List of top Mathematics Questions on Real Numbers asked in UP Board X

LCM of the numbers 12 and 20 will be :

Find the HCF and LCM of 96 and 404 by the prime factorisation method and verify that \( \text{HCF} \times \text{LCM} = \) product of the two numbers.

Prove that $2\sqrt{2}$ is an irrational number.

HCF of the numbers 49 and 91 will be :

LCM and HCF of two numbers are 182 and 13 respectively. If one number is 26, then other number will be :

Prove that \( \sqrt{3} \) (or \( \sqrt{5} \)) is an irrational number.

Prove that \( 2\sqrt{3} \) is an irrational number.

In the decimal expansion of the number $\frac{129}{125}$, the number of digits will be:

Prove that \( \sqrt{3} \) is an irrational number.

The sum of powers of prime factors of the factorization of the number 144 will be:

A motor boat, whose speed is 18 km/hour in still water, takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.

The decimal expansion of the rational number $\dfrac{17}{2^2 \times 5}$ will terminate after how many places of decimal?

In the following numbers, the rational number is:

For any two positive integers ‘a’ and ‘b’:

The quotient of a non-zero rational and irrational number will be:

The equivalent rational numbers of any rational number will be: