If two positive integers a and b are written as a = p³q² and b = pq³; p, q are prime numbers. Then HCF (a, b) is

If two positive integers a and b are written as a = p³q² and b = pq³; p, q are prime numbers. Then HCF (a, b) is

If a non zero rational number is multiplied to an irrational number, we always get

For some positive integer q, every even integer is of the form

If n is an even natural number, then the largest natural number by which n(n+1) (n+2) is divisible is

If a = 2⁸ x 3, b = 2 x 3 x 5, c = 3ⁿ x 5 and LCM (a, b, c) = 28 x 32 x 5, then, n=

If x and y are odd positive integers, then x² + y² is

Which of the following is not irrational?

The least number that is divisible by all the numbers from 1 to 5 (both inclusive) is

If HCF (16, y) = 8 and LCM (16, y) = 48. Then the value of y =

If the zeroes of a quadratic polynomial

x² + (a + 1) x + b are 2 and ─ 3, then

A quadratic polynomial whose zeroes are ─ 4 and ─ 5 is

If x³ + 11 is divided by x² ─ 3, then the possible degree of remainder is

Assertion (A) : 2 is a rational number

Reason (R): The square roots of all positive integers are irrationals