Question
Download Solution PDFFind the remainder when 77 is divided by 4.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
77
Calculation:
77/4 = (7 × 7 × 7 × 7 × 7 × 7 × 7)/4
⇒ (49 × 49 × 49 × 7) / 4
After dividing the 49 by 4 we get the remainder 1 and after dividing 7 by 4 we get the remainder 3.
Now,
⇒ 77/4 = (1 × 1 × 1 × 3)/4
⇒ 77/4 = 1 × 1 × 1 × 3/4 = 3/4
So, the remainder is 3.
∴ The correct answer is 3.
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