The Pie-chart shows the number of toys of six types A, B, C, D, E and F manufactured by a company. Based on this, answer the questions.
In an examination consisting of tests in three subjects Physics, Chemistry and Mathematics, the following data is obtained.
(i) Total number of candidates appeared :400.
(ii) Number of candidates failed in all the three subjects: 12.
(ii) Number of candidates failed only in Physics and Chemistry: 24.
(iv) Number of candidates failed only in Chemistry and Mathematics: 18.
(v) Number of candidates failed in Mathematics and Physics: 32.
(vi) Number of candidates failed in only Physics, only chemistry and only Mathematics are 40, 30 and 50 respectively.
The letters of the English alphabet A, B, C, .. . , Z are given ranks 1, 2, 3, ... , 26 respectively. Then they are coded as follows:
(i) A letter with rank 'n' is coded to the letter with rank r, where r is the remainder when 7n is divided by 26, here $$1 \leq r \leq 26$$.
(ii) For decoding reverse process is allowed.
Based on this coding process, answer the questions 56-60.
The number of letters in the alphabet that are coded to themselves as under the given code is