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Ranking & Ordering - Advanced Level: common mistakes to avoid ADVANCED

Master ranking & ordering concepts through this hard problem set practice set. Worksheet 26 of 30 contains 20 advanced-level problems. Deep dive into common mistakes to avoid while learning exam preparation, competitive exams, aptitude training. Recommended for advanced learners aiming for complex scenarios and multi-step problems.

📝 Worksheet 26 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
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Worksheet 26 of 30 (86% complete)

Question 1

At the Olympics, USA, China, Russia, Germany, UK competed. Germany has more gold medals than UK. Russia has more silver medals than Germany. China has more silver medals than Russia. If Gold=3, Silver=2, Bronze=1 points, which country is ranked 2nd?
Medal counts: USA: 10G, 5S, 3B = 43pts, China: 7G, 8S, 6B = 43pts, Russia: 10G, 5S, 3B = 43pts, Germany: 11G, 3S, 1B = 40pts, UK: 6G, 5S, 10B = 38pts. Gold=3pts, Silver=2pts, Bronze=1pt. Ranking by points: USA > China > Russia > Germany > UK. Therefore, China is correct.
ordering, olympiad, medals, weighted_scores

Question 2

In a queue of 46 people, Ram is 14th from the left and Sita is 15th from the right. There is an odd number of people between them. Gita stands exactly in the middle of Ram and Sita. What is Gita's rank from the right?
Rank(Sita,L) = 46 - 15 + 1 = 32. Between = 32 - 14 - 1 = 17 (odd). Gita is central, so Rank(Gita,L) = 14 + (17//2) + 1 = 23. Rank(Gita,R) = 46 - 23 + 1 = 24.
ordering, distance_calculation

Question 3

Six people sit in a row. Initially, they are in some order. First, the persons at positions 1 and 2 swap places. Next, the persons at positions 4 and 6 swap places. After these swaps, who sits immediately to the right of D?
Final order after swaps is: E C D F G B. D is at position 3; the person to the right is F.
ordering, swap_inference

Question 4

At the Olympics, USA, Germany, China, UK, France competed. USA has more silver medals than France. France has more total points than UK. How many more gold medals does Germany have than UK?
Medal counts: USA: 5G, 9S, 8B = 41pts, Germany: 7G, 8S, 6B = 43pts, China: 7G, 8S, 6B = 43pts, UK: 9G, 4S, 2B = 37pts, France: 11G, 3S, 1B = 40pts. Gold=3pts, Silver=2pts, Bronze=1pt. Ranking by points: Germany > China > USA > France > UK. Therefore, 2 is correct.
ordering, olympiad, medals, weighted_scores

Question 5

Six students P, Q, R, U, S, T took a test. U scored higher than R. R scored higher than P. P scored higher than Q. Q scored higher than S. Who ranked 3rd?
From the comparative scores, the descending order is: U > R > P > Q > S > T. Hence, 3rd is P.
ordering, comparative_scores

Question 6

Five people I, G, J, H, and F are compared by Height and Age. i) H is older than J but shorter than G. ii) I is the tallest, but not the oldest. iii) F is older than I. iv) J is not the shortest, and G is the youngest. Who are the oldest and the shortest respectively?
Age: From (iii) J > F, and (ii) says F is not oldest, so J is oldest. Clue (iv) sets G as youngest. Also (i) gives I > H. A valid age order is F > I > H > J > G. Height: (ii) makes F tallest; (i) ensures G taller than I; (iv) H not shortest. A valid height order is I > J > G > H > F. Thus, oldest is F and shortest is F.
ordering, multi_variable, puzzles

Question 7

At the Olympics, China, USA, UK, Japan, Russia competed. UK has more total points than China. Russia has more gold medals than USA. USA has more bronze medals than UK. How many more gold medals does Russia have than Japan?
Medal counts: China: 6G, 5S, 10B = 38pts, USA: 5G, 9S, 8B = 41pts, UK: 11G, 3S, 1B = 40pts, Japan: 6G, 5S, 10B = 38pts, Russia: 7G, 8S, 6B = 43pts. Gold=3pts, Silver=2pts, Bronze=1pt. Ranking by points: Russia > USA > UK > China > Japan. Therefore, 1 is correct.
ordering, olympiad, medals, weighted_scores

Question 8

Five people H, G, F, J, and I are compared by Height and Age. i) J is older than F but shorter than G. ii) H is the tallest, but not the oldest. iii) I is older than H. iv) F is not the shortest, and G is the youngest. Who are the oldest and the shortest respectively?
Age: From (iii) J > F, and (ii) says F is not oldest, so J is oldest. Clue (iv) sets G as youngest. Also (i) gives I > H. A valid age order is I > H > J > F > G. Height: (ii) makes F tallest; (i) ensures G taller than I; (iv) H not shortest. A valid height order is H > F > G > J > I. Thus, oldest is I and shortest is I.
ordering, multi_variable, puzzles

