Which 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?
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Math Expert Joined: 02 Sep 2009 Posts: 86739
What least number must be subtracted from 1294 so that the remainder [#permalink]
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Hide Show timer StatisticsWhat 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 _________________ Manager Joined: 20 Dec 2019 Posts: 58 Re: What least number must be subtracted from 1294 so
that the remainder [#permalink]
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 Posted from my mobile device Re: What least number must be subtracted from 1294 so that the remainder [#permalink] 09 May 2022, 06:33 Moderators: Senior Moderator - Masters Forum 3086 posts 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?Correct Option: B
On dividing 1294 by 1287, the remainder is 7 . ∴ 1 must be subtracted from 1294, so that 1293 when divided by 9, 11, 13 leaves in each case the same remainder 6 .
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What least number must be subtracted from 13601 so that the remainder is divisible by 87?So we do, ⇒ 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.
What least number must be subtracted from 1672 to obtain?What least number must be subtracted from 1672 to obtain a number which is completely divisible by 17 ? 6 Number to be subtracted = 6.
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