Divisibility

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Junior | Next Rank: 30 Posts
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Joined: 22 Jun 2020

Divisibility

by himadeepm » Sun Jul 05, 2020 9:12 am
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

Junior | Next Rank: 30 Posts
Posts: 13
Joined: 28 Jul 2020

Re: Divisibility

by terminator12 » Tue Jul 28, 2020 9:50 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

Junior | Next Rank: 30 Posts
Posts: 13
Joined: 01 Aug 2020

Re: Divisibility

by Ignite » Sat Aug 01, 2020 11:30 pm
Let's consider 1000000

We can find out that 1000000 = 43 * 23255 + 35

43 * 23255 = 999965
999965 + 43 = 1000008

Thus, B


Thanks,
Ignite