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Abhi mishra

· started a discussion

· 1 Months ago

Please check (Question:99517.1)

According to my solution, the First statement is true.

Question:

DIRECTIONS: 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 greater than Q’.

‘P @ Q’ means P is neither greater than nor equal to Q’.

‘P % Q’ means ‘P is not greater than Q’

‘P © Q’ means ‘P is neither smaller than nor equal to Q’.


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

Statements:

B $ K, K @ D, D # M

               

Conclusions:

I. B $ M 

II. B @ M
Options:
A) if only conclusion I is true.
B) if only conclusion II is true.
C) if either conclusion I or II is true.
D) if neither conclusion I nor II is true.
E) if both conclusions I and II are true.
Solution:

Ans: (d) (i) P # Q means P < Q.

Therefore P > Q or P = Q  Thus P ≥ Q

(ii) P $ Q means P< Q and P > Q. Therefore P = Q

(iii) P @ Q means P > Q and P ≠ Q. Therefore P < G

(iv) P % Q means P > Q. Therefore P < Q or P = Q. Thus P ≤ Q

(v) P © Q means P < Q and P ≠ Q. Therefore P > Q. Thus,

P ≠ Q ⇒ ≥

P $ Q ⇒ =

P @ Q ⇒ <

P % Q ⇒ ≤ 

P © Q ⇒ >

Statements  

B $ K ⇒ B = K

K @ D ⇒ K < D

D # M ⇒ D ≥ M

Therefore  B = K < D ≥ M

Conclusions

I. B $ M  ⇒ B = K            (False)

II. B @ M  ⇒ B < M         (False)

Knowledge Expert

· commented

· 1 Months ago

Dear Student, Please post your complete solution.
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