1.

What is the remainder when (255 + 323) is divided by 5?1). 02). 13). 24). 3

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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