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Find the least number which must be subtracted from 103876 to make the obtained number divisible by 16.
- a)5
- b)4
- c)3
- d)7
- e)9
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Find the least number which must be subtracted from 103876 to make the...
103876/16 gives remainder 4, so 4 should be subtracted
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Find the least number which must be subtracted from 103876 to make the...
Finding the Number to be Subtracted to Make a Number Divisible by 16
Given number = 103876
Divisibility rule of 16 states that a number is divisible by 16 if the last four digits of the number are divisible by 16.
Steps to solve the problem:
1. Find the remainder when the number is divided by 16.
2. Subtract the remainder from 16.
3. The obtained number is the least number which must be subtracted from the given number to make it divisible by 16.
Let's apply these steps to the given problem.
Step 1: Find the remainder when the number is divided by 16.
To find the remainder, we need to divide the given number by 16.
103876 ÷ 16 = 6492 with remainder 4
Therefore, the remainder when 103876 is divided by 16 is 4.
Step 2: Subtract the remainder from 16.
16 - 4 = 12
Step 3: The obtained number is the least number which must be subtracted from the given number to make it divisible by 16.
Therefore, the least number which must be subtracted from 103876 to make it divisible by 16 is 12.
Conclusion
The correct option is (b) 4.
Given number = 103876
Divisibility rule of 16 states that a number is divisible by 16 if the last four digits of the number are divisible by 16.
Steps to solve the problem:
1. Find the remainder when the number is divided by 16.
2. Subtract the remainder from 16.
3. The obtained number is the least number which must be subtracted from the given number to make it divisible by 16.
Let's apply these steps to the given problem.
Step 1: Find the remainder when the number is divided by 16.
To find the remainder, we need to divide the given number by 16.
103876 ÷ 16 = 6492 with remainder 4
Therefore, the remainder when 103876 is divided by 16 is 4.
Step 2: Subtract the remainder from 16.
16 - 4 = 12
Step 3: The obtained number is the least number which must be subtracted from the given number to make it divisible by 16.
Therefore, the least number which must be subtracted from 103876 to make it divisible by 16 is 12.
Conclusion
The correct option is (b) 4.
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Community Answer
Find the least number which must be subtracted from 103876 to make the...
- Divide 103876 by 16.
- The quotient is 6492 with a remainder of 4.
- To make 103876 divisible by 16, subtract the remainder.
- Therefore, subtract 4 from 103876.
- The resulting number, 103872, is divisible by 16.
Answer: b) 4
- The quotient is 6492 with a remainder of 4.
- To make 103876 divisible by 16, subtract the remainder.
- Therefore, subtract 4 from 103876.
- The resulting number, 103872, is divisible by 16.
Answer: b) 4
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Find the least number which must be subtracted from 103876 to make the obtained number divisible by 16.a)5b)4c)3d)7e)9Correct answer is option 'B'. Can you explain this answer?
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