2025

JEE Main 2025 (Online) 7th April Morning Shift

Full Paper Analysis & Solutions

Mathematics

NUMERICAL

1 COMPETENCY REMEMBER NUMERICAL 4 Mark(s) 2025
#1079
The number of relations on the set $A=\{1,2,3\}$, containing at most 6 elements including $(1,2)$, which are reflexive and transitive but not symmetric, is __________.
EASY
2 COMPETENCY REMEMBER NUMERICAL 4 Mark(s) 2025
#1090
For $n \geq 2$, let $S_n$ denote the set of all subsets of $\{1,2, \ldots, n\}$ with no two consecutive numbers. For example $\{1,3,5\} \in S_6$, but $\{1,2,4\} \notin S_6$. Then $n\left(S_5\right)$ is equal to ________
EASY
3 COMPETENCY REMEMBER NUMERICAL 4 Mark(s) 2025
#1110
The number of relations on the set $A=\{1,2,3\}$, containing at most 6 elements including $(1,2)$, which are reflexive and transitive but not symmetric, is __________.
EASY
4 COMPETENCY REMEMBER NUMERICAL 4 Mark(s) 2025
#1121
For $n \geq 2$, let $S_n$ denote the set of all subsets of $\{1,2, \ldots, n\}$ with no two consecutive numbers. For example $\{1,3,5\} \in S_6$, but $\{1,2,4\} \notin S_6$. Then $n\left(S_5\right)$ is equal to ________
EASY