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04 Oct 2019, 00:43
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Difficulty:
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59% (02:41) correct
41%
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[GMAT math practice question]
\(f(x)\) denotes the number of prime numbers less than or equal to a positive integer \(x\), and \(m(a, b)\) denotes the maximum of \(a\) and \(b.\) What is the summation of all the values of \(x\) which satisfy \(m(f(x), 5)=5\)?
\(A. 70\)
\(B. 72\)
\(C. 74\)
\(D. 76\)
\(E. 78\)
\(f(x)\) denotes the number of prime numbers less than or equal to a positive integer \(x\), and \(m(a, b)\) denotes the maximum of \(a\) and \(b.\) What is the summation of all the values of \(x\) which satisfy \(m(f(x), 5)=5\)?
\(A. 70\)
\(B. 72\)
\(C. 74\)
\(D. 76\)
\(E. 78\)
04 Oct 2019, 01:12
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MathRevolution please share approach foe question.
04 Oct 2019, 03:55
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m(f(x),5)=5
hence f(x) can be 0,1,2,3,4,or 5
x can take value of all positive integers less than 6th prime number, that is 13.
Sum of all values of x= 1+2+........11+12= 12*13/2=78
hence f(x) can be 0,1,2,3,4,or 5
x can take value of all positive integers less than 6th prime number, that is 13.
Sum of all values of x= 1+2+........11+12= 12*13/2=78
Adarshtgmat
