दो संख्याएँ A और B हैं, जहाँ A, B से 33.33% कम है। A और B के LCM और HCF का गुणनफल 384 है।

राशि I: 3AB

राशि II: (6A - 6) और (3B - 7) का LCM

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RBI Grade B: 08 September 2024 Memory Based Paper
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  1. राशि I > राशि II
  2. राशि I < राशि II
  3. राशि I ≥ राशि II
  4. राशि I ≤ राशि II
  5. राशि I = राशि II या कोई संबंध नहीं

Answer (Detailed Solution Below)

Option 2 : राशि I < राशि II
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CT 1: Reasoning Ability (Arrangement and Pattern - I)
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गणनाएँ:

मान लीजिए, B = 3x है

इसलिए, A = 3x × (100 - 33.33) /100 = 2x

इसलिए, 3x × 2x = 384

या, 6x2 = 384,

या, x2 = 384 / 6 = 64

इसलिए, x = 8

A = 2 × 8 = 16 और B = 3 × 8 = 24

राशि I: 3 × 16 × 24 = 1152

राशि II: (6A - 6) और (3B - 7) का LCM

(6 × 16 - 6) और (3 × 24 - 7) का LCM = 90 और 65 का LCM = 1170

राशि I < राशि II

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