusions. Analyse the conclusions and give answers. a) if conclusion 1 follows b) if conclusion 2 follows c) if neither 1 nor 2 follows. d) both 1 and 2 follows
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Example 1 Statement: Quality has a price tag. India is allocating lot of funds for education Conclusions: Quality of education in India would improve soon 2) Funding alone can enhance Quality of education
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Example 2 Statement: No new taxes are proposed in the revised budget.
Conclusions: The country has a balanced economy. 2) The country has a surplus
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Example 3 Statement: No country is self-sufficient in absolute terms in the present era. Conclusions: It is not possible to grow and produce all the things that a country needs. 2) Efficiency of people has decreased worldwide.
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Example 4 Creating employment opportunities is the best way to make people out of poverty in India. Conclusions: Unemployment is a cause of poverty in India 2) Employment opportunities are few and far in India
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Example 5 It cannot be done Conclusions: It is impossible
2) We can do nothing
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Statement- Arguments Each questions given below has 1 statement and two arguments.we should decide which of the arguments is strong Give answer: If only 1 is strong If only 2 is strong If neither 1 or 2 is strong If both 1 and 2 is strong
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Example 1 Should Private sector be permitted to operate telephone services? Arguments: Yes, they are operated in advanced western countries 2) No, It is risky to put them in private hands
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Example 2 Should the political parties be banned? Arguments:
Yes, it is necessary to teach a lesson to the politicians 2) No, it will lead to an end of democracy
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Example 3 Traditional culture is better than the new culture.
Arguments: Both have their good points as well as weak points. 2) The new culture is ruining society.
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Example 4 Every institution should be state – owned. Arguments:
It will kill private enthusiasm. 2) People will not be serious to work hard.
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Example 5 Should there be one government for the whole world?
Arguments: Yes, it will lead to a better control of wars in the world. 2) No, because the weaker nations will be devoured by the strong nations.
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Statement- Assumptions
Each question contains 1 statement and 2 assumptions. Check the data and answer. Give answer: a) If only 1 implicit b) If only 2 implicit c) Both 1 and 2 implicit d) Neither 1 nor 2 implicit
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Example 1 Statement: The pen is mightier than the sword Assumptions:
1) The pen is made up of stronger metal than the sword 2) The power of the mind is much stronger than brute physical power
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Example 2 Statement: Go and get the file, an officer orders his subordinate Assumptions: 1) The file is confidential 2) The subordinate knows where the file is
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Example 3 Statement: One can't get to the top overnight. Perseverance and patience are required. Assumptions: 1) People aim to get to the top. 2) Sustained efforts can get one to the top.
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-Advertisement of a photo- studio
Example 4 Statement: If you are beautiful we will catch your beauty. If you are not beautiful, we will make you look beautiful. -Advertisement of a photo- studio Assumptions: 1) People like to be considered beautiful. 2) A photograph can make one look beautiful even if the person is not so.
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Example 5 Statement: Happiness is to be shared. Unhappy people suffer.
Assumptions: 1) Unhappy people share sufferings. 2) Happy people do not suffer.
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