Instructions

Direction: In the following questions, the symbols $,@,#,^ and * are used with the following meaning as illustrated below. 'P$ Q' means 'P is not smaller than Q'.
'P @ Q' means 'P is neither smaller than nor equal to 'Q
'P # Q' means 'P is neither greater than nor equal to Q'.
'P ^ Q' means 'P is neither greater than nor smaller than Q'.
'P * Q' means 'P is not greater than Q'.
Now in each of the following questions assuming the given statements to be true, find which of the four conclusions I, II, III and IV given below them is/are definitely true and give your answer accordingly.

Question 24

# Statements: R * D, D \$ J, J # M, M @ KConclusions:I. K # JII. D @ MIII. R # MIV. D @ K

Solution

From the statements given, R ≤ D ≥ J < M > K
The conclusions given are K < J ,D > M , R < M , D > K

We know that both J and K are lesser than M, but we don't know whether J > K or not. Hence, the first conclusion is wrong.

Similarly, we know that both M and D are greater than, but we don't know which of the two M and D is greater.

We know that D is greater than R, but as we don't know whether D is greater or lesser than M, we don't know whether M is greater than R or not.

In the same way, the relationship between M and K is known, but as the relationship between M and D is not known, we can't comment about the relationship between D and K

Hence, all the conclusions are wrong.