Question
If the word KAMAL is substituted by 21413 in a code
language, then how will the word MAHAL be written in the same code language?Solution
In the code language, each letter is represented by the sum of the position of that letter in the alphabet with the position of the corresponding letter in the word. For example, for KAMAL: • K (11) → 1 + 1 = 2 • A (1) → 1 + 1 = 2 • M (13) → 1 + 3 = 4 • A (1) → 1 + 1 = 2 • L (12) → 1 + 2 = 3 Thus, KAMAL → 21413, and the same pattern applies to MAHAL: • M (13) → 1 + 3 = 4 • A (1) → 1 + 1 = 2 • H (8) → 1 + 8 = 9 • A (1) → 1 + 1 = 2 • L (12) → 1 + 2 = 3 Hence, MAHAL → 41813.
If n(A) = 25, n(B) = 40 and n(A ∪ B) = 50, then n(A ∩ B) equals
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