1
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the B+ tree in the adjoining figure, where each node has at most two keys and three links. GATE CSE 2007 Database Management System - File Structures and Indexing Question 9 English 1

Keys K 15 and then K 25 are inserted into this tree in that order. Exactly how many of the following nodes (disregarding the links) will be present in the tree after the two insertions?

GATE CSE 2007 Database Management System - File Structures and Indexing Question 9 English 2
A
1
B
2
C
3
D
4
2
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
Consider the following Boolean function with four variables
$$F\left( {w,\,x,\,y,\,z} \right) = \sum {\left( {1,\,3,\,4,\,6,\,9,\,11,\,12,\,14} \right)} $$ the function is
A
Independent of one variables
B
Independent of two variables
C
Independent of three variables
D
Depends on all variables
3
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Let $$f\left( {w,x,y,z} \right) = \sum {\left( {0,4,5,7,8,9,13,15} \right).} $$ Which of the following expressions are NOT equivalent to $$f?$$
$$(P)\,\,\,$$ $$x'y'z' + w'xy' + wy'z + xz$$
$$(Q)\,\,\,$$ $$w'y'z' + wx'y' + xz$$
$$(R)\,\,\,$$ $$w'y'z' + wx'y' + xyz + xy'z$$
$$(S)\,\,\,$$ $$x'y'z' + wx'y' + w'y$$
A
$$P$$ only
B
$$Q$$ and $$S$$
C
$$R$$ and $$S$$
D
$$S$$ only
4
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
How many $$3$$ to $$8$$ decodes with an enable input are needed to construct to constant $$6$$ to $$64$$ line decoder without using any other logic gates
A
$$7$$
B
$$8$$
C
$$9$$
D
$$10$$
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