(I) Kamal is available at home from 12 noon t | vedclass

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(D) To determine the number of days where only one brother is available,we analyze the schedule day by day:$1$. Monday: Navin $(10 \,a.m. - 2 \,p.m.)$

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(D) To determine the number of days where only one brother is available,we analyze the schedule day by day:$1$. Monday: Navin $(10 \,a.m. - 2 \,p.m.)$ and Rajiv $(9 \,a.m. - 12 \,noon)$. Both are available between $10 \,a.m. - 12 \,noon$. Only one is available at other times.$2$. Tuesday: Only Kamal $(12 \,noon - 4 \,p.m.)$.$3$. Wednesday: Only Rajiv $(9 \,a.m. - 12 \,noon)$.$4$. Thursday: Kamal $(12 \,noon - 4 \,p.m.)$,Navin $(10 \,a.m. - 2 \,p.m.)$,and Rajiv $(9 \,a.m. - 12 \,noon)$. Overlap exists.$5$. Friday: Navin $(10 \,a.m. - 2 \,p.m.)$ and Rajiv $(2 \,p.m. - 4 \,p.m.)$. No overlap.$6$. Saturday: Only Rajiv $(2 \,p.m. - 4 \,p.m.)$.$7$. Sunday: Kamal $(12 \,noon - 4 \,p.m.)$,Navin $(10 \,a.m. - 2 \,p.m.)$,and Rajiv $(2 \,p.m. - 4 \,p.m.)$. Overlap exists.Analyzing the availability,we find that on all $7$ days of the week,there are specific time slots where only one brother is present at home.

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