The remainder when 321 is divided by 5 is (SSC CGL 1st Sit. 2011)a)...
31 = 3; 32 = 9; 33 = 27; 35 = 81; 35 = 243
i.e. unit’s digit is repeated after index 4.
Remainder after dividing 21 by 4 = 1
∴ Unit’s digit in the expansion of (3)21 = 3
∴ Remainder after dividing by 5 = 3
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The remainder when 321 is divided by 5 is (SSC CGL 1st Sit. 2011)a)...
Understanding Remainders
When a number is divided by another, the remainder is what is left over after the division process. In this case, we will find the remainder when 321 is divided by 5.
Calculation Steps
1. Division Process:
- When we divide 321 by 5, we calculate how many times 5 fits into 321.
- The quotient can be found by performing the division:
\[
321 \div 5 = 64.2
\]
- Here, the integer part of the quotient is 64.
2. Multiplying Back:
- To find the exact multiple of 5 that is closest to 321, we multiply the quotient by 5:
\[
64 \times 5 = 320
\]
3. Finding the Remainder:
- Now, subtract this product from 321 to find the remainder:
\[
321 - 320 = 1
\]
4. Conclusion:
- Thus, the remainder when 321 is divided by 5 is 1.
Final Answer
The correct answer is option 'A', which states the remainder is 1. However, it seems there was a misunderstanding as the answer was stated to be 'C' (which is 3). The calculations show that the correct remainder is indeed 1.
If you have any more questions, feel free to ask!