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

Prove that \(5 - \sqrt{3}\) is an irrational number.
Using Euclid's division algorithm, find the H.C.F. of 504 and 1188.
In division algorithm a=bq+r, b=4, q=5 and r=1, then what is the value of a?
Which of the following fractions has terminating decimal expansion?
In the form of \(\frac{p}{2^n \times 5^m}\), 0.505 can be written as
If \( q \) is a positive integer, which of the following is an even positive integer?
In division algorithm \( a = bq + r \), \( b = 43 \), \( q = 31 \) and \( r = 32 \), the value of \( a \) will be:
Which of the following has a terminating decimal expansion?
In \( L_2 \) form of 0.375, the form of \( q \) is:
The H.C.F. of two numbers is 15 and L.C.M. is 105. If one of the numbers is 5, then the other number is:
The H.C.F. of two consecutive odd numbers is
If H.C.F. of two numbers = 25 and L.C.M = 50, then the product of the numbers will be
If in division algorithm \( a = bq + r \), \( b = 61 \), \( q = 27 \), and \( r = 32 \), what is the value of \( a \)?
If \( q \) is a positive integer, which of the following is an odd positive integer?
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
\( \sqrt{\frac{64}{81}} + \sqrt{\frac{16}{9}} \) is
The product of two irrational numbers \( 3 + \sqrt{6} \) and \( 3 - \sqrt{5} \) will be a/an
Prove that \( (2+\sqrt{3})^2 \) is not a rational number.
Using Euclid division algorithm find the HCF of 148 and 185.
The HCF of two numbers is 15 and their LCM is 105. If one of the numbers is 5, the other number is:
If the Euclidean algorithm equation is given as \( a = bq + r \) where \( b = 43 \), \( q = 31 \), and \( r = 32 \), then the value of \( a \) is:
If \( q \) is a positive integer, which of the following is an even positive integer?