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Prime Numbers

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (f:{1,2,3,4,5}\to{1,2,3,4,5}) is given by (f(x)=x) when (x) is prime and (f(x)=6-x) otherwise, what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationExpert MathematicsIf (f:{1,2,3,4,5}\to{0,1}) is given by (f(x)=1) when (x) is prime and (f(x)=0) otherwise, what is the range?Class 11Relations and FunctionsFunctions as a special kind of relationHard MathematicsIf \(f:\{1,2,3,4\}\to\{0,1\}\) is defined by the rule that \(f(x)=1\) when \(x\) is prime and \(f(x)=0\) when \(x\) is not prime, what is the value of \(f(4)\)?Class 11Relations and FunctionsFunctions as a special kind of relationMedium MathematicsLet \(A=\{1,2,3,4\}\), and define a relation \(R\) on ordered pairs of elements of \(A\) such that \((a,b)\in R\) if and only if \(a+b\) is prime. Which of the following ordered pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsExpert MathematicsIf A = {1, 2, 3, 4, 5} and R = {(a, b) : a + b is prime}, which ordered pair belongs to R?Class 11Relations and FunctionsRelationsEasy MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{2,3,4,5,6,7\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy both conditions: \(a+b\) is prime and \(a<b\)?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf (A={1,2,3,4,5}) and (B={0,1}), how many pairs ((x,y)) in (A\times B) have (x) prime?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsWhat is the roster form of K = {x : x is an even prime number less than 20}?Class 11SetsRoster Form and Inequality ConditionsEasy