Jee Main 2024 27 01 2024 Shift 1 - Question3
Question 3
$S _1=3,9,15, \ldots 25$ terms
$S _2=3,8,13, \ldots 37$ terms
Number of common terms in $S _1, S _2$ is equal to
(1) 3
(2) 4
(3) 5
(4) 6
Show Answer
Answer: (3)
Solution:
$S _1=3,9,15 \ldots .147$
$d _1=6, a _1=3$
$S _2=3,8,13, \ldots 183$
$d _2=5, a _2=3$
$\operatorname{LCM}\left(d _1, d _2\right)=30$
$\therefore \quad 3,33, \ldots 123$
$\therefore \quad 123=3+(n-1) 30$
$\Rightarrow n=5$
$\therefore \quad$ Number of common terms $=5$
BETA
