Q/ACategory: 10th Board Important QuestionReal Numbers (Important Questions)

Q.Find the LCM of 96 and 360 by using the fundamental theorem of arithmetic.

Ans. 1440

Q.What will be the least number that is divisible by all the numbers from 1 to 10 (both inclusive).

Ans. 2520

Q. What will be two natural numbers whose sum is 85 and the least common multiple is 102?

Ans. 51 & 34

Q.The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. find the other number.

Ans. 132

Q. Given that HCF (306, 657) = 9, find LCM (306, 657).

Ans. 22338

Q. Find the largest number which divides 70 and 125 leaving the remainder 5 and 8 respectively.

Ans. 13

Q.The decimal expansion of π is terminating or nonterminating non-recurring.

Ans. nonterminating non-recurring

Q.HCF and LCM of two numbers are 9 and 459 respectively. If one of the numbers is 27, find the other number.

Ans. 153

Q. Find the HCF (865, 255) using Euclid’s division lemma.

Ans. 153

Q.Find HCF and LCM of 13 and 17 by prime factorization method.

Ans.221