Practice30Create account

In the following, the symbols carry their usual mathematical meaning. Statements: M ≤ N, N < O, O ≤ P. Conclusions: I. M < P.
II. M = P. Which conclusion(s) is/are definitely true?

Competition practiceInequalities
  • AOnly I is true
  • BEither I or II is true
  • COnly II is true
  • DBoth I and II are true

Step-by-Step Solution

M ≤ N < O ≤ P. The strict N < O makes the whole chain strict, so M < P (I true). Since M is strictly less than P, M = P cannot hold (II false).
Answer: A) Only I is true

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 inequality, '@' means '≥', '#' means '>', '$' means '=', '%' means '≤' and…Given the relationship P > Q ≥ R = S < T, which of the following conclusions is…In a coded inequality, 'A & B' means A > B, 'A % B' means A = B, and 'A # B' means A ≤…Statement: A ≥ B = C and D ≤ C. Conclusions: I. A ≥ D. II. A > D. Which conclusion(s)…Statements: P <= Q, Q < R, R <= S. Conclusions: I. P < S. II. P < R. Which conclusion(s)…