It is given that $a$ is positive if and only if $b$ is positive, and that $b$ is not positive. Which of the following must be true?

Practise more Valid deductions.

Free questions with an explanation for every one, and full timed TMUA mock tests.

All Valid deductions questions Take a mock test

More Valid deductions questions

It is given that if the sequence is geometric, then its ratio of consecutive terms is constant. It is also given that the ratio of consecuti…
It is given that if $n$ is divisible by 12 then $n$ is divisible by 4, and that if $n$ is divisible by 4 then $n$ is even. Which of the foll…
It is given that $x$ is positive or $x$ is a root of $x^{2} + x = 0$ , and that $x$ is not positive. Which of the following must be true?
It is given that if a positive integer $N$ is a perfect square then $N$ is divisible by 4 or $N$ is odd. It is also given that $N$ is not di…
A function $g$ is such that: if $g$ is increasing, then $g (1) < g (2)$ ; and if $g$ is not increasing, then $g (1) < g (2)$ is not guarantee…
It is given that exactly one of the following two statements is true: 'the series converges' and 'the series diverges to infinity'. It is al…