[{"id":13489,"question":"In 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 student enrolled for English cannot attend 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":12301,"question":"Which one is not defined∀n∈Z+","choices":[{"text":"-n!","value":"A"},{"text":"n!","value":"B"},{"text":"(-n)!","value":"C"},{"text":"n!+0!=n!+1","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":12300,"question":"Number of combination of zero or more things out of n different 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of","choices":[{"text":"Permutation","value":"A"},{"text":"Circular permutation","value":"B"},{"text":"Combination","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":12295,"question":"The factorial of a positive integers is a (an)","choices":[{"text":"Rational number","value":"A"},{"text":"Positive integer","value":"B"},{"text":"Real number","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":12294,"question":"How many different 5-digit even numbers are possible form digit 1,2,4,6,8","choices":[{"text":"4 : 4!","value":"A"},{"text":"4!","value":"B"},{"text":"5!","value":"C"},{"text":"4!+4!","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":12293,"question":"If for two events A and B , P(A∪B)=1,then events A and B are","choices":[{"text":"Certain events","value":"A"},{"text":"Mutually exclusive","value":"B"},{"text":"Complementary 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of the word OBJECT is","choices":[{"text":"700","value":"A"},{"text":"600","value":"B"},{"text":"720","value":"C"},{"text":"620","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":12288,"question":"If A is an event then which of the following is true","choices":[{"text":"P(A)<0","value":"A"},{"text":"0≥P(A)≤1","value":"B"},{"text":"P(A)>0","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":12287,"question":"probability of a certain event is","choices":[{"text":"0","value":"A"},{"text":"-1","value":"B"},{"text":"1","value":"C"},{"text":"∞","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":12286,"question":"Product of any n consecutive positive integers is divisible by","choices":[{"text":"n","value":"A"},{"text":"√n","value":"B"},{"text":"n!","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":12285,"question":"The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 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to","choices":[{"text":"n!","value":"A"},{"text":"n-1Cr","value":"B"},{"text":"nCr","value":"C"},{"text":"None of these","value":"D"},{"value":"E"}],"correctAnswer":3},{"id":12280,"question":"If A and B are two disjoint events then","choices":[{"text":"P(A∪B)=P(A)+P(B)","value":"A"},{"text":"P(A∪B)=P(A)-P(A∪B)","value":"B"},{"text":"P(A∪B)=P(A)or P(B)","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":12279,"question":"An event having more than one sample point is called","choices":[{"text":"Certain event","value":"A"},{"text":"Compound event","value":"B"},{"text":"Simple event","value":"C"},{"text":"None","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":12278,"question":"How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108","choices":[{"text":"8","value":"A"},{"text":"6","value":"B"},{"text":"7","value":"C"},{"text":"36","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":12277,"question":"Arithmetic mean between 14 and 18 is","choices":[{"text":"16","value":"A"},{"text":"17","value":"B"},{"text":"15","value":"C"},{"text":"32","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":12276,"question":"The sum of all even numbers less than 100 is","choices":[{"text":"2450","value":"A"},{"text":"2352","value":"B"},{"text":"2272","value":"C"},{"text":"2468","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":12275,"question":"The sum of all positive integral multiple of 5 less than 100 is","choices":[{"text":"950","value":"A"},{"text":"760","value":"B"},{"text":"1230","value":"C"},{"text":"875","value":"D"},{"value":"E"}],"correctAnswer":1},{"id":12274,"question":"The sum of all odd numbers between 100 and 200 is","choices":[{"text":"6200","value":"A"},{"text":"7500","value":"B"},{"text":"6500","value":"C"},{"text":"3750","value":"D"},{"value":"E"}],"correctAnswer":2},{"id":12273,"question":"The sum if 1,3,5,7,9........ up to 20 terms 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