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2525 is divided by 26, the remainder is?
- a)1
- b)2
- c)24
- d)25
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
2525is divided by 26, the remainder is?a)1b)2c)24d)25Correct answer is...
(xn + an) is divisible by (x + a) when n is odd
∴ (2525 + 125) is divisible by (25 + 1)
⇒ (2525 + 1) is divisible by 26
⇒ On dividing 2525 by 26, we get (26 - 1) = 25 as remainder
∴ (2525 + 125) is divisible by (25 + 1)
⇒ (2525 + 1) is divisible by 26
⇒ On dividing 2525 by 26, we get (26 - 1) = 25 as remainder
Most Upvoted Answer
2525is divided by 26, the remainder is?a)1b)2c)24d)25Correct answer is...
Long Division Method:
To find the remainder when 2525 is divided by 26, we can use the long division method.
- First, we divide 26 into 25. The quotient is 0 and the remainder is 25.
- We bring down the next digit, which is 2, to the right of the remainder. So now we have 252 as the new dividend.
- We divide 26 into 252. The quotient is 9 and the remainder is 18.
- We bring down the next digit, which is 5, to the right of the remainder. So now we have 185 as the new dividend.
- We divide 26 into 185. The quotient is 7 and the remainder is 23.
- We bring down the last digit, which is 0, to the right of the remainder. So now we have 230 as the new dividend.
- We divide 26 into 230. The quotient is 8 and the remainder is 22.
Since there are no more digits to bring down, we have reached the end of the division process. The final remainder is the last remainder we obtained, which is 22.
Therefore, the remainder when 2525 is divided by 26 is 22.
To find the remainder when 2525 is divided by 26, we can use the long division method.
- First, we divide 26 into 25. The quotient is 0 and the remainder is 25.
- We bring down the next digit, which is 2, to the right of the remainder. So now we have 252 as the new dividend.
- We divide 26 into 252. The quotient is 9 and the remainder is 18.
- We bring down the next digit, which is 5, to the right of the remainder. So now we have 185 as the new dividend.
- We divide 26 into 185. The quotient is 7 and the remainder is 23.
- We bring down the last digit, which is 0, to the right of the remainder. So now we have 230 as the new dividend.
- We divide 26 into 230. The quotient is 8 and the remainder is 22.
Since there are no more digits to bring down, we have reached the end of the division process. The final remainder is the last remainder we obtained, which is 22.
Therefore, the remainder when 2525 is divided by 26 is 22.
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2525is divided by 26, the remainder is?a)1b)2c)24d)25Correct answer is option 'D'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2525is divided by 26, the remainder is?a)1b)2c)24d)25Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2525is divided by 26, the remainder is?a)1b)2c)24d)25Correct answer is option 'D'. Can you explain this answer?.
2525is divided by 26, the remainder is?a)1b)2c)24d)25Correct answer is option 'D'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 2525is divided by 26, the remainder is?a)1b)2c)24d)25Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2525is divided by 26, the remainder is?a)1b)2c)24d)25Correct answer is option 'D'. Can you explain this answer?.
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