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Agniveer Army CEE Number Ranking

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This page covers Agniveer Army CEE Number Ranking with complete concept notes, 6 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

6graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

Five students scored the following marks: Arjun 78, Priya 85, Vikram 72, Neha 88, and Rohan 82. Who ranks 3rd when students are arranged in descending order of marks?

Practice 2easy

In a race, Kavya finished 4th from the top and 6th from the bottom. How many runners participated in total?

Practice 3medium

Five students scored marks in an exam: Rahul scored 78, Priya scored 85, Amit scored 82, Neha scored 88, and Vikas scored 81. Who ranked third highest?

Practice 4medium

In a race, Car P finished in 45 seconds, Car Q in 39 seconds, Car R in 42 seconds, and Car S in 37 seconds. Which car ranked second fastest?

Practice 5medium

Six products are ranked by sales: Product A sold 2,400 units, Product B sold 3,100 units, Product C sold 2,850 units, Product D sold 3,400 units, Product E sold 2,600 units, and Product F sold 3,050 units. Which product ranked fourth in sales?

Practice 6hard

Five students scored marks in a test: Raj scored 78, Priya scored 85, Amit scored 82, Neha scored 88, and Vikram scored 80. If they are ranked from highest to lowest score, what is Vikram's rank?

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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