Logical Reasoning

This post gives you a few questions on logical reasoning for the UPSC civil services exam. It is an important part of the CSAT syllabus for the IAS prelims exam.

UPSC Reasoning Questions

CASELET 1

Direction for question 1 to 5: Questions are based on the following data. A fledgeling Manipuri film industry has only four actors, four actresses and four directors. The following tables provide some insight into the latest happenings at the industry.

Actors U V W X
Actresses M N O P
Directors ALPHA BETA GAMMA DELTA

Table 1 tells us how many movies a certain actress has done/is doing with a certain director this year while table 2 tells us about the total number of movies the actors have done with the four actresses.

TABLE 1
M N O P
ALPHA 2 0 1 1
BETA 1 2 0 1
GAMMA 2 0 2 0
DELTA 1 2 0 1
TABLE 2
M N O P
U 2 1 1 0
V 1 0 1 2
W 2 1 0 1
X 1 2 1 0

M and V act as the lead pair in director Delta’s movie. No two movies made by the same director have the same actor.

1) Who is the actress in director Beta’s movie starring V? a) O b)M c)P d) O or M

2) W and N are the lead pair in which director’s movie? a) Gamma b)Beta c) Delta d) Beta or Gamma

3) M and X are the lead pair in which director’s movie? a) Alpha b) Gamma c) Beta d) Alpha or Gamma

4) From the data provided, the lead pairs of how many movies can be exactly determined? a)16 b) 15 c)14 d) 12

5) Who plays the lead actor opposite O in director Gamma’s movie? a) V b) X c) U d) (V and U) or (V and X)

CASELET 2

Direction for question 6 to 10: Questions are based on the following data. The first table below indicates the number of slabs of flooring material sold by various branches of the company Ijo Ltd. Table 2 gives the break-up of the number of slabs sold by the branches of the company mentioned in the first table to 5 different people.

BRANCH GRANITE MARBLE VT
A 8 6 10
B 6 7 6
C 9 6 8
D 11 12 10
E 13 11 12

   TABLE 1

BUYER GRANITE MARBLE VT
EJAZ 6 9 7
DOLLY 7 8 7
TANVIR 11 9 10
AMITA 11 8 10
MUSKAN 12 8 12

 TABLE 2

Each person buys the slabs from at most two locations. Each branch can sell slabs to at most 2 people. Branch A has sold an equal number of slabs of each type to 2 different people. Number of slabs of each type sold to Amita by Branch E is two more than those sold by Branch C to Muskan. Number of slabs of each type sold by Branch D to Muskan is equal to the total slabs of that type sold by Branch C. Number of slabs of each type sold to Tanvir by Branch B is equal to the number of slabs of each type sold by Branch C to Muskan

6) How many Granite slabs have been sold to Ejaz from Branch C? a) 6                     b) 4                 c) 8                  d) None of these

7) What is the maximum number of slabs of any one type sold to any person from any branch of Ijo Ltd? a) 8                         b) 9                       c) 10                     d) 11

8) Who among the following has been sold the maximum number of slabs by Branch E? a) Amita                     b) Ejaz                 c) Tanvir                 d) Dolly

9) How many Marble slabs have been sold to Amita from Branch E? a) 0               b) 4               c) 6                d) 2

10) x= Number of Granite slabs sold by Branch C to Amita. y= Number of Marble slabs sold by Branch A to Tanvir. Find the correct relation a) x=y                 b) xy                   c) x=y/2

CASELET 3

Questions 11-15 Answer the questions based on the information given below

Gautam is preparing for a Common Entrance Exam(CEE) to get into his dream college for MBA. In his first Mock CEE, he scores 50 marks out of 100 in each of the four sections VA, QA, Reasoning and RC. Resolving to fare better, he burns the midnight lamp for the next 15 days after which he takes his second mock CEE. He also aims to score 20% more in Reasoning, 28% more in QA,44% more in VA and 12% more in RC In the second Mock CEE. Here the maximum marks are 25 for each section. The results are announced after 3 days and he observes that he has scored exactly what he has expected in two sections whereas he has exceeded his expectations in the other two sections. In one of those two sections, the percentage increase in marks was thrice that he aimed at and in the other section he scored 10 marks more than what he expected. After realizing that he could achieve his goal, he sat tight and set higher targets for the next Mock CEE.

11) What could the maximum percentage growth in marks in a single section be? a) 50%                             b) 66.66%                          c) 100%                        d) 92%

12) What is the maximum possible percentage growth in Gautam’s marks in Mock CEE 2 over Mock CEE 1? a) 25%                             b) 50%                                c) 60%                          d) 80%

13) If the overall percentage increase in marks in Mock CEE 2 is 52%, then how much does in score in RC in Mock CEE 2? a) 0%                               b) 36%                                c) 60%                          d) 42%

14) If Gautam had scored 5 marks more in each section than he had aimed at, then what would be his percentage growth in marks? a) 52%                             b) 62%                                c) 64%                          d) 66%

15) What could the minimum percentage growth in total marks in the two MOCK CEEs be? a) 21%                             b) 22%                                c) 30%                          d) 24%

CASELET 4

Direction for question 16 to 20: Questions are based on the following data.

