Practice30Create account

The symbols below are assigned quite differently from how they look: '⊕' means 'is less than or equal to', '⊖' means 'is greater than or equal to', '⊙' means 'is greater than', '⊞' means 'is less than', and '⊟' means 'is equal to'.
Given that 'J ⊙ K', 'K ⊕ L' and 'L ⊟ M' are all true, which conclusion follows?
Conclusions: I. 'J ⊙ M'
II. 'K ⊕ M'

Competition practiceInequalities
  • AOnly I follows
  • BBoth I and II follow
  • CNeither I nor II follows
  • DOnly II follows

Step-by-Step Solution

Under this key '⊙' is >, '⊕' is ≤ and '⊟' is =, so the statements read J > K, K ≤ L and L = M. Conclusion II decodes to K ≤ M: from K ≤ L and L = M the equality passes the relation across, giving K ≤ M, so II follows. Conclusion I decodes to J > M, but J > K and K ≤ L point in opposite senses, so J and L are never compared and neither are J and M: J = 9, K = 1, L = M = 2 gives J > M, while J = 9, K = 1, L = M = 40 satisfies every statement and gives J < M. So only II follows. 'Both' comes from reading the first two statements as one descending run. 'Only I follows' comes from swapping the meanings of '⊙' and '⊕' when decoding.
Answer: D) Only II 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

From the single chain E ≤ F = G ≤ H, which of the following is the strongest valid…Two inequalities are known to be true: M > N and P = Q. Which single additional…Three of the following groups of inequalities are impossible. Which group CAN have all…Triangles and a circle stand in for the five relation signs: '△' means 'is greater…Only the relations written below are known. Statement: C ≥ D ≥ E < F Conclusions: I. C >…