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When a certain number X is divided by 143, the remainder is 45. Which
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19 Apr 2016, 03:12
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Re: When a certain number X is divided by 143, the remainder is 45. Which
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19 Apr 2016, 04:55
Bunuel wrote: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 13?
A. 7 B. 21 C. 34 D. 47 E. 55 ... hi, firstly you can eliminate B, C and D straightway.. all have a difference of 13, so either all 3 can divide or none can.. since we cannot have three answers, all three can be eliminated... Now X= 143q + 45 = 11*13*q + 45..so we have to make only 45 div by 13..A.7 45 + 7 = 42 YES E. 5545 + 55 = 100 No ans A
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When a certain number X is divided by 143, the remainder is 45. Which
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19 Apr 2016, 10:23
Bunuel wrote: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 13?
A. 7 B. 21 C. 34 D. 47 E. 55 Posting a different approach
Least possible value of x is 188 188/13 = 182 and remainder 6 Thus we need 7 more to make the number divisible by 13 Hence answer will be 7 !!
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Re: When a certain number X is divided by 143, the remainder is 45. Which
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19 Apr 2016, 15:33
So the number given is N = 143Q + 45
If this number is divided by 13, the remainder would be R[(143Q + 45)/13]
Since 143 is divisible by 13 , the product 143Q gives no remainder This means the remainder of 45/13 should be the remainder of the entire number N which is 6
To make it divisible by 13 , the smallest number that can be added = 13  6 = 7
Correct Option : A



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Re: When a certain number X is divided by 143, the remainder is 45. Which
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Re: When a certain number X is divided by 143, the remainder is 45. Which
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22 Apr 2016, 11:43
since 143 is divisible by 13, x divided by 13 yields a remainder of 45/13 ==> 6 7 should be added to yield 13. Answer A
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Re: When a certain number X is divided by 143, the remainder is 45. Which
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04 May 2016, 19:31
the equation becomes X=143q+45, take the smallest values for q, i.e 0. So now we have 45, nearest multiple is 52(ques. says add), hence the next multiple. 5245=7.



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Re: When a certain number X is divided by 143, the remainder is 45. Which
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05 May 2016, 05:53
X = 143 x k + 45
143 = 11 x 13
the least integer after 45 to be divisible by 13 is 52 (13 x 4 ) = 45 + 7



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When a certain number X is divided by 143, the reminder is 45
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Updated on: 03 Oct 2017, 17:58
Mo2men wrote: When a certain number X is divided by 143, the reminder is 45. Which of the following numbers, if added to X, would result in a number divisible by 13?
1) 7
2) 21
3) 34
4) 47
5) 55 If X = 143a + 45, and a = 1, then X = (143(1) + 45) = 188 What number could be added to 188 to make it evenly divisible by 13? Obviously, we need a multiple of 13. (13*13) = 169 > +13 is (13*14) = 182 > +13 is (13*15) = 195. Bingo X = 188. Adding 7 to 188 equals 195, which is divisible by 13. That is, 188 + 7 = 195 Answer A
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Originally posted by generis on 03 Oct 2017, 17:44.
Last edited by generis on 03 Oct 2017, 17:58, edited 1 time in total.



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Re: When a certain number X is divided by 143, the reminder is 45
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03 Oct 2017, 17:50
genxer123 wrote: If \(\frac{X}{143}\) = a + 45, and a = 1, then
X = ((1)143 + 45) = 188
What number could be added to 188 to make it evenly divisible by 13? Obviously, we need a multiple of 13.
(13*13) = 169 > +13 is (13*14) = 182 > +13 is (13*15) = 195. Bingo
X = 188. Adding 7 to 188 equals 195, which is divisible by 13.
That is, 188 + 7 = 195
Answer A I think you mean either \(\frac{X}{143}\) = a +\(\frac{45}{143}\) or \(X = 143 a + 45\)



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When a certain number X is divided by 143, the reminder is 45
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03 Oct 2017, 17:56
Mo2men wrote: I think you mean either \(\frac{X}{143}\) = a +\(\frac{45}{143}\) or \(X = 143 a + 45\)
Both of your suggestions are more clear than what I have, and certainly more aligned with the division theorem as it is typically written. I'll edit. Thanks!
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Re: When a certain number X is divided by 143, the remainder is 45. Which
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03 Oct 2017, 21:18
Bunuel wrote: When a certain number X is divided by 143, the remainder is 45. Which of the following numbers, if added to X, would result in a number divisible by 13?
A. 7 B. 21 C. 34 D. 47 E. 55 x=143+45 143 is a multiple of 13 the next multiple of 13 above 45 is 52 5245=7 A




Re: When a certain number X is divided by 143, the remainder is 45. Which &nbs
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