[amp_mcq option1=”30″ option2=”29″ option3=”27″ option4=”26″ correct=”option3″]<\/p>\n
The correct answer is (c) 27.<\/p>\n
A two-digit number is a number between 10 and 99. The first digit can be any number from 1 to 9, and the second digit can be any number from 0 to 9. This means that there are 10 possible first digits and 10 possible second digits, for a total of $10 \\times 10 = 100$ two-digit numbers.<\/p>\n
To find the number of two-digit numbers that are divisible by 3, we can use the following formula:<\/p>\n
Number of multiples of $n$ from 1 to $m$ = $\\frac{m}{n} + \\left\\lfloor \\frac{m}{n} \\right\\rfloor$<\/p>\n
where $m$ is the upper limit and $n$ is the divisor.<\/p>\n
In this case, $m = 99$ and $n = 3$. Substituting these values into the formula, we get:<\/p>\n
Number of multiples of 3 from 1 to 99 = $\\frac{99}{3} + \\left\\lfloor \\frac{99}{3} \\right\\rfloor = 33 + 33 = 66$<\/p>\n
However, we need to subtract 1 from this number because the number 0 is divisible by 3, but it is not a two-digit number. Therefore, the number of two-digit numbers that are divisible by 3 is $66 – 1 = \\boxed{27}$.<\/p>\n
Option (a), 30, is incorrect because it is the total number of two-digit numbers. Option (b), 29, is incorrect because it is the number of two-digit numbers that are not divisible by 3. Option (d), 26, is incorrect because it is the number of two-digit numbers that are odd.<\/p>\n","protected":false},"excerpt":{"rendered":"
[amp_mcq option1=”30″ option2=”29″ option3=”27″ option4=”26″ correct=”option3″]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[37],"tags":[],"class_list":["post-2910","post","type-post","status-publish","format-standard","hentry","category-arithmetic","no-featured-image-padding"],"yoast_head":"\n