Class 10 Mathematics: Real Numbers Worksheet

If two positive integers 'a' and 'b' are written as a = p³q² and b = pq³, where p and q are prime numbers, then HCF(a, b) is:

The product of a non-zero rational number and an irrational number is:

According to Euclid's Division Lemma, for two positive integers 'a' and 'b', there exist unique integers 'q' and 'r' such that a = bq + r, where 0 ≤ r < ____.

The decimal expansion of the rational number 14587/1250 will terminate after how many decimal places?

If HCF(26, 91) = 13, then LCM(26, 91) is:

Can two numbers have 15 as their HCF and 175 as their LCM? Justify your answer.

The prime factorization of 3825 is 3² × 5² × ____.

For some integer m, every even integer is of the form:

Without actually performing the long division, state whether the rational number 64/455 will have a terminating or non-terminating repeating decimal expansion. Give reason.

The HCF of the smallest composite number and the smallest prime number is ____.