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Mathematics · 2024 · 4 marks
CBSE 2024 · Region 3 · Set 1 · Q38
Teaching Mathematics through activities is a powerful approach that enhances students' understanding and engagement. Keeping this in mind, Ms. Mukta…
Teaching Mathematics through activities is a powerful approach that enhances students' understanding and engagement. Keeping this in mind, Ms. Mukta planned a prime number game for class $\displaystyle 5$ students. She announces the number $\displaystyle 2$ 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. Now, Mukta asked some questions as given below to the students :
(i)
What is the least prime number used by students ?
(ii)
(a)
How many students are in the class ?
OR
(b)
What is the highest prime number used by students ?
(iii)
Which prime number has been used maximum times ?
Marking-scheme solution
\(\displaystyle 173250=2 \times 5^{3} \times 3^{2} \times 7 \times 11\)
(i) $\displaystyle 3$
(ii) (a) $\displaystyle 173250$=$\displaystyle 2$ × \(\displaystyle 5^{3} \times 3^{2} \times 7 \times 11\) Number of students in the class \(\displaystyle =3+2+1+1=7\)
OR
(ii) (b) \(\displaystyle 173250=2 \times 5^{3} \times 3^{2} \times 7 \times 11\) Highest prime number used by students = $\displaystyle 11$
(iii) $\displaystyle 5$
CBSE Class 10 Mathematics past-paper question from the 2024 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.