1
GATE CSE 1990
MCQ (Single Correct Answer)
+2
-0.6
A graph is planar if and only if,
A
it does not contain subgraphs homeomorphic to K5 and K3, 3.
B
it does not contain subgraphs isomorphic to K5 or K3, 3.
C
it does not contain subgraphs isomorphic to K5 and K3, 3.
D
it does not contain subgraphs homeomorphic to K5 or K3, 3.
2
GATE CSE 1990
MCQ (Single Correct Answer)
+2
-0.6
Indicate which of the following well-formed formula are valid:
A
$$\left( {\left( {{\rm P} \Rightarrow Q} \right) \wedge \left( {Q \Rightarrow R} \right)} \right) \Rightarrow \left( {{\rm P} \Rightarrow R} \right).$$
B
$$\left( {{\rm P} \Rightarrow Q} \right) \Rightarrow \left( { \sim P \Rightarrow \sim Q} \right)$$
C
$$\left( {{\rm P}\, \wedge \,\left( { \sim {\rm P}\,\,V \sim Q} \right)} \right) \Rightarrow Q\left( { \sim {\rm P} \Rightarrow \sim Q} \right)$$
D
$$\left( {\left( {{\rm P} \Rightarrow R} \right) \vee \left( {Q \Rightarrow R} \right)} \right) \Rightarrow \left( {\left( {\left( {{\rm P} \vee Q} \right) \Rightarrow R} \right)} \right)$$
3
GATE CSE 1990
Subjective
+2
-0
In a two -level virtual memory, the memory access time for main memory, $${t_M} = {10^{ - 8}}\sec $$ and the memory access time for the secondary memory, tag $$ = {10^{ - 3}}.$$ What must be the hit ratio, $$H$$ such that the access efficiency is within $$80$$ percent of its maximum value?
4
GATE CSE 1990
Subjective
+2
-0
Match the pairs in the following Question.
$$\eqalign{ & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,List:\,{\rm I} \cr & \left( A \right)\,\,Criotical\,\,region \cr & \left( B \right)\,\,Wait/Signal \cr & \left( C \right)\,\,Working\,\,set \cr & \left( D \right)\,\,Deadlock \cr & \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,List:\,{\rm I}{\rm I} \cr & \left( p \right)\,\,Hoare's\,\,monitor \cr & \left( q \right)\,\,Mutual\,\,exclusion \cr & \left( r \right)\,\,\Pr inciple\,\,of\,\,locality \cr & \left( s \right)\,\,Circular\,\,Wait \cr} $$
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