2023

JEE Main 2023 (Online) 15th April Morning Shift

Full Paper Analysis & Solutions

Mathematics

NUMERICAL

1 APPLY NUMERICAL 4 Mark(s) 2023
#1081
The number of elements in the set $\left\{n \in \mathbb{N}: 10 \leq n \leq 100\right.$ and $3^{n}-3$ is a multiple of 7$\}$ is ___________.
HARD
2 COMPETENCY REMEMBER NUMERICAL 4 Mark(s) 2023
#1082
Let $A=\{1,2,3,4\}$ and $\mathrm{R}$ be a relation on the set $A \times A$ defined by $R=\{((a, b),(c, d)): 2 a+3 b=4 c+5 d\}$. Then the number of elements in $\mathrm{R}$ is ____________.
EASY
3 COMPETENCY REMEMBER NUMERICAL 4 Mark(s) 2023
#1112
The number of elements in the set $\left\{n \in \mathbb{N}: 10 \leq n \leq 100\right.$ and $3^{n}-3$ is a multiple of 7$\}$ is ___________.
EASY
4 COMPETENCY REMEMBER NUMERICAL 4 Mark(s) 2023
#1113
Let $A=\{1,2,3,4\}$ and $\mathrm{R}$ be a relation on the set $A \times A$ defined by $R=\{((a, b),(c, d)): 2 a+3 b=4 c+5 d\}$. Then the number of elements in $\mathrm{R}$ is ____________.
EASY