[{"id":123211,"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":123210,"question":"","questionImage":"123210_636347890094038673-RQ.jpg","choices":[{"text":"","img":"123210_636347890094038673-RA1.jpg","value":"A"},{"text":"","img":"123210_636347890094038673-RA2.jpg","value":"B"},{"text":"","img":"123210_636347890094038673-RA3.jpg","value":"C"},{"text":"","img":"123210_636347890094038673-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":123209,"question":"The total number of subsets that can be formed out of the set {a, b, c} is","choices":[{"text":"1","value":"A"},{"text":"4","value":"B"},{"text":"8","value":"C"},{"text":"12","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":123208,"question":"","questionImage":"123208_636347887380111161-RQ.jpg","choices":[{"text":"A = B","value":"A"},{"text":"B = C","value":"B"},{"text":"A = C","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":123207,"question":"","questionImage":"123207_636347886034363958-RQ.jpg","choices":[{"text":"1","value":"A"},{"text":"12","value":"B"},{"text":"5","value":"C"},{"text":"29","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":123206,"question":"Given X, Y are many 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 =","questionImage":"123206_636347884720062647-RQ.jpg","choices":[{"text":"3","value":"A"},{"text":"1","value":"B"},{"text":"2","value":"C"},{"text":"4","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":123205,"question":"In set builder notation the set {0, 1, 2, ............, 100} can be written as","choices":[{"text":"","img":"123205_636347882725681032-RA1.jpg","value":"A"},{"text":"","img":"123205_636347882725681032-RA2.jpg","value":"B"},{"text":"","img":"123205_636347882725681032-RA3.jpg","value":"C"},{"text":"","img":"123205_636347882725681032-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":123204,"question":"","questionImage":"123204_636347879324068068-RQ.jpg","choices":[{"text":"A","value":"A"},{"text":"B","value":"B"},{"text":"A'","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":123203,"question":"For any set B, BUB' is","choices":[{"text":"Is set B","value":"A"},{"text":"Set B'","value":"B"},{"text":"Universal set","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":123202,"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":123201,"question":"The set (Q, .)","choices":[{"text":"Forms a group","value":"A"},{"text":"Does not form a group","value":"B"},{"text":"Contains no additive identity","value":"C"},{"text":"Contains no additive inverse","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":123200,"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":123199,"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":123198,"question":"The set {1, -1, 1, -1}, 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":123197,"question":"The multiplicative inverse of -1 in the set {1-, 1} is","choices":[{"text":"1","value":"A"},{"text":"-1","value":"B"},{"text":"0","value":"C"},{"text":"Does not exist","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":123196,"question":"The set of complex numbers forms a group under the binary operation of","choices":[{"text":"Addition","value":"A"},{"text":"Multiplication","value":"B"},{"text":"Division","value":"C"},{"text":"Subtraction","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":123195,"question":"The graph of a quadratic function is","choices":[{"text":"Circle","value":"A"},{"text":"Ellipse","value":"B"},{"text":"Parabola","value":"C"},{"text":"Hexagon","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":123194,"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":123193,"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":123192,"question":"Which of the following is the subset of all sets?","choices":[{"text":"","img":"123192_636347868315750051-RA1.jpg","value":"A"},{"text":"","img":"123192_636347868315750051-RA2.jpg","value":"B"},{"text":"","img":"123192_636347868315750051-RA3.jpg","value":"C"},{"text":"","img":"123192_636347868315750051-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":123191,"question":"In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The students enrolled for English cannot any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics","choices":[{"text":"40","value":"A"},{"text":"30","value":"B"},{"text":"50","value":"C"},{"text":"20","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":123190,"question":"Multiplicative inverse of \"1\" is","choices":[{"text":"0","value":"A"},{"text":"-1","value":"B"},{"text":"1","value":"C"},{"text":"{0, 1}","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":123189,"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":"0","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":123188,"question":"The complement of set A relative to universal set U is the set","choices":[{"text":"","img":"123188_636347860727412739-RA1.jpg","value":"A"},{"text":"","img":"123188_636347860727412739-RA2.jpg","value":"B"},{"text":"","img":"123188_636347860727412739-RA3.jpg","value":"C"},{"text":"","img":"123188_636347860727412739-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":123187,"question":"","questionImage":"123187_636347856629954656-RQ.jpg","choices":[{"text":"A = C","value":"A"},{"text":"A = B","value":"B"},{"text":"B = C","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":123186,"question":"","questionImage":"123186_636347853960058934-RQ.jpg","choices":[{"text":"4","value":"A"},{"text":"3","value":"B"},{"text":"2","value":"C"},{"text":"1","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":123182,"question":"","questionImage":"123182_636347848103996458-RQ.jpg","choices":[{"text":"","img":"123182_636347848103996458-RA1.jpg","value":"A"},{"text":"","img":"123182_636347848103996458-RA2.jpg","value":"B"},{"text":"","img":"123182_636347848103996458-RA3.jpg","value":"C"},{"text":"","img":"123182_636347848103996458-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":4},{"id":123176,"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":123174,"question":"Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b<span style=\"color: rgb(34, 34, 34); font-family: &quot;Times New Roman&quot;; font-size: 24px; text-align: center; background-color: rgb(255, 255, 248);\"><i>∈</i></span>G. then inverse of a is","choices":[{"text":"-a","value":"A"},{"text":"a + 1","value":"B"},{"text":"-2 -a","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":123169,"question":"","questionImage":"123169_636347834123808687-RQ.jpg","choices":[{"text":"","img":"123169_636347834123808687-RA1.jpg","value":"A"},{"text":"","img":"123169_636347834123808687-RA2.jpg","value":"B"},{"text":"","img":"123169_636347834123808687-RA3.jpg","value":"C"},{"text":"","img":"123169_636347834123808687-RA4.jpg","value":"D"},{"value":"E"}],"correctAnswer":4}]