Question : If a perfect square, not divisible by 6, is divided by 6, the remainder will be:
Option 1: 1, 3 or 5
Option 2: 1, 2 or 5
Option 3: 1, 3 or 4
Option 4: 1, 2 or 4
Correct Answer: 1, 3 or 4
Solution :
Given:
Perfect square numbers not divisible by 6 are 9, 16, 25, 49, 64, 81.....
$⇒ \frac{9}{6}$ ⇒ Remainder = 3
$⇒ \frac{16}{6}$ ⇒ Remainder = 4
$⇒ \frac{25}{6}$ ⇒ Remainder = 1
$⇒ \frac{49}{6}$ ⇒ Remainder = 1
$⇒ \frac{64}{6}$ ⇒ Remainder = 4
$⇒\frac{81}{6}$ ⇒ Remainder = 3
So, we can see the remainders are always 1, 3, or 4.
Hence, the correct answer is (1, 3, or 4).
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