Q. Shalvi is a tuition teacher and teaches mathematics to some kids at her home. She is very innovative and always plan new games to make her students learn concepts. Today, she has planned a prime number game. She announce the number 2 in her class and asked the first student to multiply it by a prime number and then pass it to second student. Second student also multiplied it by a prime number and passed it to third student. In this way by multiplying to a prime number the last student got 173250. He told this number to Shalvi in class. Now she asked some questions to the students as given below. (i) How many students are in the class? (a) 3 (b) 9 (c) 4 (d) 7 (ii) What is the highest prime number used by student? (a) 11 (b) 7 (c) 5 (d) 3 (iii) What is the least prime number used by students ? (a) 2 (b) 7 (c) 5 (d) 3 (iv) Which prime number has been used maximum times ? (a) 2 (b) 7 (c) 5 (d) 3 (v) Which prime number has been used minimum times ? (a) 2 (b) 7 (c) 5 (d) 3​