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What greatest number should be subtracted from 2546987 such that the difference becomes divisible by 3?
- a)2546986
- b)2546987
- c)2546985
- d)2546984
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
What greatest number should be subtracted from 2546987 such that the d...
If you find the difference between 2546987 and 2546984 it would be 3 which is directly divisible by 3.
This question is part of UPSC exam. View all Class 4 courses
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What greatest number should be subtracted from 2546987 such that the d...
Problem:
Find the greatest number that should be subtracted from 2546987 such that the difference becomes divisible by 3.
Solution:
To find the greatest number that can be subtracted from 2546987 to make the difference divisible by 3, we need to consider the divisibility rule of 3.
Divisibility Rule of 3:
A number is divisible by 3 if the sum of its digits is divisible by 3.
Step 1: Find the sum of the digits of the given number 2546987.
- Sum of digits = 2 + 5 + 4 + 6 + 9 + 8 + 7 = 41
Step 2: Determine the remainder when the sum of the digits is divided by 3.
- Remainder = 41 % 3 = 2
Step 3: Subtract the remainder from 3 to get the greatest number that can be subtracted.
- Greatest number = 3 - 2 = 1
Therefore, the greatest number that should be subtracted from 2546987 such that the difference becomes divisible by 3 is 1.
Answer:
The correct answer is option D) 2546984.
Find the greatest number that should be subtracted from 2546987 such that the difference becomes divisible by 3.
Solution:
To find the greatest number that can be subtracted from 2546987 to make the difference divisible by 3, we need to consider the divisibility rule of 3.
Divisibility Rule of 3:
A number is divisible by 3 if the sum of its digits is divisible by 3.
Step 1: Find the sum of the digits of the given number 2546987.
- Sum of digits = 2 + 5 + 4 + 6 + 9 + 8 + 7 = 41
Step 2: Determine the remainder when the sum of the digits is divided by 3.
- Remainder = 41 % 3 = 2
Step 3: Subtract the remainder from 3 to get the greatest number that can be subtracted.
- Greatest number = 3 - 2 = 1
Therefore, the greatest number that should be subtracted from 2546987 such that the difference becomes divisible by 3 is 1.
Answer:
The correct answer is option D) 2546984.
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What greatest number should be subtracted from 2546987 such that the difference becomes divisible by 3?a)2546986b)2546987c)2546985d)2546984Correct answer is option 'D'. Can you explain this answer?
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