Which among the following is the smallest 7 digit number that is exactly divisible by 43?
A. 1,000,043
B. 1,000,008
C. 1,000,006
D. 1,000,002
E. 1,000,001
Divisibility
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terminator12
- Junior | Next Rank: 30 Posts
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The way to solve these kinds of questions is:
Divide 1,000,000 by 43 and find the remainder.
Then subtract the remainder from 43, and add the result to 1,000,000
1,000,000 = 43 x 23,255 + 35
43 - 35 = 8
Adding 8 to 1,000,000 gives 1,000,008
Hence, answer is B
You may also notice that:
1,000,008 = 43 x 23,256
Divide 1,000,000 by 43 and find the remainder.
Then subtract the remainder from 43, and add the result to 1,000,000
1,000,000 = 43 x 23,255 + 35
43 - 35 = 8
Adding 8 to 1,000,000 gives 1,000,008
Hence, answer is B
You may also notice that:
1,000,008 = 43 x 23,256
