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TestBook TestSeries question to find max child possible in B+ Tree
Sahil_Lather
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Databases
Jan 29, 2023
edited
Jan 30, 2023
by
makhdoom ghaya
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In a B+ Tree index having order 6, which is the maximum number of child pointers it can have. Keys are numbered from 1 to 83. What can be the maximum number of nodes which can be used to store all the keys?
A. 17
B. 19
C. 59
D. 57
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Sahil_Lather
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Databases
Jan 29, 2023
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Jan 30, 2023
by
makhdoom ghaya
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Sahil_Lather
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Chandrabhan Vishwa 1
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Jan 30, 2023
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index=6 means minimum degree is 3 and minimum key is 2.
in question telling about maximum number of node then we select minimum degree of the node
level node key
1 1 1
2 2 2*2
3 2*3 2*3*2
4 2*3*3 2*3*3*2 we know that all record store at last level here total key is 36
5 2*3*3*3 2*3*3*3*2 here total key is 108 which is more than the 83 so we can consider at only level 4
so total number of node till 4 level is 27
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Sahil_Lather
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Jan 30, 2023
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No we have to maximize the nodes .
Ans : 57
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Chandrabhan Vishwa 1
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yes i minimize the degree of the node and maxmize the number of node in B+ tree
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