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പരീക്ഷയിൽ പങ്കെടുത്ത 210 വിദ്യാർത്ഥികളുടെ ശരാശരി മാർക്ക് 45 ആണ്. പരാജയപ്പെട്ട വിദ്യാർത്ഥികളുടെ ശരാശരി മാർക്ക് 27ഉം വിജയിച്ച വിദ്യാർത്ഥികളുടെ ശരാശരി മാർക്ക് 54 ഉം ആണ്. വിജയിച്ച വിദ്യാർത്ഥികളുടെ എണ്ണം എത്രയാണ് ?

A120

B140

C180

D100

Answer:

B. 140

Read Explanation:

പരാജയപ്പെട്ട വിദ്യാർത്ഥികളുടെ എണ്ണം = x വിജയിച്ച വിദ്യാർത്ഥികളുടെ എണ്ണം = 210 – x x × 27 + (210 – x) × 54 = 210 × 45 ⇒ 27x + 11340 – 54x = 9450 ⇒ 54x – 27x = 11340 – 9450 ⇒ 27x = 1890 ⇒ x = 1890/27 ⇒ x = 70 വിജയിച്ച വിദ്യാർത്ഥികളുടെ എണ്ണം = 210 – 70 = 140


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