  Question

# Directions: In the following questions, the symbols δ  @  copyright  % and ∗ are used with the following meaning as illustrated below. 'P  copyright 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 δ Q′ means 'P  is not greater than Q'. 'P @ Q' means 'P is neither greater than nor smaller than Q'. Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II III and IV given below them is/are definitely true and give your answer accordingly Statements: B  copyright T, T∗R,R%F F @ K Conclusions: I. B%R II.  F∗T III. R%K IV. K∗TOnly IV is trueOnly III is trueNone is trueOnly I is trueOnly II is true

Solution

## The correct option is B Only III is trueδ⇒≤%⇒>∗⇒<copyright≥@⇒=  B copyright  T ⇒B≥T T∗R⇒T<R F @ K ⇒F=K So, B≥T<R>F=K Conclusions: I. B%R⇒B>R            (False) II.  F∗T⇒F<T          (False) III. R%K⇒R>K           (True) IV. K∗T⇒K<T          (False) So, only III is true.  Suggest corrections   