P, Q, R, S, T, U and V are seven students whose pet dogs are standing in a row. The pets are numbered 1 to 7 from left to right. Neither P’s pet nor U’s pet are at the ends of the row. R’s pet is to the right of S’s pet. T and Q’s pets are adjacent to each other. V’s pet is among the three middle pets in the row. Q’s pet is not adjacent to R’s pet but it is one of the two pets between R’s and v’s pets.

16) Whose among the following can be pet no.2? a) T                        b) P                       c) Q                       d) S

17) Which pet belongs to U? a) no. 2                 b) no. 3                 c) no. 4                 d) Cannot be determined

18) If it is known that S’s pet is I’s pet’s immediate neighbour, then whose pet is to the immediate right of P’s pet? a) U                       b) V                       c) S                        d) R

19) Among the following, whose pet is nearest to S’s pet? a) R                        b) V                       c) U                      d) T

20) Among the following, whose pet is farthest from R’s pet? a)S                          b) P                       c) U                      d)Can not be determined

CASELET 5

Directions for questions 21 to 27: These questions are based on the following data.

Dinesh, Chaitra, Prashanti, Vinu, Utpal, Madhu and Arnab, all students of FMB college of Engineering; are studying together for CAT. At the end of the year, the following was observed of the performance of these seven students in the MOCK CATS they conducted among themselves over the year. Each of the students are assigned a rank based on their performance in a particular mock cat, rank 1 being the rank of the person with the highest score and rank 7 being the rank of the person with the least score. No two students got the same mark in any given MOCK CAT. Vinu always scored less than Utpal. In the Mock Tests where Prashanti scored the highest Madhu scored the least. Otherwise Madhu scored more than Prashanti. In the Mock tests where Chaitra stood first, either Arnab or Vinu scored the least. Otherwise, both Arnab and Vinu scored more than Chaitra. Dinesh always scored more than Utpal.

21) If Dinesh stood fourth, which of the following is a possible rank for Vinu? a) Second                     b)Fifth                             c) Third                              d)Sixth

22) If Madhu stood second in a Mock test, and Arnab scored more than Prashanti, but less than Chaitra who stood first who could have got the sixth rank? a) Vinu or Arnab       b)Prashanti or Vinu       c) Prashanti or Utpal      d)UtpalorChaitra

23) If Dinesh is ranked fifth in a mock test, which of the following in the order given, is a possible ranking for the first four places (each person below is identified by his or her initial)? a) CAMP                     b) ACMU                          c) CPAM                             d)PCUA

24) If it is given that Arnab is ranked second and Madhu fourth but Chaitra is in the first five ranks, who among of the following has to be in the third place? a) Utpal                       b)Chaitra                         c) Prashanti                        d)Dinesh

25) If we know that Aruna is ranked second and Madhuri fourth but Chidambara is in the first five ranks, which of the following can occupy the fifth place? a) Vinu or Prashanti      b) Utpal or Prashanti     c) Prashanti or Dinesh    d) Chidambara or Uma

26) Which o the following statements is always true? a) Dinesh is placed two ranks higher than Vinu b) Prashanti can never be ranked second. c) Chaitra can never be ranked third or fourth. d) Vinu can never be third.

27) If Chaitra is first and Prashanti is fifth but Vinu is not ranked last, then which of the following arrangements is not possible? a) Madhuri is ranked third. b) Uma is ranked fourth. c) Venuthan is ranked fourth. d) Dilip is ranked second.

CASELET 6

Directions for questions 28 to 31: Answer these questions based on the following data.

Nine cities – A through I – one connected with two way roads, which are between A & B; A & D; B & C; B & E; C & F; D & E; D & G; E & H; E & F; F & I; G & H and H & I. each road is 10 km in length.

28) If a person wants to go from A to I, by travelling through the least number of cities, then how many ways are available to him? a)4                     b)6                   c)8                        d)None of these

29) If a person wants to visit all the towns, each being visited exactly once, and if he wants to start at A, then how many ways are available to him? a)6                    b)8                 c)10                d)None of these

30) In how many ways can a man reach D, starting from A, such that the person does not visit the same city twice? a)5                    b)9                 c) 7                d)None of these

31) What is the longest possible distance to reach D, starting from A? Assume that no city can be visited twice. a) 60 km        b) 70 km       c)80 km        d)None of these

CASELET 7

Directions for question 32 to 36:Answer these questions based on the following data.

Each of five people – A, B, C, D and E – owns a house each in different cities among Bangalore, Madras, Jaipur, Delhi and Bombay and the colours of these houses are black, green, blue, white and red, not necessarily in that order. No two houses are of the same colour. It is also known that: A’s house is not black and it is not in Madras. B’s house is green and it is not in Jaipur. E’s house is not white and it is not in Bombay. C’s house is in Madras and it is not blue in colour. D’s house is not red and it is in Delhi.

