For integers m and n, both greater than 1, consider the following three statements
P : m divides n, Q : m divides `n^(2)` and R : m is prime, then

For integers m and n, both greater than 1, consider the following three statements P : m divides n, Q : m divides n^(2) , R : m is prime then

For integers m and n, both greater than 1, consider the following three statements P : m divides n, Q : m divides n^(2) , R : m is prime then

Study the following information carefully and answer the questions given below- In the following questions, the symbols @, & %, $ and * are used with the following meanings: 'M & N' means 'M is not greater than N'. 'M * N' means 'M is not smaller than N'. 'M % N' means 'M is neither greater than nor equal to N'. 'M $ N' means 'M is neither smaller than nor equal to N'. 'M @ N' means 'M is neither greater than nor smaller than N'. In each of the following questions assuming the given statements to be true, find out which of the three conclusions (a), (b) and (c) given below them is/are definitely true. P % Q , Q % N , N @ G ,G * R, R $ S Then which of the following conclusion follows (a)R $ Q (b) P $ S (c) N % S

Study the following information carefully and answer the questions given below- In the following questions, the symbols @, & %, $ and * are used with the following meanings: 'M & N' means 'M is not greater than N'. 'M * N' means 'M is not smaller than N'. 'M % N' means 'M is neither greater than nor equal to N'. 'M $ N' means 'M is neither smaller than nor equal to N'. 'M @ N' means 'M is neither greater than nor smaller than N'. In each of the following questions assuming the given statements to be true, find out which of the three conclusions (a), (b) and (c) given below them is/are definitely true. P @ Q , Q $ N , N * G , G @ R, R & S Then which of the following conclusion follows (a) Q $ R (b) P * S (c) N @ S

Study the following information carefully and answer the questions given below- In the following questions, the symbols @, & %, $ and * are used with the following meanings: 'M & N' means 'M is not greater than N'. 'M * N' means 'M is not smaller than N'. 'M % N' means 'M is neither greater than nor equal to N'. 'M $ N' means 'M is neither smaller than nor equal to N'. 'M @ N' means 'M is neither greater than nor smaller than N'. In each of the following questions assuming the given statements to be true, find out which of the three conclusions (a), (b) and (c) given below them is/are definitely true. R % T , T @ N, N & P, P $ M Then which of the following conclusion follows (a) T * M (b) R % P (c ) R * M

Study the following information carefully and answer the questions given below- In the following questions, the symbols @, & %, $ and * are used with the following meanings: 'M & N' means 'M is not greater than N'. 'M * N' means 'M is not smaller than N'. 'M % N' means 'M is neither greater than nor equal to N'. 'M $ N' means 'M is neither smaller than nor equal to N'. 'M @ N' means 'M is neither greater than nor smaller than N'. In each of the following questions assuming the given statements to be true, find out which of the three conclusions (a), (b) and (c) given below them is/are definitely true. G % H, H * N, N * P, P % M Then which of the following conclusion follows (a) H @ P (b) G $ M (c) H $ P

The remainder when the positive integer m is divided by n is r. What is the remainder when 2m is divided by 2n?

Let n ( gt 1 ) be a positive integer, the largest integer m such that ( n ^(m) + 1) divides : ( 1+ n + n^(2) + "………" n^(127)) is :