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When an integer is divided by 5, what remainders can its square have?किसी पूर्णांक को 5 से भाग देने पर उसके वर्ग का शेषफल कौन-कौन सा हो सकता है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: Only 0, 1 and 4केवल 0, 1 और 4
Step 1: The possible remainders of a number are 0, 1, 2, 3, and 4. Step 2: Their square remainders are 0, 1, 4, 4, and 1 respectively. Step 3: A square divided by 5 never leaves remainder 2 or 3.चरण 1: संख्या के संभावित शेषफल 0, 1, 2, 3, 4 हैं। चरण 2: इनके वर्गों के शेषफल क्रमशः 0, 1, 4, 4, 1 मिलते हैं। चरण 3: 5 से भाग देने पर किसी वर्ग का शेषफल 2 या 3 नहीं आता।
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