Question

Find the number of $2$ digits numbers which when divided by $4$ gives a reminder of $1$____.

• A. $25$
• B. $22$
• C. $23$
• D. $26$

Answer 1

Answer: (B)

$22$

$formulaused$
$a_n=a+(n-1)d$
$The\text{two digit number when divided by 4 leaves remainder 1}$
$\text{13,17,21}..........\text{97}$
${\text{a=13,a}}_n=97,d=4$
$a_n=a+(n-1)d$
$97=13+(n-1)4$
$\Rightarrow 97=13+4n-4$
$\Rightarrow 88=4n$
$n=22$