p: If a triangle is equiangular, then it is an obtuse angled triangle.

(i)  p: The sum of an irrational number and a rational number is irrational (by contradiction method). (ii)  q: If n is a real number with n > 3, then

p : 25 is a multiple of 5. q : 25 is a multiple of 8. Write the compound statements connecting these two statements with “And” and “Or”. In both cases check the validity of the compound statement.

(i) p: If you watch television, then your mind is free and if your mind is free, then you watch television. (ii) q: For you to get an A grade, it is necessary and sufficient that you do all the ...

(i)  p: It is necessary to have a password to log on to the server. (ii)  q: There is traffic jam whenever it rains. (iii)  r: You can access the website only if you pay a subsciption fee.

(i) p: A positive integer is prime only if it has no divisors other than 1 and itself. (ii) q: I go to a beach whenever it is a sunny day. (iii) r: If it is hot outside, then you feel thirsty.

(i) p: For every positive real number x, the number x – 1 is also positive. (ii) q: All cats scratch. (iii) r: For every real number x, either x > 1 or x < 1. (iv) s: There exists a number x ...