[{"id":13578,"question":"{x : xε Z and x < 1} is","choices":[{"text":"Singleton set","value":"A"},{"text":"A set with two points","value":"B"},{"text":"Empty set","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":13577,"question":"Φ set is the _______ of all sets","choices":[{"text":"Subset","value":"A"},{"text":"Union","value":"B"},{"text":"Universal","value":"C"},{"text":"Intersection","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":13548,"question":"The set {-1,1} is closed under the binary operation of","choices":[{"text":"Addition","value":"A"},{"text":"Multiplication","value":"B"},{"text":"Subtraction","value":"C"},{"text":"Division","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":13546,"question":"If x = 1/x for x ∈ R then the value of x is","choices":[{"text":"±1","value":"A"},{"text":"0","value":"B"},{"text":"2","value":"C"},{"text":"4","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":13539,"question":"Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then","choices":[{"text":"A = B","value":"A"},{"text":"B = C","value":"B"},{"text":"A≠ C","value":"C"},{"text":"A ≠ B","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":13535,"question":"If n(X) = 18, n(X∩Y) = 7, n(X∪ Y) = 40 then n(Y) =","choices":[{"text":"1","value":"A"},{"text":"12","value":"B"},{"text":"5","value":"C"},{"text":"29","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":13530,"question":"Given X.Y are any two sets such that number of elements in X = 18, number of elements in set Y = 24,and number of elements in set X∪ Y =40,then number of elements in set x∩ Y =","choices":[{"text":"3","value":"A"},{"text":"1","value":"B"},{"text":"2","value":"C"},{"text":"4","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":13523,"question":"If A ⊆ B then A ∪ B is","choices":[{"text":"A","value":"A"},{"text":"B","value":"B"},{"text":"A'","value":"C"},{"text":"A ∩B","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":13519,"question":"For any set B,B∪B' is","choices":[{"text":"Is set B","value":"A"},{"text":"Set B'","value":"B"},{"text":"Universal set","value":"C"},{"value":"D"},{"value":"E"}],"correctAnswer":3},{"id":13517,"question":"The set (Z,+) forms a group","choices":[{"text":"Forms a group w.r.t addition","value":"A"},{"text":"Non commutative group w.r.t multiplication","value":"B"},{"text":"Forms a group w.r.t multiplication","value":"C"},{"text":"Doesn't form a group","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":13516,"question":"The set Q","choices":[{"text":"Forms a group under addition","value":"A"},{"text":"Does not form a group","value":"B"},{"text":"Contains no additive indentity","value":"C"},{"text":"Contains no additive inverse","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":13515,"question":"The statement that a group can have more than one identity elements is","choices":[{"text":"True","value":"A"},{"text":"False","value":"B"},{"text":"Fallacious","value":"C"},{"text":"Some times true","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":13505,"question":"The set of all positive even integers is","choices":[{"text":"Not a group","value":"A"},{"text":"A group w.r.t subtraction","value":"B"},{"text":"A group w.r.t division","value":"C"},{"text":"A group w.r.t multiplication","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":13496,"question":"The set {1,-1, i, -i} form a group under","choices":[{"text":"Addition","value":"A"},{"text":"Multiplication","value":"B"},{"text":"Subtraction","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":13495,"question":"The multiplicative inverse of -1 in the set {1-,1} is","choices":[{"text":"1","value":"A"},{"text":"-1","value":"B"},{"text":"±1","value":"C"},{"text":"0","value":"D"},{"text":"Does not exist","value":"E"}],"correctAnswer":2},{"id":13494,"question":"The set of complex numbers forms a group under the binary operation of","choices":[{"text":"Addition","value":"A"},{"text":"none of these","value":"B"},{"text":"Division","value":"C"},{"text":"Subtraction","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":13492,"question":"The set of the first elements of the ordered pairs forming a relation is called its","choices":[{"text":"Function on B","value":"A"},{"text":"Range","value":"B"},{"text":"Domain","value":"C"},{"text":"A into B","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":13491,"question":"The set {{a,b}} is","choices":[{"text":"Infinite set","value":"A"},{"text":"Singleton set","value":"B"},{"text":"Two points set","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":13490,"question":"Which of the following is the subset of all sets","choices":[{"text":"Φ","value":"A"},{"text":"{1,2,3}","value":"B"},{"text":"{Φ}","value":"C"},{"text":"{0}","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":13487,"question":"The multiplicative inverse of x such that x = 0 is","choices":[{"text":"-x","value":"A"},{"text":"Does not exist","value":"B"},{"text":"1/x","value":"C"},{"text":"±1","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":13486,"question":"The complement of set A relative to universal set U is the set","choices":[{"text":"{x / x∈ A∧ x∈ U}","value":"A"},{"text":"{x / x∉ A∧ x ∈ U}","value":"B"},{"text":"{x / x∈ A and x ∉ U}","value":"C"},{"text":"A-U","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":13482,"question":"Let A,B, and C be any sets such that A∪B = A∪C and A∩B = A∩C then","choices":[{"text":"A≠ C","value":"A"},{"text":"B = C","value":"B"},{"text":"A = B","value":"C"},{"text":"A≠ B","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":13481,"question":"Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =","choices":[{"text":"4","value":"A"},{"text":"3","value":"B"},{"text":"2","value":"C"},{"text":"1","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":13480,"question":"For any set X, X∪X is","choices":[{"text":"X","value":"A"},{"text":"X'","value":"B"},{"text":"Φ","value":"C"},{"text":"Universal Set","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":13477,"question":"G = {e, a, b, c} is an Abelian group with e as identity element The order of the other elements are","choices":[{"text":"2,2,2","value":"A"},{"text":"3,3,3","value":"B"},{"text":"2,2,4","value":"C"},{"text":"2,3,4","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":13473,"question":"Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is        ","choices":[{"text":"-a","value":"A"},{"text":"a +1","value":"B"},{"text":"-1-a","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":13448,"question":"Which of the following has the same value as i113","choices":[{"text":"i","value":"A"},{"text":"-1","value":"B"},{"text":"-i","value":"C"},{"text":"1","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":13445,"question":"If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2","choices":[{"text":"36 +(-32)i","value":"A"},{"text":"-36+32i","value":"B"},{"text":"6+(-11)i","value":"C"},{"text":"0, +(-12)i","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":12155,"question":"Under multiplication, solution set of is","choices":[{"text":"Groupoid","value":"A"},{"text":"Abelian group","value":"B"},{"text":"Semi group","value":"C"},{"text":"All of these","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":12154,"question":"Identity w.r.t intersection in a power set of any set is","choices":[{"text":"∅","value":"A"},{"text":"Set itself","value":"B"},{"text":"Singleton set","value":"C"},{"text":"{0}","value":"D"},{"value":"E"}],"correctAnswer":2}]