Find the sum of all elements of { α ∈ { 1 , 2 , … , 100 } : HCF ( α , 24 ) = 1 } .

Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesA.P.Medium2 minQB

MathematicsMediuminteger

Find the sum of all elements of ${α \in {1, 2, \dots, 100} : HCF (α, 24) = 1}$ .

Answer:

1633

Solution:

These are integers not divisible by 2 or 3. Inclusion-exclusion gives $5050 - 2550 - 1683 + 816 = 1633$ .

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:A.P.

⏱ 2mℹ️ Source: QB

Loading discussions...