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P, a positive integer, leaves remainder 83 when divided by 120. What
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24 Oct 2017, 23:06
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P, a positive integer, leaves remainder 83 when divided by 120. What is the remainder when 3P  300 is divided by 40? A. 3 B. 9 C. 11 D. 29 E. 31
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Re: P, a positive integer, leaves remainder 83 when divided by 120. What
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24 Oct 2017, 23:37
Take a value larger than 120 which will leave a remainder of 83 Eg. 120+83 = 203
3 x 203  300 = 309
Nearest multiple of 40 to 309 is 280 / Just find the remainder of 309 divided by 40
Hence the answer is 309  280 = 29



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Re: P, a positive integer, leaves remainder 83 when divided by 120. What
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25 Oct 2017, 02:02
Jagdeesh wrote: Take a value larger than 120 which will leave a remainder of 83 Eg. 120+83 = 203
3 x 203  300 = 309
Nearest multiple of 40 to 309 is 280 / Just find the remainder of 309 divided by 40
Hence the answer is 309  280 = 29 Hi, I don't understand, please explain!



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P, a positive integer, leaves remainder 83 when divided by 120. What
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25 Oct 2017, 02:32
Sprincejindal wrote: Jagdeesh wrote: Take a value larger than 120 which will leave a remainder of 83 Eg. 120+83 = 203
3 x 203  300 = 309
Nearest multiple of 40 to 309 is 280 / Just find the remainder of 309 divided by 40
Hence the answer is 309  280 = 29 Hi, I don't understand, please explain! From Stem, P = 120n+83 now, = 3(120n+83) 300 divided by 40 = 360n+249300 = 360n51 here 360n should be divided by 40 so 51 divided by 40 means 29 should be the reminder. Note: observe that the sign is 51(minus) remainder 11 is a trap answer.
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Re: P, a positive integer, leaves remainder 83 when divided by 120. What
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25 Oct 2017, 03:04
How 51 divided by 40 leaves a remainder of 29?
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Re: P, a positive integer, leaves remainder 83 when divided by 120. What
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25 Oct 2017, 03:19
tiger66 wrote: How 51 divided by 40 leaves a remainder of 29?
Sent from my iPhone using GMAT Club Forum 51, it should be 80  51, hope you get it.
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Re: P, a positive integer, leaves remainder 83 when divided by 120. What
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25 Oct 2017, 09:31
Sprincejindal wrote: Jagdeesh wrote: Take a value larger than 120 which will leave a remainder of 83 Eg. 120+83 = 203
3 x 203  300 = 309
Nearest multiple of 40 to 309 is 280 / Just find the remainder of 309 divided by 40
Hence the answer is 309  280 = 29 Hi, I don't understand, please explain! The idea is to find a number that satisfies the question stem. Hence choose a number 'p' that will satisfy the condition. p / 120 should leave a remainder of 83. Let's assume that the quotient is 1, p = 120*1 + 83 = 203. Now, plug in the remainder of the question: 3 * p  300 = 609  300 = 309. Divide 309 by 40 which will leave a remainder of 29. Hope this helps.



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Re: P, a positive integer, leaves remainder 83 when divided by 120. What
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29 Oct 2017, 07:24
nkmungila wrote: P, a positive integer, leaves remainder 83 when divided by 120. What is the remainder when 3P  300 is divided by 40?
A. 3 B. 9 C. 11 D. 29 E. 31 We can create the equation P = 120Q + 83 When Q = 1, P = 120 + 83 = 203. Thus, 3P  300 = 3(203)  300 = 309. 309/40 = 7 remainder 29 Answer: D
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Re: P, a positive integer, leaves remainder 83 when divided by 120. What
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29 Oct 2017, 07:34
nkmungila wrote: P, a positive integer, leaves remainder 83 when divided by 120. What is the remainder when 3P  300 is divided by 40?
A. 3 B. 9 C. 11 D. 29 E. 31 Hi.. 40 is a factor of 120 if P leaves a remainder 83 when div by 120, it will leave a remainder of 3 when div by 40....lets see 3P300.. 3P will leave a remainder of 3*3=9 and 300 will leave a remainder of 20 as 300 = 4*80 +20
.... Always remember there is NO negative remaindertotal remainder = 9+20=29
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Re: P, a positive integer, leaves remainder 83 when divided by 120. What
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01 Nov 2017, 06:31
nkmungila wrote: Sprincejindal wrote: Jagdeesh wrote: Take a value larger than 120 which will leave a remainder of 83 Eg. 120+83 = 203
3 x 203  300 = 309
Nearest multiple of 40 to 309 is 280 / Just find the remainder of 309 divided by 40
Hence the answer is 309  280 = 29 Hi, I don't understand, please explain! From Stem, P = 120n+83 now, = 3(120n+83) 300 divided by 40 = 360n+249300 = 360n51 here 360n should be divided by 40 so 51 divided by 40 means 29 should be the reminder. Note: observe that the sign is 51(minus) remainder 11 is a trap answer. We can can 83 as p. In that case the remainder is 9 Posted from my mobile device




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