List of top Mathematics Questions on Number System

If \(q\) is a positive integer, which of the following is {not an odd positive integer?}
Which of the following has a terminating decimal expansion?
If in the division algorithm \(a=bq+r\), \(a=72\), \(q=8\) and \(r=0\), then what is the value of \(b\)?
\(\dfrac{\sqrt{81}}{2}\) is:
Prove that \( \sqrt{2} \) is not a rational number.
The sum of powers of prime factors of the number 144 will be:
The biggest number which divides 125 and 70, and gives remainder 8 and 5 respectively will be:
Prove that \(5 + \sqrt{3}\) is an irrational number.
Which one is a pair of co-prime numbers?
The sum of the powers of prime factors in prime factorization of 144 is:
Prove that \( \sqrt{2} \) is an irrational number.
Given that HCF(255, 867) = 51, find the value of LCM(255, 867).
From the given numbers the prime number will be:
For any positive integer \( q \), every positive integer will be in the form of:

In the decimal expansion of \(\frac{731}{625}\),  the number of digits will be: 
 

Without doing the actual long division process, find if the expansion of the rational number \( \frac{637}{7280} \) is a terminating or non-terminating repeating decimal. Give reasons for your answer.
If LCM of 26, 156 is 156, then the value of HCF will be:
The largest number which divides 245 and 1037, leaving remainder 5 in each case, will be:
Show that any positive odd integer is of the form \( 4q + 1 \) or \( 4q + 3 \), where \( q \) is some integer.
Find the H.C.F. of 867 and 255 using Euclid's division algorithm.
Prime factors of the number 156 will be:
For any positive even integer \( p \), every positive odd integer will be of the form:
The number of positive even divisors of 6300 is:
If a seven digit number formed with distinct digits 4, 6, 9, 5, 3, \( x \) and \( y \) is divisible by 3, then the number of such ordered pairs \( (x, y) \) is
If \( 2^n \) divides \( 16! \) and \( 2^{n+1} \) does not divide \( 16! \), then \( n = \)