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IBPS Clerk Number Ranking

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This page covers IBPS Clerk Number Ranking with complete concept notes, 12 graded practice MCQs, key points and exam-specific tips. Free to study.

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Concept Notes

Number Ranking— Rules & Concept

Core ConceptRead 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.

Formula BlockMemorise — 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
Exam PatternsWhat 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.

Worked ExampleSolve 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) ✓

Exam TrapsCommon 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

12graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

In a class of 35 students arranged in a line, Neha is 12th from the left end. How many students are between Neha and the right end (not including Neha)?

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 60 students, Vikram is 25th from the left end and Sneha is 30th from the right end. How many students are between them (not including Vikram and Sneha)?

Practice 4easy

In a queue of 50 people, Arun is 20th from the front. What is his position from the back?

Practice 5easy

Among 40 students standing in a line, Priya is 15th from the left. How many students are standing to her right?

Practice 6easy

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

Practice 7medium

In a row of 25 students, Priya is 9th from the left end. Rahul is 7 positions to the right of Priya. What is Rahul's position from the right end?

Practice 8medium

In a tournament, 12 teams are ranked. Team A is ranked 5th from the top. Team B is ranked 3rd from the bottom. How many teams are ranked between Team A and Team B (excluding both)?

Practice 9medium

In a merit list of 50 students, Neha's rank from the top is 18th and Pooja's rank from the top is 32nd. How many students are ranked between Neha and Pooja (excluding both)?

Practice 10medium

In a queue of 20 people, Amit is 7th from the front. If 3 people leave from the front of the queue (before Amit), what will be Amit's new position from the front?

Practice 11medium

In a class of 45 students, Rajesh's rank from the top is 12th. What is his rank from the bottom?

Practice 12hard

In a ranking of 12 students, Priya is ranked 5th from the top. Vikram is ranked 3 positions below Priya. Neha is ranked exactly halfway between Vikram's position and the bottom of the ranking. What is Neha's rank from the top?

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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