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1870 is divisible by 22. Which two numbers nearest to 1870 are each divisible by 22?
- a)1848, 1892
- b)1893, 1914
- c)1826, 1914
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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1870 is divisible by 22. Which two numbers nearest to 1870 are each di...
1870 - 22 = 1848 & 1870 + 22 = 1892 are the numbers nearest to 1870, divisible by 22.
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1870 is divisible by 22. Which two numbers nearest to 1870 are each di...
To determine the two numbers nearest to 1870 that are each divisible by 22, we can use the concept of divisibility and apply it to the given options.
Divisibility Rule of 22: A number is divisible by 22 if it is divisible by both 2 and 11.
Let's analyze the given options one by one to see if they satisfy the divisibility rule of 22.
a) 1848, 1892:
- 1848: This number is divisible by 2 because the last digit is even (8). However, to determine if it is divisible by 11, we can use the divisibility rule of 11, which states that the difference between the sum of the digits in the odd place and the sum of the digits in the even place should be either 0 or a multiple of 11.
- In this case, 1 - 8 + 4 - 8 = -11, which is a multiple of 11. Therefore, 1848 is divisible by 11 and consequently divisible by 22.
- 1892: This number is divisible by 2 because the last digit is even (2). However, to determine if it is divisible by 11, we can use the divisibility rule of 11.
- In this case, 1 - 8 + 9 - 2 = 0, which is a multiple of 11. Therefore, 1892 is divisible by 11 and consequently divisible by 22.
Since both 1848 and 1892 satisfy the divisibility rule of 22, option A is correct.
b) 1893, 1914:
- 1893: This number is not divisible by 2 because the last digit is odd (3). Therefore, it is not divisible by 22.
- 1914: This number is divisible by 2 because the last digit is even (4). However, it is not divisible by 11 since 1 - 9 + 1 - 4 = -11, which is not a multiple of 11. Therefore, it is not divisible by 22.
Option B is incorrect.
c) 1826, 1914:
- 1826: This number is divisible by 2 because the last digit is even (6). However, it is not divisible by 11 since 1 - 8 + 2 - 6 = -11, which is not a multiple of 11. Therefore, it is not divisible by 22.
- 1914: This number is divisible by 2 because the last digit is even (4). However, it is not divisible by 11 since 1 - 9 + 1 - 4 = -11, which is not a multiple of 11. Therefore, it is not divisible by 22.
Option C is incorrect.
d) None of these:
Since we have found that option A is correct, option D is incorrect.
Therefore, the two numbers nearest to 1870 that are each divisible by 22 are 1848 and 1892, as stated in option A.
Divisibility Rule of 22: A number is divisible by 22 if it is divisible by both 2 and 11.
Let's analyze the given options one by one to see if they satisfy the divisibility rule of 22.
a) 1848, 1892:
- 1848: This number is divisible by 2 because the last digit is even (8). However, to determine if it is divisible by 11, we can use the divisibility rule of 11, which states that the difference between the sum of the digits in the odd place and the sum of the digits in the even place should be either 0 or a multiple of 11.
- In this case, 1 - 8 + 4 - 8 = -11, which is a multiple of 11. Therefore, 1848 is divisible by 11 and consequently divisible by 22.
- 1892: This number is divisible by 2 because the last digit is even (2). However, to determine if it is divisible by 11, we can use the divisibility rule of 11.
- In this case, 1 - 8 + 9 - 2 = 0, which is a multiple of 11. Therefore, 1892 is divisible by 11 and consequently divisible by 22.
Since both 1848 and 1892 satisfy the divisibility rule of 22, option A is correct.
b) 1893, 1914:
- 1893: This number is not divisible by 2 because the last digit is odd (3). Therefore, it is not divisible by 22.
- 1914: This number is divisible by 2 because the last digit is even (4). However, it is not divisible by 11 since 1 - 9 + 1 - 4 = -11, which is not a multiple of 11. Therefore, it is not divisible by 22.
Option B is incorrect.
c) 1826, 1914:
- 1826: This number is divisible by 2 because the last digit is even (6). However, it is not divisible by 11 since 1 - 8 + 2 - 6 = -11, which is not a multiple of 11. Therefore, it is not divisible by 22.
- 1914: This number is divisible by 2 because the last digit is even (4). However, it is not divisible by 11 since 1 - 9 + 1 - 4 = -11, which is not a multiple of 11. Therefore, it is not divisible by 22.
Option C is incorrect.
d) None of these:
Since we have found that option A is correct, option D is incorrect.
Therefore, the two numbers nearest to 1870 that are each divisible by 22 are 1848 and 1892, as stated in option A.
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1870 is divisible by 22. Which two numbers nearest to 1870 are each divisible by 22?a)1848, 1892b)1893, 1914c)1826, 1914d)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about 1870 is divisible by 22. Which two numbers nearest to 1870 are each divisible by 22?a)1848, 1892b)1893, 1914c)1826, 1914d)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1870 is divisible by 22. Which two numbers nearest to 1870 are each divisible by 22?a)1848, 1892b)1893, 1914c)1826, 1914d)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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