The opposite letter of A is Z, C is X, E is V and G is T. Similarly, B = Y, D = W, F = U and H = S.

The new number would be the product of 32 and 4, which results in 128 as the answer.

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1 + 3 = 4. 4 + 6 = 10. 10 + 9 = 19. 19 + 12 = 31. 31 + 15 = 46. The next number would be: 46 + 18 = 64 Hence, option (1) is correct.  

A number divisible by 2, 3 and 5 is of the type 2 x 3 x 5 x a = 30 a. Out of the given options, only 30 is that type of a number. Hence, option (5) is correct.

The difference between each pair is: 3, 5, 7 and 11, i.e. prime numbers. Hence, the next number would be with difference 13. So, 28 + 13 = 41

From BEER = 9775, the code for B = 9, E = 7 and R = 5.Similarly, REAR = 5725, the code for R = 5, A = 2. Hence, BEAR = 9725.

All the even numbered terms are squared and the nodd numbered terms are cubed. Hence, 7th term = 7 ³ = 343.

7 + 3 = 7² - 3 = 49 - 3 = 46 8 + 4 = 8² - 4 = 64 - 4 = 60 Similarly, 4 + 3 = 4² - 3 = 16 - 3 = 13

In the series: 2, 6, 12, 20, ..., each number is written as the sum of its square and the number itself. 2 = 1² + 1 6 = 2² + 2 12 = 3² + 35² + 5 = 25 + 5 = 30 6² + 6 = 36 + 6 = 42 Hence, their sum would be 72.  

It consists of two series : First series : 7, 11, 15, 19 (4 is added) Second series : 18,15, 12 (3 is subtracted) The series continues as: 7, 18, 11, 15, 15, 12, 19, 9, 23, 6, 27 and so on. Hence, the 9th and 10th numbers are 23 and 6, respectively.

1 + 1 = 2. 1 + 2 = 3. 2 + 3 = 5. a = 3 + 5 = 8. 8 + 5 = 13. b = 13 + 8 = 21. Thus, a + b = 8 + 21 = 29.

7%2 = 7² + 2² - (7)(2) 7%2 = 49 + 4 - 14 7%2 = 53 - 14 7%2 = 39  

8 + 9 = 17. 17 + 11 = 28. 28 + 13 = 41. 41 + 15 = 56. 56 + 17 = 73. 73 + 19 = 92. Hence, 7th term is 92.

The letters S, H, A, R and P are represented by 19, 8, 1, 18 and 16. This is a word.