Discussion of Question with ID = 068 under Inequalities

This is the discussion forum for this question. If you find any mistakes in the solution, or if you have a better solution, then this is the right place to discuss. A healthy discussion helps all of us, so you are requested to be polite and soft, even if you disagree with the views of others. The question and its current solution has also been given on this page.

Advertisement

Question

In a certain language different symbols represent different operators as follows.

  1. √ means X = Y
  2. Δ means X ≤ Y
  3. Ω means X ≮ (not less than) Y
  4. $ means X < Y
  5. £ means X > Y

Statements: R √ S; S $ T; T Δ U;

Conclusions:

  1. R £ U
  2. T $ R
A

both I and II are true.

B

only conclusion II is true.

C

only conclusion I is true.

D

neither I nor II is true.

Soln.
Ans: d

The statements can be translated to R = S < T ≤ U. Conclusion I translates to R > U. Conclusion II translates to T < R. So we can see that neither I nor II is true.

Please remember that in such questions ≯ (not more than) is same as ≤, and ≮ (not less than) is same as ≥.

Comments and Discussion