When a number is divided by 136, the remainder is 36. If the same number is divided by 17, what will be the remainder?
When a number is divided by 136, the remainder is 36. If the same number is divided by 17, what will be the remainder?
किसी संख्या को 136 से भाग देने पर 36 शेष बचता है। यदि उसी संख्या को 17 से भाग दिया जाए, तो शेषफल क्या होगा?
Detailed Solution & Logic
Correct Answer:
2
Let the number be $N$
Given:
$N = 136k + 36$
Now divide by 17. Since $136 = 17 \times 8$, it is divisible by 17.
So,
$N \equiv 36 \pmod{17}$
Now,
$36 = 17 \times 2 + 2$
So remainder = 2
Final Answer: 2
Correct option: 2
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