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If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
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06 Jan 2015, 08:04
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Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
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06 Jan 2015, 09:27
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Bunuel wrote: Tough and Tricky questions: Number Properties. If (z + 3)/5 is an integer, what is remainder when z is divided by 5? A. 2 B. 3 C. 4 D. 5 E. 6 Kudos for a correct solution.Assume the answer choices as the value of z A) 2; (2+3)/5 = 1 satisfies the equation B) 3; (3+3)/5 = 1.2 Not an integer C) 4; (4+3)/5 = 1.4 Not an integer D) 5; (5+3)/5 = 1.6 Not an integer E) 6; (6+3)/5 = 1.8 Not an integer Ans A
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Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
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06 Jan 2015, 22:57
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Answer = A. 2 Let z = 2, gives \(\frac{2+3}{5} =\)integer For \(\frac{2}{5}\), remainder = 2
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Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
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07 Jan 2015, 05:45
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(z+3)/5 is an integer, which means that remainder must be a multiple of 5. Eq can be written as z/5 + 3/5, 3/5 gives a remainder of 3, which means that z must be 5n+2, where n is an integer. Answer is A.



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Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
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08 Jan 2015, 08:31
From the question we can see that if (z+3)/5 is an integer it means that z+3 should be a multiple of 5. Hence z=2 or z=7 or z=12 and so on. Hence if,for example, z=7 then (7/5) leaves a remainder of 2. If z=12 then (12/5) leaves a remainder of 2 again. Hence answer A.
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Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
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08 Jan 2015, 08:38
Bunuel wrote: Tough and Tricky questions: Number Properties. If (z + 3)/5 is an integer, what is remainder when z is divided by 5? A. 2 B. 3 C. 4 D. 5 E. 6 Kudos for a correct solution.(z+3)/5 = I z+3=5I adding two on both sides we have z+3+2 = 5I+2 z+5=5I+2 z=5I5+2 =5(I1)+2 thus z when divided by 5 will always gives a remainder of 2.



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Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
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24 Oct 2015, 07:32
Bunuel wrote: Tough and Tricky questions: Number Properties. If (z + 3)/5 is an integer, what is remainder when z is divided by 5? A. 2 B. 3 C. 4 D. 5 E. 6 Kudos for a correct solution.(z + 3)/5 is an Integer. Lets say K+1 (z + 3)/5 = k+1 z+3 = 5k+5 z=5k+53 z=5k+2 So when z is divided by 5 reminder is 2.



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Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
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13 Nov 2015, 06:51
Z is an integer that needs 3 to be divisible by 5 in that case, whatever number Z is, the remainder will always be 2.



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If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
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13 Nov 2015, 11:14
Bunuel wrote: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? Since (z + 3)/5 is an integer , \(\frac{(z + 3)}{5}\) is an integer must be divisible by 5 The least possible value of z must be 2 \(\frac{2}{5}\)  reminder is 2 ( Answer choice A) Hence the correct answer is A
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Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
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14 Nov 2015, 01:20
Bunuel wrote: Tough and Tricky questions: Number Properties. If (z + 3)/5 is an integer, what is remainder when z is divided by 5? A. 2 B. 3 C. 4 D. 5 E. 6 Kudos for a correct solution.Solution: The question states that z+3/5 is an integer, therefore we know that z+3 is a multiple of 5. Now to solve this question we can plug in a value for z+3 to arrive at the solution. Lets assume z+3 to be any multiple of 5. Let say z+3 = 15, then z = 12. The question asks what is the remainder when z is divided by 5. When 12/5 we know the remainder is 2. If we plug in any other multiples of 5 for z+3, then too we will get a remainder of 2 when z is divided by 5. Therefore our answer is A. 



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Re: If (z + 3)/5 is an integer, what is remainder when z is divided by 5? [#permalink]
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20 Mar 2018, 15:59
Bunuel wrote: Tough and Tricky questions: Number Properties. If (z + 3)/5 is an integer, what is remainder when z is divided by 5? A. 2 B. 3 C. 4 D. 5 E. 6 Kudos for a correct solution.(z + 3)/5 = Integer......Then z could be 2,7,12,17...etc In the above.........z /5 .......reminder is 2 Answer: A




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