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Mixed Order (Height / Weight / Marks)

Introduction

इस pattern में सवालों में लोगों या वस्तुओं की तुलना अलग-अलग गुणों के आधार पर की जाती है जैसे ऊँचाई (height), वजन (weight), अंक/marks, या उम्र। आपको दी गई comparative clues के अनुसार उन्हें एक specific क्रम (ascending या descending) में arrange करना होता है।

यह pattern महत्वपूर्ण है क्योंकि यह आपकी logical reasoning और sequencing skills को सुधारता है। यह सिखाता है कि “A is taller than B” या “C ने D से अधिक मार्क्स पाए” जैसे statements को कैसे समझा और multiple clues को combine करके पूरा order कैसे निकाला जाए।

Pattern: Mixed Order (Height / Weight / Marks)

Pattern

मुख्य विचार यह है कि comparison clues को order सम्बन्धों में बदलें - greater than या less than - और फिर उन्हें merge करके पता करें कौन top पर है या bottom पर है।

आम तरह के clues:

  • “A is taller than B but shorter than D” → D > A > B
  • “D scored more than E but less than F” → F > D > E
  • सभी clues को combine करके overall rank या missing relation ढूँढें।

Step-by-Step Example

Question

पाँच students A, B, C, D, और E की ऊँचाई की तुलना की गई है।
1. A, B से लंबा है पर D से छोटा है।
2. C, A से छोटा है पर E से लंबा है।
3. D सबसे tallest है।
इनसबमें सबसे tallest कौन है?

Solution

  1. Step 1: पहले clue को समझें

    A, D और B के बीच A बीच में है। मतलब D, A से लंबा है और A, B से लंबा है → D > A > B.

  2. Step 2: दूसरे clue का उपयोग करें

    C, A से छोटा पर E से लंबा → A > C > E.

  3. Step 3: दोनों जानकारी को मिलाएँ

    अब हमें पता चला कि D > A और A > C > E, और साथ ही A > B भी है। इन्हें जोड़ने पर क्रम कुछ इस तरह बनता है: D > A > (C and B) > E. अतः D सबसे ऊपर है।

  4. Step 4: तीसरे clue को लागू करें

    तीसरा clue सीधे कहता है कि D सबसे tallest है - जो हमारे combined order से मैच करता है।

  5. Final Answer:

    D

  6. Quick Check:

    D A से ऊँचा है ✅, A B से ऊँचा है ✅, A C से ऊँचा है और C E से ऊँचा है ✅

Quick Variations

1. एक से अधिक attributes (जैसे height और weight) के आधार पर compare करें।

2. पता करें कि कौन दो व्यक्तियों के बीच बिल्कुल है (who lies exactly between)।

3. जब partial orders दिए हों तो missing ranks निकालें।

4. अलग-अलग comparisons (जैसे marks और percentage) को combine करके final ranking निकालें।

Trick to Always Use

  • Step 1 → हर clue को inequality रूप में लिखें (उदा., D > A > B)।
  • Step 2 → clues को ध्यान से combine करें और overlaps जांचें।
  • Step 3 → extreme positions (tallest, heaviest, highest scorer) खोजें।
  • Step 4 → arrange करने के बाद हर clue एक-एक कर के फिर से चेक करें ताकि कोई contradiction न रहे।

Summary

Summary

  • हमेशा clues को comparison form (greater या lesser) में बदलकर शुरू करें।
  • Clues को मिलाकर एक consistent sequence बनाइए।
  • “tallest”, “shortest”, “heaviest”, या “highest marks” जैसे शब्दों पर ध्यान दें।
  • Arrange करने के बाद हर statement चेक करें - कोई भी स्टेटमेंट आपके order के विरोध में नहीं होना चाहिए।

याद रखने के लिए उदाहरण:
यदि A > B, B > C, और D > A, तो final order होगा D > A > B > C।

Practice

(1/5)
1. Five friends P, Q, R, S, and T are compared by height. Q is taller than P but shorter than R. S is shorter than Q but taller than T. Who is the tallest among them?
easy
A. P
B. Q
C. R
D. S

Solution

  1. Step 1: Understand the first clue

    Q is taller than P but shorter than R. This means R is the tallest among these three, so R > Q > P.

