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Explain the scope of Mathematics in the development of India in the 21st century.
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VOLUNTEER TRAINING FOR DISADVANTAGED IN MATHS – QUESTION 8 : In a shift-code, the letters of the alphabet are replaced by the numbers 1 to 26 starting at some letters. An example is : A = 25, B = 26, C = 1, D = 2, E = 3, F = 4, G = 5, H = 6, I = 7, J = 8, K = 9, L = 10, M = 11, N = 12, O = 13, P = 14, Q = 15, R = 16, S = 17, T = 18, U = 19,V = 20, W = 21, X = 22, Y = 23, Z = 24. In another shift-code, the sum of the numbers representing A, B and C is 42. What is the sum of the numbers which represent the letters of the word MARS using this code?
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VOLUNTEER TRAINING FOR DISADVANTAGED IN MATHS – QUESTION 9 : In a shift-code, the letters of the alphabet are replaced by the numbers 1 to 26 starting at some letters. An example is : A = 25, B = 26, C = 1, D = 2, E = 3, F = 4, G = 5, H = 6, I = 7, J = 8, K = 9, L = 10, M = 11, N = 12, O = 13, P = 14, Q = 15, R = 16, S = 17, T = 18, U = 19,V = 20, W = 21, X = 22, Y = 23, Z = 24. There are two shift-codes in which the sum of the numbers representing the letters of the word HOLE is 48. What is the sum of the numbers representing the letters of the word BLACK in each of these codes?
Illustrate the paradigm shift in the nature of Mathematics from empirical to rational.
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