একটি দুর্গে 1200 সৈন্যের 28 দিনের জন্য পর্যাপ্ত খাবার ছিল। 4 দিন পর কিছু সৈন্য দুর্গ ছেড়ে চলে যায়। এভাবে 32 দিন ধরে খাবার চলল, কতজন সৈন্য দুর্গ ছেড়ে গেল?

This question was previously asked in
RRC Group D Previous Paper 13 (Held On: 11 Oct 2018 Shift 1)
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  1. 280
  2. 300
  3. 320
  4. 290

Answer (Detailed Solution Below)

Option 2 : 300
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ধরি দুর্গটি ছেড়ে যাওয়া সৈন্যের সংখ্যা x

আমরা জানি যে,

M1 x D1 = M2 x D2 + M3 x D3

প্রদত্ত, M1 = 1200 সৈন্য, D1 = 28 দিন, M2 = 1200 সৈন্য, D2 = 4 দিন, M3 = (1200 - x) সৈন্য এবং D3 = 32 দিন

M1 x D1 = M2 x D2 + M3 x D3

1200 x 28 = 1200 x 4 + (1200 - x) x 32

(1200 x 28) - (1200 x 4) = (1200 - x) x 32

1200 (28 - 4) = (1200 - x) x 32

(1200 x 24)/32 = (1200 - x)

x = 300
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