JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Application +4 | -1

If D_30 is the set of the divisors of 30,

x,y \in {D_{30}}

we define

x + y = \mathrm{LCM}\left( {x,y} \right),x.y = \gcd \left( {x,y} \right),x' = \frac{{30}}{x}\;\;and\;\;f\left( {x,y,z} \right) = \left( {x + y} \right).\left( {y' + z} \right),

then

f\left( {2,5,15} \right)

is equal to

View answer and explanation

Correct option: C

Option C (10) is correct because it follows from the given definitions of +, ., and ' within the set D_30.

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