Inequalities (Reasoning) Questions with Solutions

Coded inequality questions give statements comparing several elements with symbols, such as P > Q >= R < S, and ask which conclusions definitely follow. In coded versions, the symbols are replaced by others (for example, @ means "greater than"), which must be decoded first. To combine statements, link the common elements into a single chain. A conclusion follows only if the chain connects the two elements with signs all pointing in the same direction. If the signs point in opposite directions, as in A > B < C, no definite relationship exists between A and C. When one sign in the chain is strict (> or <) and the other is not (>= or <=), the result is strict. Watch for "either-or" cases, where two conclusions about the same pair together cover every possibility, such as A >= B and A < B. Practise the inequality questions below. Each solution shows the combined chain.