Question 9

For a project: Shower before Breakfast; Wake Up before Shower; Breakfast before Commute. Which event must happen immediately after Wake Up?
Event order: Wake Up → Shower → Breakfast → Commute → Work Start. Total time = 90 minutes.
ordering, scheduling, constraints

Question 10

Five friends A, B, C, D, and E are standing in a single row facing North. i) D is exactly in the middle of the row. ii) E is not at any end. iii) B is to the immediate left of C. iv) A is at one of the ends. v) E is to the immediate right of D. Who is standing at the left end?
From (i), D is at position 3. From (v), E must be at position 4. (iii) places B and C as consecutive with B left of C at positions 1 and 2. (iv) puts A at the remaining end, position 5. Final order: B C D E A. Left end is B.
ordering, arrangement_logic

Question 11

Seven students B, E, C, I, H, F, D took an exam. E and H are tied at rank 1. C and I are tied at rank 3. What is the rank of D?
The ranking distribution is: E(1), H(1), D(2), C(3), I(3)... two people tied for 1st, two tied for 3rd. 2 is the correct answer.
ordering, ties, ranking

Question 12

Five people I, F, G, H, and J are compared by Height and Age. i) H is older than G but shorter than F. ii) I is the tallest, but not the oldest. iii) J is older than I. iv) G is not the shortest, and F is the youngest. Who are the oldest and the shortest respectively?
Age: From (iii) J > F, and (ii) says F is not oldest, so J is oldest. Clue (iv) sets G as youngest. Also (i) gives I > H. A valid age order is J > I > H > G > F. Height: (ii) makes F tallest; (i) ensures G taller than I; (iv) H not shortest. A valid height order is I > G > F > H > J. Thus, oldest is J and shortest is J.
ordering, multi_variable, puzzles

Question 13

Seven students I, H, E, B, D, G, C took an exam. I and D are tied at rank 2. B and G are tied at rank 4. How many students scored higher than the person at rank 3?
The ranking distribution is: H(1), I(2), D(2), E(3), B(4)... two tied for 2nd, two tied for 4th. 3 is the correct answer.
ordering, ties, ranking

Question 14

For a project: Wake Up before Shower; Shower before Breakfast; Breakfast before Commute. Which event must happen immediately after Wake Up?
Event order: Wake Up → Shower → Breakfast → Commute → Work Start. Total time = 90 minutes.
ordering, scheduling, constraints

Question 15

Seven people A, B, C, D, E, F, G stand in a row facing North. i) A is two places to the left of C. ii) D is two places to the right of C. iii) B stands somewhere between A and D. iv) E is not at the extreme left and F is not at the extreme right. Who stands at the extreme left?
From clues i and ii, positions are: X _ Z _ Y (positions 1,3,5 or 2,4,6 or 3,5,7). Clue iii places W between X and Y. Clue iv eliminates positions 3,5,7 for left end. Therefore, X must be at position 1 (extreme left).
ordering, constraints

Question 16

Seven students I, G, C, E, H, F, A took an exam. C, H and F are tied at rank 3. How many students scored higher than the person at rank 3?
The ranking distribution is: A(1), I(2), C(3), H(3), F(3)... three tied for 3rd. 2 is the correct answer.
ordering, ties, ranking

Question 17

Among Z, R, X, Y, the following comparisons are known: R is older than X. X is older than Y. Y is older than Z. Who is the middle?
Chain of comparisons: R > X > Y > Z. Therefore, the middle is Y.
ordering, transitive, chains

Question 18

Among T, S, Y, X, V, Q, the following comparisons are known: Y is richer when compared with T. T is richer when compared with S. S is richer when compared with V. V is richer when compared with Q. Q is richer when compared with X. Who is the shortest?
Chain of comparisons: Y > T > S > V > Q > X. Therefore, the shortest is X.
ordering, transitive, chains

Question 19

Among V, Z, X, P, the following comparisons are known: V is faster than X. X is faster than Z. Z is faster than P. Who is the 3rd tallest?
Chain of comparisons: V > X > Z > P. Therefore, the 3rd tallest is Z.
ordering, transitive, chains

Question 20

Six people sit in a row. Initially, they are in some order. First, the persons at positions 1 and 2 swap places. Next, the persons at positions 4 and 6 swap places. After these swaps, who sits immediately to the right of G?
Final order after swaps is: E C G D A B. G is at position 3; the person to the right is D.
ordering, swap_inference
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