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IBPS RRB PO Number Ranking

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This page covers IBPS RRB PO Number Ranking with complete concept notes, 14 graded practice MCQs, key points and exam-specific tips. Free to study.

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Concept Notes

Number Ranking— Rules & Concept

1.Core Concept

Read this first — the foundation of the topic

Number Ranking is a logical reasoning problem where you are given a series of numbers or positions, and you must determine the rank or position of a particular number or person in a sequence—either from left to right or right to left. CORE CONCEPT

In Number Ranking problems, you need to find where a number sits in a given order. The question might ask: 'What is the rank of number X from the left?' or 'If we reverse the sequence, what becomes the position of Y?' The key is to count carefully and apply simple directional rules. KEY RULES & PROPERTIES

1. Always identify the total count of numbers/items in the sequence. 2. Rank from left means counting from position 1 on the left side.

3. Rank from right means counting from position 1 on the right side (reverse counting). 4. If an item's rank from left is R, then its rank from right = (Total Count + 1) – R.

5. The middle position exists only if total count is odd. 6. Direction matters—left and right are opposite directions.

2.Formula Block

Memorise — at least one formula appears in every paper
Rank from Right = (Total Number of Items + 1) − Rank from Left
Rank from Left = (Total Number of Items + 1) − Rank from Right
Total Items = Rank from Left + Rank from Right − 1

3.Exam Patterns

What examiners ask — read before attempting PYQs

SSC CGL typically asks: - Direct rank questions: 'Find rank of X from left/right' - Reverse rank questions: 'If reversed, what is position?' - Both-side rank: 'A is 5th from left and 8th from right. Find total count' - Position-based: 'How many items between positions?' SHORTCUT/TRICK Always use the formula: Rank from Right = (Total + 1) − Rank from Left. This avoids counting errors. If you know any two values (total and one rank), you instantly find the other.

4.Worked Example

Solve this step-by-step before moving on
1
Step 1

Count total items = 8

2
Step 2

Identify rank of 60 from left = 5 (it's the 5th number)

3
Step 3

Apply formula: Rank from Right = (8 + 1) − 5 = 9 − 5 = 4 Answer: 60 is at rank 4 from the right. Verification: From right: 92(1st), 88(2nd), 75(3rd), 60(4th) ✓

5.Exam Traps

Common mistakes students make — avoid these

Students often confuse rank with count. If 60 is 5th from left, it doesn't mean 5 items are to its left—only 4 items are to its left. Rank includes the item itself.

Key Points to Remember

  • Rank from Right = (Total Items + 1) − Rank from Left; memorise this formula.
  • Rank from left = counting from position 1 starting at leftmost item.
  • Rank from right = reverse counting from rightmost item as position 1.
  • If rank from left is R and total is T, items to the left = R − 1.
  • Items between two ranks = |Rank₁ − Rank₂| − 1 (subtract 1 to exclude both positions).
  • Direction change always uses the complement formula; direct counting saves time only for small lists.

Exam-Specific Tips

  • In a sequence of N items, if rank from left is L, then rank from right is always (N + 1) − L.
  • Number of items to the left of rank R = R − 1.
  • Number of items to the right of rank R = N − R.
  • If an item is 6th from left and 4th from right, total count = 6 + 4 − 1 = 9.
  • Middle position in a sequence of odd numbers (e.g., 7 items) = position 4.
  • Between rank 3 and rank 8 in a sequence, number of items = 8 − 3 − 1 = 4.
  • When a sequence is reversed, rank from left becomes rank from right in the new order.
  • Total items = Rank from Left + Rank from Right − 1 (this is a rearrangement of the main formula).
Practice MCQs

Number Ranking — Practice Questions

14graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

In a ranking of 35 employees, Vikram's rank from the top is 10. If 3 employees are removed from the top of the ranking, what will be Vikram's new rank from the top?

Practice 2easy

In a row of 25 students, Rajesh is 8th from the left end. What is Rajesh's position from the right end?

Practice 3easy

In a row of 25 students, Rajesh is 8th from the left end. What is his position from the right end?

Practice 4easy

In a class ranking, Priya is 12th from the top and 19th from the bottom. How many students are in the class?

Practice 5easy

In a queue of 40 people, Arun is 15th from the front. How many people are standing behind Arun?

Practice 6easy

In a line of 50 students, Neha is 18th from the left. Pooja is 5 positions to the right of Neha. What is Pooja's position from the right end?

Practice 7medium

In a queue, Priya is 15th from the front and 20th from the back. How many people are in the queue?

Practice 8medium

In a line of 50 people, Vikram is 18th from the left. Deepak is 15th from the right. How many people are standing between Vikram and Deepak?

Practice 9medium

In a row of 40 students, Rajesh is 12th from the left end. What is his position from the right end?

Practice 10medium

In a class ranking, Arun is 8th from the top. If there are 5 students ranked below Arun, how many students are ranked above him?

Practice 11hard

In a row of 40 students, Rajesh's rank from the left is 18th. Priya's rank from the right is 15th. How many students are sitting between Rajesh and Priya? (Assume no student occupies the same position)

Practice 12hard

Seven people—A, B, C, D, E, F, G—are standing in a line. D is 3rd from the left. B is 2 positions to the left of D. E is 2 positions to the right of D. F is between B and D. G is at one of the ends. C is not adjacent to D. What is C's position from the left?

Practice 13hard

In a class ranking, Meera is 15th from the top and 20th from the bottom. Neha is 5 ranks below Meera. Priya is 8 ranks above Neha. How many students are in the class?

Practice 14hard

In a row of 40 students, Rajesh is 12th from the left end. Priya is 8 positions to the right of Rajesh. If we count from the right end, what is Priya's position?

60-Second Revision — Number Ranking

  • Formula King: Rank from Right = (Total + 1) − Rank from Left. Write it once before exam starts.
  • Trap: Rank ≠ Count of items on one side. Rank 5 means 4 items to the left, not 5.
  • Quick Check: If rank from left is L and total is T, rank from right must be T + 1 − L; verify mentally.
  • Direction Matters: Left = normal order, Right = reverse order. Don't flip them.
  • Formula Rearrange: If given rank from left and right, find total = L + R − 1. Easy bonus question.
  • Middle Alert: In odd sequences (5, 7, 9 items), the middle rank = (Total + 1) ÷ 2.
  • Between Positions: Items between rank A and rank B = |A − B| − 1. Exclude endpoints.
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