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Ranking & Ordering - Intermediate-Advanced Level: problem decomposition INTERMEDIATE-ADVANCED

Strategic expert challenge ★ for ranking & ordering: 20 intermediate-advanced-level problems. Worksheet 19 of 30 - Focus: problem decomposition. Develop expertise in exam preparation, competitive exams, aptitude training with step-by-step solutions. Ideal for advanced developing learners targeting advanced concepts with increasing complexity.

📝 Worksheet 19 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

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Worksheet 19 of 30 (63% complete)

Question 1

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 B?
Final order after swaps is: F G B E D A. B is at position 3; the person to the right is E.
ordering, swap_inference

Question 2

Six people C, B, F, A, D, E live in a 6-floor building (1=ground, 6=top). C lives above everyone else. F lives below everyone else. B lives above E. Who lives on the top floor?
Based on the clues, C is on the top floor (floor 6).
ordering, floors

Question 3

In a queue of 48 people, Ram is 10th from the left and Sita is 11th 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) = 48 - 11 + 1 = 38. Between = 38 - 10 - 1 = 27 (odd). Gita is central, so Rank(Gita,L) = 10 + (27//2) + 1 = 24. Rank(Gita,R) = 48 - 24 + 1 = 25.
ordering, distance_calculation

Question 4

For a project: Draft before Revise; Research before Draft; Revise before Submit. What is the earliest possible start time for Publish if Research starts at time 0?
Event order: Research → Draft → Revise → Submit → Publish. Total time = 480 minutes.
ordering, scheduling, constraints

Question 5

Robert and Sarah are parents. Their son Eve has a cousin named Diana from Robert's brother. Who is Diana to Eve?
Tracing the family tree: George → Robert → Eve. Therefore, George is the grandfather of Eve. In family hierarchy, grandparents are two generations above grandchildren.
ordering, family_tree, hierarchy

Question 6

John is the brother of Robert. Charlie is the son of John. How is Robert related to Charlie?
Tracing the family tree: George → John → Charlie. Therefore, George is the grandfather of Charlie. In family hierarchy, grandparents are two generations above grandchildren.
ordering, family_tree, hierarchy

Question 7

Seven students A, B, D, E, H, F, C took an exam. E and F are tied at rank 2. B and C are tied at rank 4. What is the rank of F?
The ranking distribution is: D(1), E(2), F(2), A(3), B(4)... two tied for 2nd, two tied for 4th. 2 is the correct answer.
ordering, ties, ranking

Question 8

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 9

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

Question 10

For a project: Wake Up before Shower; Breakfast before Commute; Shower before Breakfast. If all events happen sequentially with no gaps, what is the total minimum time? (Durations: {'Wake Up': 10, 'Shower': 15, 'Breakfast': 20, 'Commute': 45, 'Work Start': 0})
Event order: Wake Up → Shower → Breakfast → Commute → Work Start. Total time = 90 minutes.
ordering, scheduling, constraints

Question 11

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 B?
Final order after swaps is: D C B A G F. B is at position 3; the person to the right is A.
ordering, swap_inference

Question 12

John is the brother of Robert. Alice is the son of John. How is Robert related to Alice?
Tracing the family tree: George → John → Alice. Therefore, George is the grandfather of Alice. In family hierarchy, grandparents are two generations above grandchildren.
ordering, family_tree, hierarchy

Question 13

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: D C G B F E. G is at position 3; the person to the right is B.
ordering, swap_inference

Question 14

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

Question 15

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

Question 16

Six people sit around a circular table facing the center: A, B, G, H, F, D. i) A sits second to the left of G. ii) B sits to the immediate right of H. iii) F sits opposite to B. iv) D sits to the immediate right of A. Who is sitting to the immediate left of G?
Placing the people to satisfy all clues yields the unique seating (clockwise): A B G H F D. The person to the immediate left of G is B.
ordering, circular

Question 17

Five people F, G, I, H, and J are compared by Height and Age. i) H is older than I but shorter than G. ii) F is the tallest, but not the oldest. iii) J is older than F. iv) I 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 J > F > H > I > G. Height: (ii) makes F tallest; (i) ensures G taller than I; (iv) H not shortest. A valid height order is F > I > G > H > J. Thus, oldest is J and shortest is J.
ordering, multi_variable, puzzles

Question 18

At the Olympics, France, China, UK, Japan, Germany competed. China has more gold medals than Germany. If Gold=3, Silver=2, Bronze=1 points, which country is ranked 2nd?
Medal counts: France: 4G, 6S, 12B = 36pts, China: 6G, 5S, 10B = 38pts, UK: 6G, 5S, 10B = 38pts, Japan: 7G, 8S, 6B = 43pts, Germany: 5G, 9S, 8B = 41pts. Gold=3pts, Silver=2pts, Bronze=1pt. Ranking by points: Japan > Germany > China > UK > France. Therefore, Germany is correct.
ordering, olympiad, medals, weighted_scores

Question 19

Five friends—P, Q, R, S, and T—are compared based on their height. i) S is taller than T. ii) Q is shorter than T. iii) P is shorter than R. iv) R is shorter than Q. Who is the third tallest among them?
Combine the height comparisons:
1. S > T
2. T > Q
3. Q > R
4. R > P
Thus, the order is S > T > Q > R > P. Third tallest is Q.
ordering, linear_comparison

Question 20

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