Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:
If the square of an odd natural number is divided by 8, then the remainder will be
(a)1
(b)2
(c)3
(d)4
Answer
Answer (as printed): A
Explanation
Let the odd natural number be $(2 n+1)$. $$n=1 \text { gives }(2 n+1)^{2}=(2+1)^{2}=9 .$$ This when divided by 8 gives 1 as remainder. $n=2$ gives $(2 n+1)^{2}=25$. This when divided by 8 gives 1 as remainder and so on.
Explanation as extracted from the printed page; notation may be imperfect.