Topic – Fundamental theorem of arithmetic
Topic – Fundamental theorem of arithmetic
Class 10 maths – CBSE has added many different types of questions in last years for making the board exams somehow competitive. Thatswhy it is more important to solve enough questions from outside the ncert books, Here are some questions that will definitely improve your maths in Class 10.

Q- 1 Check whether 8ⁿ can end with the digit 0 for any natural number n.
Q- 2 In a seminar, the number of participants in Hindi, English, and mathematics are 60, 84 and 108 respectively. Find the minimum number of rooms required if in each room the same number of participants are to be seated and all of them being in the same subject.
Q- 3 Can two numbers have 16 as their HCF and 380 as their LCM? Give reason.
Q- 4 The HCF of two numbers is 16 and their product is 3072. Find their LCM.
Q- 5 Find the least number that is divisible by all the numbers between 1 and 10 (both inclusive).
Q- 6 Explain why 7 x 11 x 13 + 13 and 7 x 6 x 5 x 4 x 3 x 2 x 1 + 5 are composite numbers.
Q- 7 Find the HCF of 96 and 404 by prime factorization method. Hence Find the LCM. (Board exam 2018)
Q- 8 A circular field has a circumference of 360 km. Three cyclists start together and can cycle 48, 60 and 72 km a day, round the field. When will they meet again?
Q- 9 Find LCM of p = x³y³z, q = x⁴y³z², r = x²yz⁴w.