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What will be the remainder when 3136 is divided by 12 ?
- a)0
- b)3
- c)9
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What will be the remainder when 3136 is divided by 12 ?a)0b)3c)9d)None...
When 31,32, 33 and 34 divided by 12 leaves remainder 3, 9, 3 and 9 respectively.
As the pattern repeats itself after 2 steps, 3 odd number leaves remainder 3 and 3even number leaves remainder 9.
As the pattern repeats itself after 2 steps, 3 odd number leaves remainder 3 and 3even number leaves remainder 9.
∴ R em ainder of 3136 when divided by 12 = 9
Hence, option 3.
Most Upvoted Answer
What will be the remainder when 3136 is divided by 12 ?a)0b)3c)9d)None...
Solution:
To find the remainder when 3136 is divided by 12, we can use the following steps:
Step 1: Divide 3136 by 12 using long division method.
```
____
12 | 3136
24
---
176
168
---
8
```
Step 2: The quotient is 261 and the remainder is 8.
Step 3: Since the remainder is not one of the options, we need to reduce it to one of the options by subtracting 12 from it until we get a number that is less than 12.
```
8 - 12 = -4
-4 + 12 = 8
```
Step 4: The remainder when 3136 is divided by 12 is 8, which is equivalent to the option (C).
Therefore, the correct answer is option (C).
To find the remainder when 3136 is divided by 12, we can use the following steps:
Step 1: Divide 3136 by 12 using long division method.
```
____
12 | 3136
24
---
176
168
---
8
```
Step 2: The quotient is 261 and the remainder is 8.
Step 3: Since the remainder is not one of the options, we need to reduce it to one of the options by subtracting 12 from it until we get a number that is less than 12.
```
8 - 12 = -4
-4 + 12 = 8
```
Step 4: The remainder when 3136 is divided by 12 is 8, which is equivalent to the option (C).
Therefore, the correct answer is option (C).
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Community Answer
What will be the remainder when 3136 is divided by 12 ?a)0b)3c)9d)None...
I am unable to attach the picture of arriving at the answer. I will try to explain it in words.
On analysing we find that we get a remainder of 3 when dividing the 3 ^ odd numbers with 12 ie; 3^1 = 3/12, remainder is 3. 3^3 = 27/12, remainder is 3 etc. And, when dividing the 3 ^ even numbers with 12 ie; 3^2 = 9/12, remainder is 9. 3^4 = 81/12, remainder is 9 etc. Here, 136 is an even number. Hence, 3^136 will definitely give a remainder of 9. So, option c) is the answer.
On analysing we find that we get a remainder of 3 when dividing the 3 ^ odd numbers with 12 ie; 3^1 = 3/12, remainder is 3. 3^3 = 27/12, remainder is 3 etc. And, when dividing the 3 ^ even numbers with 12 ie; 3^2 = 9/12, remainder is 9. 3^4 = 81/12, remainder is 9 etc. Here, 136 is an even number. Hence, 3^136 will definitely give a remainder of 9. So, option c) is the answer.
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What will be the remainder when 3136 is divided by 12 ?a)0b)3c)9d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about What will be the remainder when 3136 is divided by 12 ?a)0b)3c)9d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What will be the remainder when 3136 is divided by 12 ?a)0b)3c)9d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
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