Discussion Forum



Certain relations between different set of elements is given (in terms of 'less than', 'greater than' or 'equal to'), using either the real symbols or substituted symbols. The candidate is required to analyse the given statements and then decide which of the relations given as alternatives follows from those given in the statements.

1)

A @ B means A is not greater than B;

A # B means A is greater than or equal to B

A & B means A is neither greater than nor less than B

A % B means A is less than B

A * B means A is neither less than nor equal to B

Statement : K @ L , L % N ,E # N

Conclusion I. K %  E        II.E * L               III.N * K

Assuming the given statenants to be true, find - which of the three conclusions I, II and III gioen below them is/are definitely true.


A) Only I and II are true

B) Only II and III are true

C) Only I and III are true

D) All are true

E) None of these

Answer:

Option D

Explanation:

Clearly we have,

A @ B => A > B => A ≤ B

A # B =>A ≥ B

A & B =>A > B and A < B  => A=B

A % B =>A < B

A * B => A < B and A ≠ B => A > B

Given statements K ≤ L, L < N , E ≥ N

I. Relation between K and E

K ≤ L , L < N , N ≤ E => K ≤ L < N ≤ E => K < E  ie   K % E

II. Relation between E and L

E ≥ N, N > L => E ≥ N > L => E > L ie E * L

III. Relation between N and K 

N > L , L ≥ K => N > L ≥ K  => N > K ie N * K

So, all I,II,III are true