Query about Question 22 from "PrepSwift Quant Tickbox Quiz #3 (Arithmetic Column 3)" [6431]

https://prepswift.gregmat.com/quizzes/quiz/prepswift-quant-tickbox-quiz-3-arithmetic-column-3 (Question 22)


For integers 1 to 30, inclusive, what is the ratio of primes to multiples of 3?

my problem here is the word “inclusive”. Do we count the “1” as a prime number from 1-30?

My answer to this problem was 11:10, but apparently it’s 1:1

any assistance is greatly appreciated. Thanks!

The word inclusive simply means that both the integers 1 and 30 need to be included in our dataset.

Also, the integer 1 is not a prime number.

Let x = no. of primes between 1 to 30 (which are 2,3,5,7,11,13,17,19,23,29]

so x = 10

Let y = no. of multiples of 3 between 1 to 30 (which are 3,6,9,12,15,18,21,24,27,30)

so y = 10

Ratio x/y = 10/10 = 1