  2. Step 2: Use the second clue

    S is shorter than Q but taller than T. This gives Q > S > T.

  3. Step 3: Combine both pieces

    Combine the two relations carefully. The overall order becomes R > Q > S > P > T.

  4. Step 4: Identify the tallest

    The person at the top of this order is R.

  5. Final Answer:

    R → Option C

  6. Quick Check:

    R taller than Q ✅, Q taller than S ✅, S taller than T ✅
Hint: Convert all clues into simple comparisons (>, <) and merge step-by-step.
Common Mistakes: Not merging all clues together or mixing up taller and shorter directions.
2. Five students A, B, C, D, and E are compared by marks. A scored more than B but less than C. D scored less than B. E scored more than A. C scored more than E. Who scored the second highest marks?
easy
A. A
B. B
C. E
D. C

Solution

  1. Step 1: Arrange the first clue

    A scored more than B but less than C → C > A > B.

  2. Step 2: Add the next clue

    D scored less than B → B > D.

  3. Step 3: Add E's position

    E scored more than A → E > A.

  4. Step 4: Add the new clue

    C scored more than E → C > E.

  5. Step 5: Combine all

    The full order becomes C > E > A > B > D.

  6. Step 6: Identify second highest

    The second highest is E.

  7. Final Answer:

    E → Option C

  8. Quick Check:

    Order C > E > A > B > D satisfies all clues, including new relation C > E.
Hint: When you add a top-level comparison like 'C > E', the overall ranking becomes fully determined.
Common Mistakes: Missing the impact of the new clue C > E, which ensures E cannot be the highest.
3. Four boys W, X, Y, and Z are compared by weight. W is heavier than X. Y is lighter than X but heavier than Z. Who is the lightest?
easy
A. Y
B. X
C. Z
D. W

Solution

  1. Step 1: Write the first comparison

    W is heavier than X → W > X.

  2. Step 2: Write the second comparison

    Y is lighter than X but heavier than Z → X > Y > Z.

  3. Step 3: Combine both orders

    Merge them as W > X > Y > Z.

  4. Step 4: Identify the lightest

    The one at the bottom of the list is Z.

  5. Final Answer:

    Z → Option C

  6. Quick Check:

    All weights arranged correctly from heaviest to lightest ✅
Hint: Start from the top (heaviest) and move downward.
Common Mistakes: Reversing heavier/lighter meaning and getting order wrong.
4. Five athletes A, B, C, D, and E participated in a race. A finished before B but after C. D finished after B but before E. Who came third?
medium
A. A
B. B
C. D
D. C

Solution

  1. Step 1: Convert the first clue

    A finished after C but before B → C > A > B.

  2. Step 2: Convert the second clue

    B finished before D but D finished before E → B > D > E.

  3. Step 3: Combine both orders

    Merge to get the complete ranking: C > A > B > D > E.

  4. Step 4: Identify who is third

    The third position is occupied by B.

  5. Final Answer:

    B → Option B

  6. Quick Check:

    Combined order C, A, B, D, E fits all clues and B is 3rd ✅
Hint: Translate 'before/after' into descending rank order and merge sequences.
Common Mistakes: Reversing the before/after order or placing D before B, which contradicts the clue.
5. Five persons A, B, C, D, and E are compared based on height. A is taller than B but shorter than D. C is shorter than A but taller than E. Who is taller than C but shorter than D?
medium
A. A
B. B
C. E
D. D

Solution

  1. Step 1: Convert the first clue

    A is taller than B but shorter than D → D > A > B.

  2. Step 2: Convert the second clue

    C is shorter than A but taller than E → A > C > E.

  3. Step 3: Use only the necessary relations

    From the two relations above we can validly conclude D > A and A > C. Therefore A is taller than C but shorter than D. (We do not assume or claim any additional ordering among B, C, E beyond what's given.)

  4. Final Answer:

    A → Option A

  5. Quick Check:

    D > A ✅; A > C ✅ → so A is between D and C as required.
Hint: When asked for 'between' comparisons, extract only the relations that directly place someone between two others instead of building a full order.
Common Mistakes: Assuming relations between unrelated persons (e.g., B vs C) that are not given in the clues.

Mock Test

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