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
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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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Question : When a number is divided by 45, the remainder is 21. What will be the remainder when the number is divided by 15?
Question : A number when divided by 7 leaves a remainder of 4. If the square of the same number is divided by 7, then what is the remainder?
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