jee-main 2026 Q25

jee-main · India · session1_21jan_shift2 Probability Definitions Combinatorial Counting (Non-Probability)
Let $A = \{2, 3, 5, 7, 9\}$. Consider a relation defined as
$R = \{(x, y) : 2x \leq 3y, x \in A, y \in A\}$
$l =$ total number of elements in relation R
$m =$ Number of elements required in R to make it symmetric.
Find $l + m$.
(A) 18
(B) 25
(C) 27
(D) 30
Let $A = \{2, 3, 5, 7, 9\}$. Consider a relation defined as

$R = \{(x, y) : 2x \leq 3y, x \in A, y \in A\}$

$l =$ total number of elements in relation R

$m =$ Number of elements required in R to make it symmetric.

Find $l + m$.

(A) 18

(B) 25

(C) 27

(D) 30