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Let  X = {x : 1 ≤ x ≤ 50, x ∈ N}
A = {x: x is multiple of 2}
B = {x: x is multiple of 7}
Then find number of elements in the smallest subset of X which contain elements of both A and B  
    Correct answer is '29'. Can you explain this answer?
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    Let X = {x : 1 ≤ x ≤ 50, x ∈ N}A = {x: x is multiple of 2}B...
    X={x:1 less than or equal to x less than or equal to50,x belongs to natural number(N)},---(given),
    A={x:x is a multiple of 2}={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,....50},
    nA=a=2,d=2,an=50,
    an=a+(n-1)d,
    50=2+(n-1)2,
    48/2=n-1,
    24+1=n,
    n=25,
    or, nA=25,
    B={x:x is a multiple of 7},
    ={7,14,21,28,35,42,49},
    nB=7,
    AintersectionB ={14,28,42},n (AUB)=3,
    Now, to find--> the number of elements in the smallest subset of x which contains both the element of a and b=n(A UB),
    n(AUB)=nA+nB -n(A intersection B),
    =25+7-3=29
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    Let X = {x : 1 ≤ x ≤ 50, x ∈ N}A = {x: x is multiple of 2}B = {x: x is multiple of 7}Then find number of elements in the smallest subset of X which contain elements of both A and BCorrect answer is '29'. Can you explain this answer?
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    Let X = {x : 1 ≤ x ≤ 50, x ∈ N}A = {x: x is multiple of 2}B = {x: x is multiple of 7}Then find number of elements in the smallest subset of X which contain elements of both A and BCorrect answer is '29'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let X = {x : 1 ≤ x ≤ 50, x ∈ N}A = {x: x is multiple of 2}B = {x: x is multiple of 7}Then find number of elements in the smallest subset of X which contain elements of both A and BCorrect answer is '29'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let X = {x : 1 ≤ x ≤ 50, x ∈ N}A = {x: x is multiple of 2}B = {x: x is multiple of 7}Then find number of elements in the smallest subset of X which contain elements of both A and BCorrect answer is '29'. Can you explain this answer?.
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