What least number must be subtracted from 1294 so that the remainder when divided by 9?


What least number must be subtracted from 1294 so that the remainder when divided by 9?

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Joined: 02 Sep 2009

Posts: 87085

What least number must be subtracted from 1294 so that the remainder [#permalink]

What least number must be subtracted from 1294 so that the remainder when divided by 9?
  09 May 2022, 06:15

What least number must be subtracted from 1294 so that the remainder when divided by 9?

What least number must be subtracted from 1294 so that the remainder when divided by 9?

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Question Stats:

What least number must be subtracted from 1294 so that the remainder when divided by 9?
86% (02:13) correct
What least number must be subtracted from 1294 so that the remainder when divided by 9?
14% (01:41) wrong
What least number must be subtracted from 1294 so that the remainder when divided by 9?
based on 28 sessions

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What least number must be subtracted from 1294 so that the remainder when divided by 9, 11, 13 will leave in each case the same remainder 6?

(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

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Joined: 20 Dec 2019

Posts: 62

What least number must be subtracted from 1294 so that the remainder when divided by 9?

Re: What least number must be subtracted from 1294 so that the remainder [#permalink]

What least number must be subtracted from 1294 so that the remainder when divided by 9?
  09 May 2022, 06:33

Take the LCM of 9, 11 & 13 = 1287

1287 when divided will leave the remainder 0

Now add 6 = 1293

So 1293 is the desired number

Only 1 required to be subtracted

Ans is B

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Re: What least number must be subtracted from 1294 so that the remainder [#permalink]

09 May 2022, 06:33

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What least number must be subtracted from 1294 so that the remainder when divided 9/11/13 will leave in each case the same remainder?

The difference between 1294 and 1293 is 1 which is the least number must be subtracted from 1294 so that the remainder when divided by 9,11,13 will leave in each case the remainder 6.

What least number must be subtracted from 13601 so that the remainder is divisible by 87?

⇒ 13601 ÷ 87 will give you the quotient 156 and remainder 29. So, 29 is the least number subtracted from 13601 to get the number which is completely divisible by 87. So, the correct answer is “Option C”.

What least number must be subtracted from 319 so that the result leave the same remainder when divided by 5 7 9 in each case?

4 is the least number must be subtracted from 319 so that the result leave the same remainder when divided by 5, 7, 9 in each case.

What least number must be subtracted from 13801 to get a number exactly divisible by?

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