Practice30Create account

In a coded system, 'A @ B' means 'A is greater than B', 'A # B' means 'A is smaller than B', 'A $ B' means 'A is equal to B', 'A & B' means 'A is either greater than or equal to B', and 'A * B' means 'A is either smaller than or equal to B'. Given that 'P @ Q', 'Q & R' and 'R $ S' are true, which of the following is definitely true?

Competition practiceInequalities
  • AP @ S
  • BQ $ P
  • CR @ Q
  • DS @ Q

Step-by-Step Solution

The codes give P > Q ≥ R = S. Hence P is greater than S, i.e. 'P @ S'. The other options reverse or over-specify relations the chain does not support.
Answer: A) P @ S

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Inequalities practice questions

More Inequalities practice

In a coded system, 'A @ B' means 'A is greater than B', 'A # B' means 'A is smaller than…Statement: A < B ≤ C = D. Conclusions: I. A < D. II. B ≤ D. Which conclusion(s) is/are…Statement: P ≥ Q ≤ R < S. Conclusions: I. P > R. II. P < S. Which conclusion(s) is/are…Statement: A ≤ B = C ≥ D. Conclusions: I. B > D. II. B = D. Which conclusion(s) is/are…Read the statement and choose the conclusion that is definitely true. Statement: L > M =…