Math Chapter Wise question with answer

Q01 Let a, b be positive integers with a > b and a + b = 24. Suppose that the following congruence's have a common inte... English · Bihar (TRE 1.0) -2023 Q02 For any positive integers a and 3, there exist unique integers q and r such that a = 3q + r, where r must satisfy English · Bihar (TRE 1.0) -2023 Q03 If G is a finite group and O(G) = pn, where p is prime number and n is positive integers, then English · UP Higher Asst. Prof. 2021 Q04 If a positive integer on a given base is divisible by the sum of its digits on the same base called English · UP Higher Asst. Prof. 2021 Q05 Let a and b two positive integers. Then gcd(a,b). lcm(a,b) equals: English · NVS PGT 10-06-2019 Q06 If x and y are two positive rational numbers, then there exists a positive integer z such that zy>x. This property... English · UP PCS (Pre) 2008