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The number of integers from 1 to 100 which are neither divisible by 2 nor by 5 nor by 7 is"
Possible options: A) 66 B) 55 C) 45 D) 34?
Possible options: A) 66 B) 55 C) 45 D) 34?
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The number of integers from 1 to 100 which are neither divisible by 2 ...
Calculating the integers not divisible by 2, 5, or 7
• To find the numbers that are not divisible by 2, 5, or 7, we first need to calculate the numbers that are divisible by each of these separately.
• Numbers divisible by 2: 2, 4, 6, ..., 100. There are 50 numbers divisible by 2 in this range.
• Numbers divisible by 5: 5, 10, 15, ..., 100. There are 20 numbers divisible by 5 in this range.
• Numbers divisible by 7: 7, 14, 21, ..., 98. There are 14 numbers divisible by 7 in this range.
Calculating the total numbers divisible by 2, 5, or 7
• Now, we need to find the total numbers divisible by either 2, 5, or 7. To do this, we add the numbers divisible by 2, 5, and 7.
• Total numbers divisible by 2, 5, or 7 = 50 (divisible by 2) + 20 (divisible by 5) + 14 (divisible by 7) = 84.
Calculating the numbers not divisible by 2, 5, or 7
• To find the numbers that are neither divisible by 2, 5, nor 7, we subtract the total numbers divisible by 2, 5, or 7 from the total numbers in the range (1 to 100).
• Total numbers in the range (1 to 100) = 100.
• Numbers not divisible by 2, 5, or 7 = 100 (total numbers) - 84 (total divisible by 2, 5, or 7) = 16.
Answer
• Therefore, the number of integers from 1 to 100 which are neither divisible by 2, 5, nor 7 is 16.
• The closest possible option is 34, but the correct answer is not one of the given options.
• To find the numbers that are not divisible by 2, 5, or 7, we first need to calculate the numbers that are divisible by each of these separately.
• Numbers divisible by 2: 2, 4, 6, ..., 100. There are 50 numbers divisible by 2 in this range.
• Numbers divisible by 5: 5, 10, 15, ..., 100. There are 20 numbers divisible by 5 in this range.
• Numbers divisible by 7: 7, 14, 21, ..., 98. There are 14 numbers divisible by 7 in this range.
Calculating the total numbers divisible by 2, 5, or 7
• Now, we need to find the total numbers divisible by either 2, 5, or 7. To do this, we add the numbers divisible by 2, 5, and 7.
• Total numbers divisible by 2, 5, or 7 = 50 (divisible by 2) + 20 (divisible by 5) + 14 (divisible by 7) = 84.
Calculating the numbers not divisible by 2, 5, or 7
• To find the numbers that are neither divisible by 2, 5, nor 7, we subtract the total numbers divisible by 2, 5, or 7 from the total numbers in the range (1 to 100).
• Total numbers in the range (1 to 100) = 100.
• Numbers not divisible by 2, 5, or 7 = 100 (total numbers) - 84 (total divisible by 2, 5, or 7) = 16.
Answer
• Therefore, the number of integers from 1 to 100 which are neither divisible by 2, 5, nor 7 is 16.
• The closest possible option is 34, but the correct answer is not one of the given options.
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The number of integers from 1 to 100 which are neither divisible by 2 nor by 5 nor by 7 is"Possible options: A) 66 B) 55 C) 45 D) 34?
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The number of integers from 1 to 100 which are neither divisible by 2 nor by 5 nor by 7 is"Possible options: A) 66 B) 55 C) 45 D) 34? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The number of integers from 1 to 100 which are neither divisible by 2 nor by 5 nor by 7 is"Possible options: A) 66 B) 55 C) 45 D) 34? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of integers from 1 to 100 which are neither divisible by 2 nor by 5 nor by 7 is"Possible options: A) 66 B) 55 C) 45 D) 34?.
The number of integers from 1 to 100 which are neither divisible by 2 nor by 5 nor by 7 is"Possible options: A) 66 B) 55 C) 45 D) 34? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The number of integers from 1 to 100 which are neither divisible by 2 nor by 5 nor by 7 is"Possible options: A) 66 B) 55 C) 45 D) 34? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of integers from 1 to 100 which are neither divisible by 2 nor by 5 nor by 7 is"Possible options: A) 66 B) 55 C) 45 D) 34?.
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