List of top Mathematics Questions on Real Numbers

The simplest form of \( 0.57 \) is:
If \( 140 = 2^x \times 5^y \times 7^z \), then the value of \( x + y - z \) is:
The value of \( (6 + \sqrt{125}) - (3 + \sqrt{5}) + (1 - 4\sqrt{5}) \) is:
In the form \( \frac{p}{q} \) of 0.375, the form of \( q \) is:
If \( q \) is a positive integer, which of the following is an odd positive integer?
The H.C.F. of two consecutive odd numbers is:
Using Euclid division algorithm, find the HCF of 252 and 594.
The simplest form of \( 0.\overline{3} + 0.\overline{4} \) is:
If \( 156 = 2^x \times 3^y \times 13^z \), then \( x + y + z = \)?
\( \sqrt{10} \times \sqrt{15} \) is:
In the form of \( \frac{p}{2^n \times 5^m} \), 0.105 can be written as:
If H.C.F. of two numbers is 25 and L.C.M is 50, then the product of numbers will be:
If in the division algorithm \( a = bq + r \), given \( b = 61 \), \( q = 27 \), and \( r = 32 \), then the value of \( a \) is:
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:
Given that a,b and x are real numbers and a< b, x < 0 then
The negation of the statement “For all real numbers x and y, x + y = y + x” is