On dividing a number by 5, we get 3 as remainder. What will be the remainder when the square of the number is divided by 5?
Solution
Correct Answer: Option D
মনেকরি, সংখ্যাটি = x
এবং ভাগফল = p
∴ x = 5p + 3
এখন, (x)² = (5p + 3)²
x² = (5p)² + 2.5p.3 + (3)²
= 25p² + 30p + 9
= 25p² + 30p + 5 + 4
= 5(5p² + 6p + 1) + 4
∴ নির্ণেয় ভাগশেষ = 4
এবং ভাগফল = p
∴ x = 5p + 3
এখন, (x)² = (5p + 3)²
x² = (5p)² + 2.5p.3 + (3)²
= 25p² + 30p + 9
= 25p² + 30p + 5 + 4
= 5(5p² + 6p + 1) + 4
∴ নির্ণেয় ভাগশেষ = 4
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