Questions Bank-MCQ-Real numbers – Class X

Following are the steps in finding the GCD of 21 and 333 :
\(333=21\times m+18\\ \\ 21=18\times1+3\\ \\ n=3\times6+0 \)
The integers \(m \) and \(n \) are :

\((n+1)^2-1 \) is divisible by 8, if n is :

The largest number which divides 71 and 126, leaving remainders 6 and 9 respectively is :

If two integers \(a \) and \(b \) are written as \(a=x^3y^2 \) and \(b=xy^4;x,y \) are prime numbers, then H.C.F. \((a,b) \) is:

The decimal expansion of the rational number \(\dfrac{14517}{1250} \) will terminate after :

Which of the following rational numbers have a terminating decimal expansion ?

The value of \(x \) in the factor tree is :
\(\begin{tikzpicture}[+preamble]\usepackage{forest}[/preamble]\begin{forest}[x 5 ] [ 5] [ 2 ][3]]]]\end{forest}\end{tikzpicture} \)

If two positive integers \( a\) and \(b \) are written as \(a=x^2y^2 \) and \(b=xy^2;x,y \) are prime number then HCF \((a,b) \) is:

\(n^2-1 \) is divisible by \(8 \), if \(n \) is :

\(x=2^2\times3\times5^2,y=2^2\times3^3 \), then HCF \((x,y) \) is

The decimal expansion of the rational number \(\dfrac{11}{2^3.5^2} \) will terminate after :

How many prime factors are there in prime factorisation of 5005 ?

If least prime factor of a is 3 and least prime factor of b is 7, the least prime factor of (a + b) is:

\(119^2-111^2 \) is:

The decimal expansion of \(\dfrac{6}{1250} \) will terminate after how many places of decimal ?