{"id":4491,"date":"2024-03-05T16:07:04","date_gmt":"2024-03-05T16:07:04","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=4491"},"modified":"2024-03-05T16:07:04","modified_gmt":"2024-03-05T16:07:04","slug":"how-many-prime-numbers-are-between-1-to-100","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/how-many-prime-numbers-are-between-1-to-100\/","title":{"rendered":"How many prime numbers are between 1 to 100?"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;24&#8243; option2=&#8221;25&#8243; option3=&#8221;26&#8243; option4=&#8221;27&#8243; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The correct answer is (b) 25.<\/p>\n<p>A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.<\/p>\n<p>The first 25 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, and 83.<\/p>\n<p>To find the number of prime numbers between 1 and 100, we can use a sieve. A sieve is a way of listing all the prime numbers up to a certain number. To make a sieve, we start with a list of all the natural numbers from 2 to 100. Then, we cross out all the multiples of 2, starting with 2 itself. Then, we cross out all the multiples of 3, starting with 3 itself. We continue this process, crossing out all the multiples of each prime number as we encounter them. When we are finished, the remaining numbers are all the prime numbers between 1 and 100.<\/p>\n<p>In this case, the sieve would look like this:<\/p>\n<p>2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97<\/p>\n<p>As you can see, there are 25 prime numbers between 1 and 100.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;24&#8243; option2=&#8221;25&#8243; option3=&#8221;26&#8243; option4=&#8221;27&#8243; correct=&#8221;option2&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[30],"tags":[],"class_list":["post-4491","post","type-post","status-publish","format-standard","hentry","category-mathematics","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>How many prime numbers are between 1 to 100?<\/title>\n<meta name=\"description\" content=\"A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. 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