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What is the remainder when (255 + 323) is divided by 5?1). 02). 13). 24). 3 |
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Answer» We can WRITE, 255 = (24)13 × 23 ⇒ Unit digit (255) = Unit digit (613 × 8) ⇒ Unit digit (255) = Unit digit (6 × 8) = 8 Similarly, We can write, 323 = (34)5 × 33 ⇒ Unit digit (323) = Unit digit (15 × 7) ⇒ Unit digit (323) = 7 Now, Unit digit (255 + 323) = Unit digit (8 + 7) = 5 ? When 5 is DIVIDED by 5, the remainder is 0 ∴ When (255 + 323) is divided by 5, the remainder is 0 |
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