Practice Questions-Real Numbers-Class X

The LCM of 6, 72 and 120 is __________

The HCF of 336 and 54 is

Whether \(6^{n}\) can end with the digit 0 for any rational number n

HCF(a,b) x LCM(a,b) = ______for any positive integer a and b

The sum of difference of a rational and an irrational number is _____

If \(x^{2} \) is divisible by 3, then \(x\) is divisible by _____

The Fundamental Therorem of Arithmetic is _____

For any positive integer a and b, there exists unique integer q and r satisfying a = bq + r, \(0 \leq r < b \) is called as ________ lemma.

The set of all rational and irrational numbers is called as the set of ______number.

A series of well defined steps, which gives a procedure for solving a type of problem is called an ________

For any positive integer \( n, \ n^{3}-n \) is divisible by ________

Two tankers contain 850 litres and 680 litres of petrol respectively. The maximum capacity of a container which can measure the petrol of either tanker in exact number of times is ________

Express 234 as a product of its prime factor

The HCF of two numbers is 16 and their product is 3072. So their LCM is ______

In a morning walk three persons step off together. There step measures 80cm, 85cm and 90cm respectively. What is the minimum distance each should walk so that they can cover the distance in complete steps?

The exponents of 2 in the prime factorization of 144 is _____

The decimal form of \(\frac{13}{125}\) is _____