The families in a colony are categorized into six groups A, B, C, D, E and F based on the income of the family. Their distribution is as given in the Pie chart below. Use this to answer Questions.
What is the percentage of E category families in the colony?
If there are 108 families in category B, then what is the number of families in category F?
If the total number of families in the colony is 720, what is the number of families in category A?
If d and e respectively denote the number of families in the categories D and E; and if d = ke, then k =
If the category F has 10 families, then the total number of families in the colony is
In a code the $$n^{th}$$ letter in the English alphabet is coded as the $$r^{th}$$ letter of it, where r is the remainder when 3n + 2 is divided by 26. For example, the $$7^{th}$$ letter G is coded as W since 3.7 + 2 = 23 and W is the $$23^{rd}$$ letter; the $$8^{th}$$ letter H is coded as Z since 3.8 + 2 = 26 and Z is the $$26^{th}$$ letter in the alphabet. The reverse is used for decoding. Based on this coding and decoding answer Questions.
The number of letters in the alphabet that are coded to themselves is