100 practice questions on Puzzles & Arrangements from the Logical Reasoning section of the UPSC Prelims syllabus.
100 come with a written explanation and 68 are actual previous year questions.
Try the sample set below - the answer stays hidden until you ask for it.
5 Easy54 Medium41 Hard68 from past papers
Sample questions
Q1
Previous year questionhard
Consider the given information and answer the three items that follow.
Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet, indigo, blue, green, yellow and orange and arranged from left to right (not necessarily either kept or painted with the colours in the same order). Each box contains a ball of any one of the following six games: cricket, hockey, tennis, golf, football and volleyball (not necessarily in the same order). The golf ball is in violet box and is not in the box D. The box A which contains tennis ball is orange in colour and is at the extreme right. The hockey ball is neither in box D nor in box E. The box C having cricket ball is painted green. The hockey ball is neither in the box painted blue nor in the box painted yellow. The box C is fifth from right and next to box B. The box B contains volleyball. The box containing the hockey ball is between the boxes containing golf ball and volleyball.
Which one of the following boxes contains the golf ball?
AF
BE
CD
DNone of the above
Show answer and explanation
Correct answer: B - E
Box A holds tennis and box C holds cricket, so the remaining games (hockey, golf, football, volleyball) belong to B, D, E, F. Box B holds volleyball. Hockey is not in D or E, so hockey is in F. Golf is not in D, so among D and E the golf goes to E and football to D. Therefore the golf ball is in box E (which is the violet box). The hockey ball (F) lies between golf (E) and volleyball (B) in the row, consistent with the arrangement D-C-B-F-E-A.
Q2
Previous year questionmedium
Read the following passage and answer the question that follows:
A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this, 7 players are available: males A, B and C; and females W, X, Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.
If Y is selected and B is rejected, the team will consist of which one of the following groups?
AA, C, W and Y
BA, C, X and Y
CA, C, Y and Z
DA, W, Y and Z
Show answer and explanation
Correct answer: B - A, C, X and Y
B is rejected, so the only remaining males are A and C. The team needs at least 2 males, so both A and C must be in. Y is selected. Since W cannot play with Y, W is out. Since C cannot play with Z, Z is out. The only female left who can join A, C and Y is X. So the team is A, C, X and Y, which is option (b).
Q3
Previous year questionmedium
Directions: A, B, C, D, E, F and G are Lecturers from different cities - Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz., Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order). Further:
1. Lecturer from Kanpur is specialized in Geography.
2. Lecturer D is from Shillong.
3. Lecturer C from Delhi is specialized in Sociology.
4. Lecturer B is specialized in neither History nor Mathematics.
5. Lecturer A who is specialized in Economics does not belong to Hyderabad.
6. Lecturer F who is specialized in Commerce belongs to Srinagar.
7. Lecturer G who is specialized in Statistics belongs to Chennai.
Who of the following belongs to Hyderabad?
(a) B
(b) E
(c) Neither B nor E
(d) Cannot be determined as data are inadequate
AB
BE
CNeither B nor E
DCannot be determined as data are inadequate
Show answer and explanation
Correct answer: B - E
From the city assignments: C = Delhi, D = Shillong, F = Srinagar, G = Chennai, B = Kanpur (Geography), and the last two cities Hyderabad and Mumbai go to A and E. Since A does not belong to Hyderabad (clue 5), A = Mumbai and E = Hyderabad. Hence E belongs to Hyderabad. Answer: (b).
Q4
Previous year questionmedium
The letters A, B, C, D and E are arranged in such a way that there are exactly two letters between A and E. How many such arrangements are possible?
A12
B18
C24
D36
Show answer and explanation
Correct answer: C - 24
Exactly two letters between A and E means A and E occupy position pairs (1, 4) or (2, 5), and A and E can swap within each pair, giving 2 x 2 = 4 placements. The remaining letters B, C and D fill the three free positions in 3! = 6 ways. Total arrangements = 4 x 6 = 24, option (c). 12 misses the A-E swap, 18 has no valid construction, and 36 would require three position pairs when only two exist in a row of five.
