Find the remainder when the square of any prime number greater than 3 is divided by 6.

If HCF (72, q) = 12 and q is a positive two digit number then how many values can q take?

Find the HCF of 120 and 156.

Find the HCF of 432 and 504.

The LCM of two numbers is 1200. Which of the following can be their HCF?

How many prime factors are there in the prime factorization of 240 ?

The largest number among $\sqrt{2},3\sqrt{3}\backslash sqrt2,\backslash ,3\backslash sqrt3$  and $4\sqrt{4}4\backslash sqrt4$ is …………

The expression $(x+y{)}^{-1}(x^{-1}+y^{-1})(x+y)^\{-1\}(x^\{-1\}+y^\{-1\})$ is the reciprocal of …………

The greatest possible length of a scale that can be used to measure exactly 3m, 5m 40cm and 13m 80cm is .......

If $(x-1{)}^2+(y-2{)}^4+(z-3{)}^6=0(x-1)^2+(y-2)^4+(z-3)^6\; =\; 0$ then the value of xyz is …………