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Which of the following is the remainder when we divide (6767 + 67) by 68?
- a)61
- b)63
- c)66
- d)69
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which of the following is the remainder when we divide (6767 + 67) by ...
(xn + 1) will be divisible by (x + 1) only when n is odd.
(6767 + 1) will be divisible by (67 + 1)
(6767 + 1) + 66, when divided by 68 will give 66 as remainder.
(6767 + 1) will be divisible by (67 + 1)
(6767 + 1) + 66, when divided by 68 will give 66 as remainder.
Most Upvoted Answer
Which of the following is the remainder when we divide (6767 + 67) by ...
To find the remainder when we divide (6767 67) by 68, we can use the concept of modular arithmetic.
Modular arithmetic is a system of arithmetic for integers where numbers "wrap around" upon reaching a certain value called the modulus. In this case, the modulus is 68.
To solve this problem, we need to find the remainder when 6767 is divided by 68, and then add the remainder when 67 is divided by 68.
Finding the remainder when 6767 is divided by 68:
- First, divide 6767 by 68: 6767 ÷ 68 = 99 with a remainder of 31.
- Therefore, the remainder when 6767 is divided by 68 is 31.
Finding the remainder when 67 is divided by 68:
- Since 67 is smaller than 68, the remainder is simply the number itself.
- Therefore, the remainder when 67 is divided by 68 is 67.
Adding the remainders together:
- 31 + 67 = 98.
However, since we are dividing by 68, the remainder should be less than 68. Therefore, we need to find the remainder when 98 is divided by 68.
Finding the remainder when 98 is divided by 68:
- Divide 98 by 68: 98 ÷ 68 = 1 with a remainder of 30.
Therefore, the remainder when we divide (6767 67) by 68 is 30.
The correct answer is option C) 66, not option D) 69 as mentioned.
Modular arithmetic is a system of arithmetic for integers where numbers "wrap around" upon reaching a certain value called the modulus. In this case, the modulus is 68.
To solve this problem, we need to find the remainder when 6767 is divided by 68, and then add the remainder when 67 is divided by 68.
Finding the remainder when 6767 is divided by 68:
- First, divide 6767 by 68: 6767 ÷ 68 = 99 with a remainder of 31.
- Therefore, the remainder when 6767 is divided by 68 is 31.
Finding the remainder when 67 is divided by 68:
- Since 67 is smaller than 68, the remainder is simply the number itself.
- Therefore, the remainder when 67 is divided by 68 is 67.
Adding the remainders together:
- 31 + 67 = 98.
However, since we are dividing by 68, the remainder should be less than 68. Therefore, we need to find the remainder when 98 is divided by 68.
Finding the remainder when 98 is divided by 68:
- Divide 98 by 68: 98 ÷ 68 = 1 with a remainder of 30.
Therefore, the remainder when we divide (6767 67) by 68 is 30.
The correct answer is option C) 66, not option D) 69 as mentioned.
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Which of the following is the remainder when we divide (6767 + 67) by ...
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Which of the following is the remainder when we divide (6767 + 67) by 68?a)61b)63c)66d)69Correct answer is option 'C'. Can you explain this answer?
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Which of the following is the remainder when we divide (6767 + 67) by 68?a)61b)63c)66d)69Correct answer is option 'C'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Which of the following is the remainder when we divide (6767 + 67) by 68?a)61b)63c)66d)69Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is the remainder when we divide (6767 + 67) by 68?a)61b)63c)66d)69Correct answer is option 'C'. Can you explain this answer?.
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