Ranking & Ordering
18 Class 6 IMO Mathematics Olympiad practice questions on ranking & ordering, part of the Analytical Reasoning topic area. Every question below includes the correct answer and a full explanation.
Practice this topic interactively →1. In a race, Meena finished before Kiran but after Divya. Who finished first?
- A.Divya
- B.Meena
- C.Kiran
- D.Cannot be determined
View this question on its own page →Show answer & explanation
Answer: A. Divya
Divya finished before Meena, and Meena before Kiran, so the order is Divya, Meena, Kiran — Divya is first.
2. Tanya is taller than Bala. Chetan is shorter than Bala but taller than Deep. Who is the shortest?
- A.Tanya
- B.Bala
- C.Chetan
- D.Deep
View this question on its own page →Show answer & explanation
Answer: D. Deep
Order from tallest to shortest: Tanya, Bala, Chetan, Deep — Deep is shortest.
3. In a class, Meera's rank is 15th from the top and 8th from the bottom. How many students are in the class?
- A.20
- B.21
- C.22
- D.23
View this question on its own page →Show answer & explanation
Answer: C. 22
Total = (rank from top) + (rank from bottom) − 1 = 15 + 8 − 1 = 22.
4. A, B, C, D are standing in a line. B is immediately to the right of A. C is immediately to the right of B. D is at the left end. What is the order from left to right?
- A.D, A, B, C
- B.A, B, C, D
- C.D, B, A, C
- D.A, D, B, C
View this question on its own page →Show answer & explanation
Answer: A. D, A, B, C
A, B, and C must be consecutive in that order, and D is leftmost, giving D, A, B, C.
5. Rahul is heavier than Suresh but lighter than Amit. Suresh is heavier than Vijay. Who is the lightest?
- A.Amit
- B.Rahul
- C.Suresh
- D.Vijay
View this question on its own page →Show answer & explanation
Answer: D. Vijay
Order from heaviest to lightest: Amit, Rahul, Suresh, Vijay.
6. In a queue of 30 people, Anil is 12th from the front. How many people are behind him?
- A.16
- B.17
- C.18
- D.19
View this question on its own page →Show answer & explanation
Answer: C. 18
30 − 12 = 18 people are behind him.
7. Four friends compare their heights. Nita is taller than Rita. Rita is taller than Gita. Gita is taller than Sita. Who is the tallest?
- A.Nita
- B.Rita
- C.Gita
- D.Sita
View this question on its own page →Show answer & explanation
Answer: A. Nita
Chaining the clues: Nita > Rita > Gita > Sita, so Nita is tallest.
8. In a race of 10 runners, Vikram finished 4th from the last. What is his position from the first?
- A.6
- B.7
- C.8
- D.9
View this question on its own page →Show answer & explanation
Answer: B. 7
Position from the first = total − position from last + 1 = 10 − 4 + 1 = 7.
9. Five students P, Q, R, S and T stand in a line. P is before Q, R is after S, and T is before P. Which must be true?
- A.T is before Q
- B.Q is before S
- C.R is before P
- D.S is before T
View this question on its own page →Show answer & explanation
Answer: A. T is before Q
T is before P, and P is before Q, so T must be before Q. The other options aren't guaranteed by the given clues.
10. A, B, C and D have different heights. A is taller than B but shorter than D. C is shorter than B. Who is the tallest?
- A.A
- B.B
- C.C
- D.D
View this question on its own page →Show answer & explanation
Answer: D. D
Order from the clues: D > A > B > C, so D is tallest.
11. A row has 8 seats. Arjun sits 3rd from the left. Meera sits 2nd from the right. How many seats are between them?
- A.1
- B.2
- C.3
- D.4
View this question on its own page →Show answer & explanation
Answer: C. 3
Arjun is in seat 3. Meera is in seat 7 (2nd from the right of 8 seats = seat 8−2+1=7). Seats 4, 5, and 6 lie between them — 3 seats.
12. In a queue, Ravi is 5th from the front and 8th from the back. How many people are in the queue?
- A.11
- B.12
- C.13
- D.14
View this question on its own page →Show answer & explanation
Answer: B. 12
Total = (position from front) + (position from back) − 1 = 5 + 8 − 1 = 12.
13. In a line of 40 students, Kiran is 18th from the left. What is his position from the right?
- A.21
- B.22
- C.23
- D.24
View this question on its own page →Show answer & explanation
Answer: C. 23
Position from the right = total − position from left + 1 = 40 − 18 + 1 = 23.
14. Five friends compare test scores. Priya scored higher than Sam. Sam scored higher than Deep. Deep scored higher than Amit. Amit scored higher than Raj. Who scored the lowest?
- A.Priya
- B.Sam
- C.Amit
- D.Raj
View this question on its own page →Show answer & explanation
Answer: D. Raj
Chaining the clues: Priya > Sam > Deep > Amit > Raj, so Raj scored lowest.
15. Five friends A, B, C, D, E are ranked in a quiz with no ties. B ranks better than D, C ranks better than B, and A ranks better than C. E ranks worse than D. Who ranks first?
- A.A
- B.B
- C.C
- D.D
View this question on its own page →Show answer & explanation
Answer: A. A
Chaining all the clues: A > C > B > D > E in rank, so A is first.
16. Five books P, Q, R, S, T are arranged on a shelf. P is to the left of Q. R is to the right of S but to the left of P. T is at the rightmost end. What is the order from left to right?
- A.S, R, P, Q, T
- B.R, S, P, Q, T
- C.S, P, R, Q, T
- D.S, R, Q, P, T
View this question on its own page →Show answer & explanation
Answer: A. S, R, P, Q, T
The clues give S < R < P < Q, with T at the rightmost end: S, R, P, Q, T.
17. P is left of Q, Q is left of R, S is right of R, and T is right of S. Who is farthest right?
- A.Q
- B.P
- C.R
- D.T
View this question on its own page →Show answer & explanation
Answer: D. T
Chaining the clues: P, Q, R, S, T from left to right, so T is farthest right.
18. A is taller than B, B is taller than C, and D is taller than A. Who is tallest?
- A.A
- B.C
- C.D
- D.B
View this question on its own page →Show answer & explanation
Answer: C. D
Chaining the clues: D > A > B > C, so D is tallest.