0
0

Rank Difference Between Two Persons

Introduction

कई reasoning tests पूछते हैं कि दो दिए गए ranks के बीच कितने लोग हैं। इस pattern को समझ लेने पर यह सवाल बहुत जल्दी solve हो जाता है क्योंकि इसमें एक सीधा-सा relation होता है।

यह concept arrangement, ranking और ordering problems में बहुत मदद करता है जहाँ positions या gaps गिनने होते हैं।

Pattern: Rank Difference Between Two Persons

Pattern

मुख्य विचार: Number of people between two ranks = |Rank₁ - Rank₂| - 1

अगर दोनों ranks एक ही end (top/left या bottom/right) से दी गई हों, तो absolute difference - 1 सीधे लागू करें। यदि ranks opposite ends से दी हों, तो पहले एक rank को दूसरे वाले end में convert करें, फिर formula लागू करें।

Step-by-Step Example

Question

एक class में A top से 6th है और B top से 9th है। A और B के बीच कितने छात्र हैं?

Solution

  1. Step 1: दोनों ranks पहचानें

    A = top से 6th, B = top से 9th।

  2. Step 2: Absolute difference निकालें

    |9 - 6| = 3

  3. Step 3: लोगों की संख्या निकालने के लिए 1 घटाएँ

    Number between = 3 - 1 = 2

  4. Final Answer:

    2 लोग

  5. Quick Check:

    Ranks (top → bottom): … 5, A(6), 7, 8, B(9), … → बीच में 7 और 8 दो लोग हैं ✅

Quick Variations

1. यदि ranks opposite ends से हों, तो पहले convert करें:

Left position L → Right position = Total - L + 1.

2. यदि पूछा जाए “कितने लोग इनके बीच नहीं हैं”, तो complementary counting करें: Total - (between) - 2।

3. यदि दोनों ranks बराबर हों, तो clearly बीच में 0 लोग होंगे।

Trick to Always Use

  • Step 1 → सुनिश्चित करें कि दोनों ranks एक ही reference (top/left या bottom/right) से हों।
  • Step 2 → बीच के लोगों की संख्या = |Rank₁ - Rank₂| - 1.

Summary

Summary

  • |Rank₁ - Rank₂| - 1 से दो ranks के बीच लोगों की संख्या तुरंत मिल जाती है।
  • Opposite ends वाली ranks को पहले same-end में बदलें।
  • Edge cases: adjacent ranks → 0 बीच में; same rank → 0 बीच में।
  • “Not between” वाले प्रश्न में Total - between - 2 उपयोग करें।

याद रखने के लिए उदाहरण:
A = 3rd और B = 7th (same reference) → between = |7 - 3| - 1 = 3 लोग (4th, 5th, 6th)।

Practice

(1/5)
1. In a row, Riya is 4th from the left and Neha is 9th from the left. How many people are sitting between them?
easy
A. 4
B. 3
C. 5
D. 6

Solution

  1. Step 1: Identify both ranks

    Riya = 4th, Neha = 9th from the same end.

  2. Step 2: Apply the formula

    Number between = |9 - 4| - 1 = 5 - 1 = 4.

  3. Final Answer:

    4 persons → Option A

  4. Quick Check:

    Positions 5, 6, 7, 8 lie between them → 4 ✅
Hint: Use |Rank₁ - Rank₂| - 1 when both ranks are from the same end.
Common Mistakes: Forgetting to subtract 1 after finding the difference.
2. Amit is 7th from the left and Sumit is 11th from the left. How many people are between them?
easy
A. 3
B. 2
C. 4
D. 5

Solution

  1. Step 1: Identify the two positions

    Amit = 7th, Sumit = 11th from the same side.

  2. Step 2: Apply the formula

    Number between = |11 - 7| - 1 = 4 - 1 = 3.

  3. Final Answer:

    3 persons → Option A

  4. Quick Check:

    8th, 9th, 10th are between → 3 ✅
Hint: Subtract smaller rank from larger and then subtract 1.
Common Mistakes: Using only the difference without subtracting 1.
3. In a line of students, A is 10th from the left and B is 15th from the left. How many students are between them?
easy
A. 3
B. 4
C. 5
D. 6

Solution

  1. Step 1: Note the given ranks

    A = 10th, B = 15th.

  2. Step 2: Apply formula

    Number between = |15 - 10| - 1 = 5 - 1 = 4.

  3. Final Answer:

    4 students → Option B

  4. Quick Check:

    11th, 12th, 13th, 14th are between → 4 ✅
Hint: Take difference of ranks and subtract 1.
Common Mistakes: Adding instead of subtracting ranks.
4. In a row of people, Priya is 12th from the left and Sneha is 19th from the same end. Find how many people are between them.
medium
A. 5
B. 7
C. 6
D. 8

Solution

  1. Step 1: Write the ranks

    Priya = 12th, Sneha = 19th from the left.

  2. Step 2: Apply the formula

    Number between = |19 - 12| - 1 = 7 - 1 = 6.

  3. Final Answer:

    6 persons → Option C

  4. Quick Check:

    13th to 18th positions → 6 people ✅
Hint: Always subtract 1 from the difference between ranks.
Common Mistakes: Using difference directly as answer.
5. In a class, Ramesh is 8th from the top and Suresh is 15th from the top. How many students are between them?
medium
A. 5
B. 8
C. 7
D. 6

Solution

  1. Step 1: Identify both positions

    Ramesh = 8th, Suresh = 15th (same reference).

  2. Step 2: Apply formula

    Number between = |15 - 8| - 1 = 7 - 1 = 6.

  3. Final Answer:

    6 students → Option D

  4. Quick Check:

    Positions 9-14 = 6 students ✅
Hint: Difference minus one gives the number between.
Common Mistakes: Forgetting to take the absolute difference.

Mock Test

Ready for a challenge?

Take a 10-minute AI-powered test with 10 questions (Easy-Medium-Hard mix) and get instant SWOT analysis of your performance!

10 Questions
5 Minutes