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Assign a truth value to the following statements : 3+5=8 vv 0 gt 1

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in a class of 45 student, 22 can speak hindi and 12 can speak English only . The number of students , who can speak both Hindi and English , is

To each element of the set S= {1,2,…, 1000} a colour is assigned. Suppose that for any two elements a,b of S, if15 divides a+b then they are both assigned the same colour. What is the maximum possible number of distinct colours used?