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Re: What is the remainder when positive integer t is divided by [#permalink]
13 Nov 2012, 12:10
Number picking: Stmt 1: 1,5,9,13,17,21 and R: 1,0,4,3,2,1 :- looks like a pattern might emerge here, but nothing else - Insufficient Stmt 2: 1,4,10,13,16 and R: 1,4,0,3,1 :- again a pattern might emerge, but nothing else - Insufficient. Both: 13,25 R: 3,0 :- Insufficient
Re: What is the remainder when positive integer t is divided by [#permalink]
13 Nov 2012, 12:29
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On the second thought, I think algebra will go like this:
1: The number would be 4K+1, so (4K + 1)/5 would be 4R*K + R (R means remainder) So if K is 1 then it will be 4R*1+R = 5R => R=0 if K is 2 then it will be 4R*2 + R = 9R => R = 4 ----- Insuficient
2: The number will be 3K + 1 so (3K + 1)/5 will be 3R*K + R So if K is 1 then it will be 3R*1 + R = 4R => R = 4 if K is 2 then it will be 3R*2 + R = 7R => R = 2 ---------- Insufficient
Both: The number will be 12K + 1 so (12K + 1)/5 will be 2R*K + R So if K is 1 then it will be 2R*1 + R = 3R => R = 3 if K is 2 then it will be 2R * 2 + R = 5R => R = 0 --------- Insufficient
Re: What is the remainder when positive integer t is divided by [#permalink]
19 Feb 2013, 00:53
Statement 1: t=4p+1 So the remainder could be 1,5,9,13,17,21,25.... Insufficient Statement 2: t=3q+1 The remainder could be 1,4,7,10,13,16,19... Insufficient
1 and 2: t=12N+1 We take LCM of 3 and 4 plus firs common remainder from the lists above. Now just put in numbers instead of N. t could be 1,13,25,37 and so on... We and conclude from this that we don't know what is the remainder of t and the answer is E. _________________
Re: What is the remainder when positive integer t is divided by [#permalink]
10 Aug 2013, 01:13
Although not a sound approach, here is one:
t=5A + r (What is r?)
(1).
t = 4b + 1 ..... 1 5 9 13 17 ( all give different remainders by 5) Insufficient
(2).
t = 3c + 1 ......1 4 7 10 13 16 ( all give different remainders by 5) Insufficient
Combining them series would be :
t = 12X + 13 ............ 13 , 25, .... (all give different remainders by 5) Insufficient
Hence , (E). _________________
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Re: What is the remainder when positive integer t is divided by [#permalink]
01 Oct 2013, 10:09
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Expert's post
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actleader wrote:
What is the remainder when positive integer t is divided by 5?
(1) When t is divided by 4, the remainder is 1
(2) When t is divided by 3, the remainder is 1
Somewhat different way.......
LCM MODEL 1 :- Any Number N which when divided by p, q, r leaving the same remainder s in each case. The Number will be of the form N = k(LCM of p, q, r) + s, where k is any non negative integer.
S1 : t = 4q + 1 --------> clearly insufficient
S2 : t = 3q + 1 --------> clearly insufficient
S1 + S2 : Applying above Model --------> t = k(LCM of 4 and 3) + 1 ---------> t = 12k + 1 ---------> t = 1, 13, 25, 37, 49 ..... Multiple Answers, Hence Insufficient
Re: What is the remainder when positive integer t is divided by [#permalink]
20 Jan 2015, 10:32
In S1 and S2 why you have considered Quotients as q only it can be other variables instead and if we solve S1-S2 then , q=0, this will give t=1 so, 1/4 ............. remainder 1 1/3.............. remainder 1 and, 1/5 ........... remainder 1
On the contrary I think equations would be t= 4p+1 and, t= 3q+1
Two equations three unknowns, hence no solution. E answer
Narenn wrote:
actleader wrote:
What is the remainder when positive integer t is divided by 5?
(1) When t is divided by 4, the remainder is 1
(2) When t is divided by 3, the remainder is 1
Somewhat different way.......
LCM MODEL 1 :- Any Number N which when divided by p, q, r leaving the same remainder s in each case. The Number will be of the form N = k(LCM of p, q, r) + s, where k is any non negative integer.
S1 : t = 4q + 1 --------> clearly insufficient
S2 : t = 3q + 1 --------> clearly insufficient
S1 + S2 : Applying above Model --------> t = k(LCM of 4 and 3) + 1 ---------> t = 12k + 1 ---------> t = 1, 13, 25, 37, 49 ..... Multiple Answers, Hence Insufficient
Choice E
Hope that helps!
_________________
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Re: What is the remainder when positive integer t is divided by
[#permalink]
20 Jan 2015, 10:32
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