AP ICET 2011 Question Paper

Instructions

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.

AP ICET 2011 - Question 51


Which regions in the diagram are empty (notrepresented) ?

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AP ICET 2011 - Question 52


Which regions contain a single integer ?

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AP ICET 2011 - Question 53


Which regions contain five integers ?

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AP ICET 2011 - Question 54


Which regions contain two integers ?

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AP ICET 2011 - Question 55


The number of elements contained in the regions E and D puttogether is

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Instructions

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:

AP ICET 2011 - Question 56


The code word for STATE is

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AP ICET 2011 - Question 57


The code word for MOUSE is

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AP ICET 2011 - Question 58


The code word for JOLLY is

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AP ICET 2011 - Question 59


The word coded as XEDI is

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AP ICET 2011 - Question 60


The number of letters that are invariant in this code is

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