Let A=\2, 3, 4, 5, 6. Let R be a relation on the set A× A given by (x, y)R(z, w) if and only if x divides z and y≤ w. Then the number of elements in R is _ _ _.

Sets, Relations and Functions: JEE Main 2026 Mathematics question

JEE Main 2026 · 2 Apr, Evening shift · Q21

JEE Main 20262 Apr, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let

A=\{2, 3, 4, 5, 6\}

. Let R be a relation on the set

A\times A

given by

(x, y)R(z, w)

if and only if

x

divides

z

and

y\le w

. Then the number of elements in R is ______.

Your answerType your answer. Integers and decimals are accepted.