Nuclear Power Engineering
A fertile material is the one, which can be

Converted into fissile material on absorption of neutron
Fissioned by fast neutrons
Fissioned by either slow or fast neutrons
Fissioned by slow (thermal) neutrons

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Nuclear Power Engineering
A control rod

Should have small absorption cross-section
Is generally made of boron, hafnium or cadmium
Should have large absorption cross-section
Both B and C

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