Test by Bikram | Mock GATE | Test 1 | Question: 14

Question

Match the following $List I$ with $List II$ :

1. $W(x)$: $x$ is a worker
2. $A(x)$: $x$ likes Anand

• List -I

a.  No worker like Anand                              

b. Some worker like Anand                         

c.  If someone s a worker, he likes Anand    

• List II

 p.  $\sim$$\forall x$[ $W(x)$ $\rightarrow$ $\sim$$A(x) ]$    here $\sim$ represent NOT

 q.   $\sim$∃$x$$[$ $W(X)$  $\wedge \sim$ $A(x) ]$

 r.    $\sim$∃$x$$[$ $W(X)$  $\wedge A(x)$ $]$

• A. $a-r, b-q, c-p$
• B. $a-p, b-q, c-r$   
• C. $a-r, b-p, c-q$
• D. $a-q, b-p, c-r$

Comments

some one explain

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this is predicate logic question , read Rosen once and try it , it is easy .

Match list 1 options with List 2 options.

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please solve the formatting issue in actual exam

Answer 1

option p says   There exist some worker  who likes Anand

option q says    If someone is a worker, then he likes Anand

option r says     There exist  no worker who likes  Anand

so it matches with option C.