Practice30Create account

In a certain code: 'X @ Y' means X >= Y; 'X # Y' means X <= Y; 'X $ Y' means X > Y; 'X & Y' means X < Y; 'X * Y' means X = Y. Given 'A # B', 'B & C' and 'C @ D', which conclusion(s) are definitely true? I. A & C (A < C).
II. A & D (A < D).

Competition practiceInequalities
  • AOnly conclusion I follows
  • BNeither conclusion I nor II follows
  • CBoth conclusions I and II follow
  • DOnly conclusion II follows

Step-by-Step Solution

A <= B < C gives A < C (I follows). Since C >= D, the D end is not chained to A, so A versus D is undetermined (II does not follow).
Answer: A) Only conclusion I follows

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 certain code: 'X @ Y' means X >= Y; 'X $ Y' means X > Y; 'X * Y' means X = Y. Given…For the relation T ≥ U > V = W ≤ X, which conclusion is certainly true?In a certain code: 'X @ Y' means X >= Y; 'X $ Y' means X > Y. Given 'A $ B' and 'C @ B',…In the statement P ≥ Q > R = S < T, which of the following conclusions is definitely true?In the statement L < M ≤ N = O > P, which of the following conclusions is definitely true?