AP ICET 2011
Each of the integers from 1 to 16 are to be placed on the Venn diagram given below in the appropriate regions A to H. Take
S = {the set of Integers from 1 to 16}
I = {The set of odd integers from 1 to 16}
II = {The set of perfect square integers from 1 to 16}
III = {The set of prime integers from 1 to 16}
$$H = S - \left\{I \cup II \cup III \right\}$$
Answer the questions based on this data.
In a code, the $$n^{th}$$ letter in English alphabet is coded to $$k^{th}$$ letter, where $$k \equiv 3n + 2$$(mod 26), $$1 \leq k \leq 26$$. For example, the $$5^{th}$$ letter E is coded as Q since $$3 \times 5 + 2 = 17 \equiv 17$$(mod 26) and Q is the $$17^{th}$$ letter. The reverse of this process is used for decoding. Based on this coding and decoding processes, answer the questions:
