VOLUNTEER TRAINING FOR DISADVANTAGED IN MATHS – QUESTION 5 : If Karen starts counting from 1 and goes up in threes : 1, 4, 7, ..., and Anne starts counting at the same time from 101 and goes down in twos at the same rate : 101, 99, 97, ..., they will say the same number together. What is that number?
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VOLUNTEER TRAINING FOR DISADVANTAGED IN MATHS – ANSWER 5 : 61, where Karen : Ann = 1 : 101, 4 : 99, 7 : 97, 10 : 95, 13 : 93, 16 : 91, 19 : 89, 22 : 87, 25 : 85, 28 : 83, 31 : 81, 34 : 79, 37 : 77, 40 : 75, 43 : 73, 46 : 71, 49: 69, 52 : 67, 55 : 65, 58 : 63, (61 : 61).
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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?
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