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
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Divisibility
This topic has expert replies
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terminator12
- Junior | Next Rank: 30 Posts
- Posts: 13
- Joined: Tue Jul 28, 2020 9:01 pm
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
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NahidulRaffi
- Newbie | Next Rank: 10 Posts
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- Joined: Sat Apr 15, 2023 3:27 pm
Could anyone guide me to calculate this 1000000 = 43 * 23255 + 35 faster?
Thanks in advance.
Thanks in advance.
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GMATJourneyman
- Junior | Next Rank: 30 Posts
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- Joined: Wed May 24, 2023 7:40 am
Round 23255 up to 23300, then multiply by 43 for a pretty quick estimate.NahidulRaffi wrote: ↑Sat Apr 15, 2023 3:33 pmCould anyone guide me to calculate this 1000000 = 43 * 23255 + 35 faster?
Thanks in advance.
Just add 35 after that.