Q5
Previous year questionmedium
Directions: A, B, C, D, E, F and G are Lecturers from different cities - Hyderabad, Delhi, Shillong, Kanpur, Chennai, Mumbai and Srinagar (not necessarily in the same order) who participated in a conference. Each one of them is specialized in a different subject, viz., Economics, Commerce, History, Sociology, Geography, Mathematics and Statistics (not necessarily in the same order). Further:
1. Lecturer from Kanpur is specialized in Geography.
2. Lecturer D is from Shillong.
3. Lecturer C from Delhi is specialized in Sociology.
4. Lecturer B is specialized in neither History nor Mathematics.
5. Lecturer A who is specialized in Economics does not belong to Hyderabad.
6. Lecturer F who is specialized in Commerce belongs to Srinagar.
7. Lecturer G who is specialized in Statistics belongs to Chennai.
Who is specialized in Geography?
(a) B
(b) D
(c) E
(d) Cannot be determined as data are inadequate
AB
BD
CE
DCannot be determined as data are inadequate
Show answer and explanation
Correct answer: A - B
Fixed subjects: A = Economics, C = Sociology, F = Commerce, G = Statistics. The remaining three subjects History, Geography and Mathematics must go to B, D and E. Clue 4 says B is neither History nor Mathematics, so B must be Geography. Since clue 1 says the Geography lecturer is from Kanpur, B is from Kanpur. Therefore the Geography specialist is B. Answer: (a).
Q6
Previous year questionhard
Eight students A, B, C, D, E, F, G and H sit around a circular table, equidistant from each other, facing the centre of the table, not necessarily in the same order. B and D sit neither adjacent to C nor opposite to C. A sits in between E and D, and F sits in between B and H. Which one of the following is definitely correct?
AB sits in between A and G
BC sits opposite to G
CE sits opposite to F
DNone of the above
Show answer and explanation
Correct answer: D - None of the above
Place A, then form the forced trios A between E and D (E-A-D) and F between B and H (B-F-H), with C and G filling the rest, while B and D avoid being adjacent or opposite to C. A brute-force check over all eight seats yields several valid arrangements (e.g. A,D,G,B,F,H,C,E and A,D,H,F,B,G,C,E). Testing each option: 'B between A and G', 'C opposite G', and 'E opposite F' each hold in some arrangements but fail in others, so none is DEFINITELY correct. Therefore the answer is None of the above.
Q7
Previous year questionmedium
Examine the information given in the following paragraph and answer the item that follows:
Guest lectures on five subjects, viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture.
Question:
Which lecture is scheduled between Statistics and English?
AEconomics
BHistory
CMathematics
DNo lecture
Show answer and explanation
Correct answer: B - History
The fixed schedule is Monday = Statistics, Tuesday = History, Wednesday = English, Thursday = Economics, Friday = Mathematics. Statistics (Monday) and English (Wednesday) have exactly one day between them, namely Tuesday, which is History. Hence (b).
Q8
Previous year questionmedium
Read the following passage and answer the question that follows:
A tennis coach is trying to put together a team of four players for the forthcoming tournament. For this, 7 players are available: males A, B and C; and females W, X, Y and Z. All players have equal capability and at least 2 males will be there in the team. For a team of four, all players must be able to play with each other. But, B cannot play with W, C cannot play with Z and W cannot play with Y.
If B is selected and Y is rejected, the team will consist of which one of the following groups?
AA, B, C and W
BA, B, C and Z
CA, B, C and X
DA, W, Y and Z
Show answer and explanation
Correct answer: C - A, B, C and X
B is selected, so W is out because B cannot play with W. Y is rejected. Among the remaining females, only X and Z are candidates. Testing the options that satisfy at least two males: A, B, C and W is invalid (B cannot play with W). A, B, C and Z is invalid (C cannot play with Z). A, B, C and X has no forbidden pair, so it works. Hence the team is A, B, C and X, option (c).
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