Discussions
Jasmine Arjun Puri

· started a discussion

· 1 Months ago

As per the options, conclusion 2 says K>N not Z as explained in the solution.
And we have, K>=F>=N, So this makes K>= N true.

Question:
DIRECTIONS: In the following questions the symbols $, @, #, + and © are used with the following meanings:


“M $ N” means “M is equal to N”.

“M @ N” means “M is either greater than or equal to N”.

“M # N” means “M is either smaller than or equal to N”.

“M + N” means “M is neither greater than nor equal to N”.

“M © N” means “M is neither smaller than nor equal to N”.


Now in each of the following question assuming the given statements to be true, find which of the four conclusions I and II given below them is/are definitely true. 


Give answer

(a)   If only Conclusion I is true.

(b)   If only Conclusion II is true.

(c)   If either Conclusion I or Conclusion II is true.

(d)   If neither Conclusion I nor Conclusion II is true.

(e)   If both the Conclusion I and II are true.
Statements: Z + N, F @ N, F # K

Conclusions:

(I)   K @ N

(II)  K © N

Options:
A) Option (a)
B) Option (b)
C) Option (c)
D) Option (d)
E) Option (e)
Solution:
Ans: (a) Z + N ⇒ Z < N............ (i)

F @ N ⇒ F ≥ N............ (ii)

F # K ⇒ F ≤ K............ (iii)

Combining all, we get

K ≥ F ≥ N > Z

Hence, Conclusion I (K ≥ N) is  necessarily true but Conclusion II (K > Z) is not necessarily true.

Shailendra Tiwari

· commented

· 1 Months ago

Ans: (a) Z + N ⇒ Z < N............ (i)
F @ N ⇒ F ≥ N............ (ii)
F # K ⇒ F ≤ K............ (iii)
Combining all, we get
K ≥ F ≥ N > Z
Hence, Conclusion I (K ≥ N) is necessarily true but Conclusion II (K > Z) is not necessarily true.

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