A rational number p/q has a terminating decimal expansion if the prime factorization of q (in its simplest form) is of the form:

The decimal representation of 23 / (2³ × 5²) will terminate after how many decimal places?

The decimal expansion of the rational number 14587 / 1250 will terminate after:

What is the largest number that divides 70 and 125, leaving remainders 5 and 8 respectively?

Which of the following is an irrational number?

Three bells toll at intervals of 9, 12, and 15 minutes respectively. If they start tolling together, after what time will they next toll together?

If a prime number 'p' divides a², then which of the following is always true for positive integer 'a'?

According to Euclid's division lemma, for any two positive integers 'a' and 'b', there exist unique integers 'q' and 'r' such that a = bq + r, where 'r' must satisfy:

The product of the smallest prime number and the smallest composite number is:

The number 7 × 11 × 13 + 13 is a:

The HCF of 135 and 225 is:

The prime factorization of 156 is:

Using Euclid's division lemma, any positive odd integer can be expressed in the form of (where q is some integer):

The HCF of two numbers is 18 and their product is 12960. Their LCM will be:

If p = a²b³ and q = a³b, where a and b are prime numbers, then LCM(p, q) is:

The product of two co-prime numbers is 117. Their LCM should be:

The sum of a rational number and an irrational number is:

The HCF of the smallest two-digit composite number and the smallest composite number is: