(B) According to the $2001$ census,the state with the highest population in India is Uttar Pradesh ($166$ million,approximately $18.17\%$ of the total

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(B) According to the $2001$ census,the state with the highest population in India is Uttar Pradesh ($166$ million,approximately $18.17\%$ of the total population).The state with the lowest population in India is Sikkim ($5.40$ lakh).Therefore,the correct option is $B$.