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A number when divided by 5 leaves a remainder 3. What is the remainder when the square of the same number is divided by 5?1). 12). 23). 34). 4 |
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Answer» Let the number be x From GIVEN data- Number when divided by 5 leaves a REMAINDER 3 ∴ x = 5q + 3→ dividend= divisor× quotient+ remainder When SQUARE of number is divided by 5 ∴ (5q+3)2 ÷ 5 ⇒ (25q2 + 30q + 9) ÷ 5→ (a + b)2 = a2 + 2AB + b2 ⇒ [5(5q2 + 6q + 1) + 4] ÷ 5 Here we can notice that when divided by 5 square of that number leaves 4 as a remainder |
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