Question

Show that the number 5×11×17+3×11 is a composite number.

In a teachers' workshop, the number of teachers teaching French, Hindi and English are 48, 80 and 144 respectively. Find the minimum number of rooms required if in each room the same number of teachers are seated and all of them are of the same subject.

Assertion (A) : For any two prime numbers p and q, their HCF is 1 and LCM is p + q. Reason (R) : For any two natural numbers, HCF × LCM = product of numbers.

Prove that √5 is an irrational number.