Let R be a relation from the set \1,2,3,, 60 to itself such that R=\(a, b): b=p q, where p, q 3 are prime numbers. Then, the number of elements in R is:

Sets, Relations and Functions: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jul, Morning shift · Q5362

JEE Main 202229 Jul, Morning shiftMathematicsHardSets, Relations and Functions168× since 2002

Let R be a relation from the set

\{1,2,3, \ldots, 60\}

to itself such that

R=\{(a, b): b=p q

, where

p, q \geqslant 3

are prime numbers}. Then, the number of elements in R is :