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SSC CHSL Number Ranking

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This page covers SSC CHSL Number Ranking with complete concept notes, 23 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

23graded MCQs · easy to hard · full solution & trap analysis · showing 20 of 23

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Practice 1easy

In a class of 35 students arranged in a row, Arjun is 15th from the left and Neha is 20th from the left. How many students are sitting between them?

Practice 2easy

In a ranking of 50 students, Vikram is ranked 18th from the top. What is his rank from the bottom?

Practice 3easy

In a line of 60 people, Deepak is 25th from the left. Kavya is 30th from the right. How many people are between Deepak and Kavya?

Practice 4easy

In a row of 15 students, Priya's rank from the left is 7th. What is her rank from the right?

Practice 5easy

In a row of 8 students, Rajesh is 3rd from the left. What is Rajesh's position from the right?

Practice 6easy

In a class of 25 students, Priya is 8th from the left. How many students are to the right of Priya?

Practice 7easy

In a queue of 12 people, Amit is 5th from the left and Bhavna is 5th from the right. How many people are between Amit and Bhavna?

Practice 8easy

In a ranking of 20 students, Vikram is 12th from the top. What is his rank from the bottom?

Practice 9easy

In a line of 15 children, Neha is 7th from the left and Isha is 7th from the right. Are they at the same position or different positions?

Practice 10easy

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

Practice 11easy

In a queue of 40 people, Priya is 12th from the front. How many people are standing behind her?

Practice 12medium

In a merit list of 60 students, Neha's rank is 25th from the top. If 8 students below her in the list leave the institution, what will be her new rank from the bottom?

Practice 13medium

In a merit list of 45 students, Shreya's rank from the top is 12th and Pooja's rank from the bottom is 8th. How many students rank between Shreya and Pooja (not including them)?

Practice 14medium

In a class ranking, Priya is 8th from the top and 15th from the bottom. How many students are in the class?

Practice 15medium

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

Practice 16medium

In a queue of 60 people, Vikram is 18th from the front. Exactly 5 people stand between Vikram and Deepak. If Deepak is behind Vikram, what is Deepak's position from the front?

Practice 17medium

In a queue of 50 people, Amit is 18th from the front. If 5 people leave from the front of the queue before Amit, what will be Amit's new position from the front?

Practice 18medium

In a tournament, 7 players are ranked. Vikram is ranked 4th. If the rankings are reversed (1st becomes last, 2nd becomes second-last, etc.), what will be Vikram's new rank?

Practice 19hard

In a tournament ranking of 60 players, Vikram is ranked 25th. If all players ranked below Vikram (from 26th to 60th) are removed, and then 8 new players are added at the end, what will be Vikram's rank from the bottom in the new list?

Practice 20hard

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

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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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