32) If A owns a blue house, then E’s house can be a) red in Madras b)black house Bangalore c) black in Bombay d) red in Bombay

33) If A owns a white house in Bombay, then E’s house can be a) red in Bangalore b) blue in Bangalore c) Green in Bombay d) black in Jaipur

34) If A’s house in Bangalore is red and D’s house is white, then E owns a a) black in Bombay b) blue in Jaipur c) black in Jaipur. d) blue in Bombay

35) If E owns a red house in Bangalore and A’s house is white, then D owns a a) green in Delhi b) black in Delhi c) blue in Delhi d) red in Delhi

36) If B owns a house in Bangalore and C’s house is black, then A can own a a) white in Jaipur b) red in Jaipur c) blue in Bombay d) blue in Jaipur

CASELET 8

Directions for questions 37 to 41: Answer these questions based on the following data.

At the annual board meeting of Nephrologists organized by Panaca BT, there are 9 members (A to I). The senior-most Nephrologist D (the chairman) sits at the end of a rectangular table (smaller edge). Each of the two longer edges seats 4 members. H and F sit on either side of D and the nephrologist closest to him is E. C doesn’t sit on the same side as H. I sits to the right of the senior-most nephrologist

37) If I sits next to H, then which of the following is necessarily true? (a) F sits next to I. (b) C and I sit on opposite sides of the table (c) C sits next to F (d) C sits to the right of the chairman

38) If E wants to sit exactly opposite I, but not on the same side as F, (a) E sits to the right of the senior-most (b) F sits to the left of the senior-most (c) C sits to the right of the senior-most (d) H sits to the right of the senior-most

39) If A, B, C want to sit side by side, then (a) I sits on the same side as A, B, C. (b) F sits on the same side as G. (c) F sits on the same side as B. (d) H sits on the side other than E‘s side.

40) If C wants to sit between F and I, then which of the following is necessarily true? (a) H sits to the right of D (b) C sits to the right of D (c) A sits to the left of D (d) A sits to the right of D.

41) If A and B sit facing each other, farthest from the chairman, and C sits besides B, then which of the following is definitely false? (a) H and B sit on the same side of the table. (b) H sits to the right of D (c) C and I sit on the opposite sides of the table. (d) Both (a) and (c) above are definitely false.

CASELET 9

Direction for questions 42 to 44: Answer the questions based on the following information.

Sally and Sue have a strong desire to date Sam, they all live on the same street yet neither Sally nor Sue knows where Sam lives. The houses on this street are numbered 1 to 99. Sally asks Sam. “Is your house number a perfect square?” He answers. Then Sally asks. “Is it greater than 50?” He answers again. Sally thinks she now knows the address of Sam’s house and decides to visit. When she gets there, she finds out she is wrong. This is not surprising, considering Sam answered only the second question truthfully. Sue, unaware of Sally’s conversation, asks Sam two questions. Sue asks, “Is your house number a perfect cube?” He answers. She then asks, “Is it greater than 25?” He answers again. Sue thinks she knows where Sam lives and decides to pay him a visit. She too is mistaken as Sam once again answered only the second question truthfully. Sam’s house number is less than the numbers of the houses where Sue and Sally live, and that the sum of all three of their numbers is a perfect square multiplied by two.

42) What is Sally’s house number? (a) 64          (b) 81          (c) 25          (d) 24

43) What is Sue’s house number? (a) 64          (b) 81         (c) 55           (d) 54

44) What is Sam’s house number? (a) 45         (b) 55         (c) 65           (d) 72

CASELET 10

Directions for Questions 45 to 48:Answer the questions on the basis of the information given below.

On the surface of the Earth, the time zones are defined as the regions where the time of the day remains constant. The time zones change on the basis of each degree change in the longitude. Longitudes are imaginary lines which run on the surface of the earth from the North Pole to the South Pole. It is considered that 0° longitude (the reference point) is in Greenwich (Britain), which is considered to give us the Greenwich Mean Time (GMT). GMT is the reference for calculating time in different time zones around the world. Time of the day increases on moving towards East from Greenwich (indicated by degrees E) & decreases on moving towards West from Greenwich (indicated by degrees W). The relation between longitude and time is given by the following 1° change in longitude = 4 minutes change in time. The longitude for some countries is given in the table below. In this table all the longitudes that are mentioned are with reference to the country C, whose longitude is 20° W with respect to the original reference, i.e. Greenwich. logical_reasoning 45) If the time in Greenwich is 9:00 PM on Monday, then what will be the corresponding time in the country F. (a) 12:00 midnight (b) 1:20 AM on Tuesday (c) 11:00 PM on Monday (d) 10:30 PM on Monday

46) If there is a country G which is 2 hours ahead of C, then what will be its longitude with reference to the Greenwich? (a) 30° E (b) 30° W (c) 10° E (d) 10° W

47) A person catches a flight from country A at 11:00 AM on Sunday and the flight takes exactly 2 hours to reach F. At what time will the person reach country F? (a) 11:00 AM on Sunday (b) 1:00 AM on Sunday (c) 1:00 PM on Sunday d) 12:00 Noon on Sunday

48) A person takes a flight from country B to country D. How much time will it take for an aeroplane to complete the journey? (a) 192 min (b) 150 min (c) 60 min (d) Cannot be determined

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