Sep 22 08:00 PM PDT  09:00 PM PDT Exclusive offer! Get 400+ Practice Questions, 25 Video lessons and 6+ Webinars for FREE Sep 23 08:00 AM PDT  09:00 AM PDT Join a free 1hour webinar and learn how to create the ultimate study plan, and be accepted to the upcoming Round 2 deadlines. Save your spot today! Monday, September 23rd at 8 AM PST Sep 28 07:00 AM PDT  09:00 AM PDT Attend this webinar to learn two proprietary ways to PreThink assumptions and ace GMAT CR in 10 days.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 07 Jun 2017
Posts: 163
Location: India
Concentration: Technology, General Management
GPA: 3.6
WE: Information Technology (Computer Software)

a, b, c, d are positive integers. When a is divided by b, the remainde
[#permalink]
Show Tags
16 Oct 2017, 03:33
Question Stats:
53% (02:24) correct 47% (02:01) wrong based on 107 sessions
HideShow timer Statistics
a, b, c, d are positive integers. When a is divided by b, the remainder is 7. When c is divided by d, the remainder is 5. Which of the following cannot be the value of the product b x d? A. 48 B. 56 C. 63 D. 69 E. 140
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Regards, Naveen email: nkmungila@gmail.com Please press kudos if you like this post



Math Expert
Joined: 02 Aug 2009
Posts: 7839

Re: a, b, c, d are positive integers. When a is divided by b, the remainde
[#permalink]
Show Tags
16 Oct 2017, 04:06
nkmungila wrote: a, b, c, d are positive integers. When a is divided by b, the remainder is 7. When c is divided by d, the remainder is 5. Which of the following cannot be the value of the product b x d?
A. 48 B. 56 C. 63 D. 69 E. 140 Hi.... Remainders should tell us that b>7 and d>5... So what can we say about the products.. 1) minimum value 8*6=48 2) atleast two factors above 5, one out of which above 7.. Let's see the choices A) 486*8... Ok B) 56  7*8...ok C) 63  7*9... Ok D) 69  3*23... No other possibilities.. Answer E) 140  7*20... Ok D
_________________



Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 7771
Location: United States (CA)

Re: a, b, c, d are positive integers. When a is divided by b, the remainde
[#permalink]
Show Tags
17 Oct 2017, 11:48
nkmungila wrote: a, b, c, d are positive integers. When a is divided by b, the remainder is 7. When c is divided by d, the remainder is 5. Which of the following cannot be the value of the product b x d?
A. 48 B. 56 C. 63 D. 69 E. 140 Recall that the remainder must be less than the divisor; thus, b must be greater than 7 since “when a is divided by b, the remainder is 7.” Similarly, d must be greater than 5 since “when c is divided by d, the remainder is 5.” Since b and d are positive integers, b ≥ 8 and d ≥ 6. Next we can factor each answer choice. If the number can be factored into two numbers such that one of them is at least 8 and the other is at least 6, then it can be a value of b x d. However, if the number can’t be factored in the way described above, then it CANNOT be a value of b x d and that is the number we are looking for. A. 48 = 8 x 6 (Yes) B. 56 = 8 x 7 (Yes) C. 63 = 9 x 7 (Yes) D. 69 = 1 x 69 = 3 x 23 (No) E. 140 = 20 x 7 (Yes) Since 69 can only be factored as 1 x 69 or 2 x 23, we don’t have one factor ≥ 8 and the other ≥ 6, so 69 can’t be a value of b x d. Answer: D
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



Math Expert
Joined: 02 Aug 2009
Posts: 7839

Re: a, b, c, d are positive integers. When a is divided by b, the remainde
[#permalink]
Show Tags
12 Nov 2017, 17:30
pushpitkc wrote: a,b,c,d are positive integers. When a is divided by b, the remainder is 7. When c is divded by d, the remainder is 5. Which of the following cannot be the value of the product b * d? A. 48 B. 56 C. 63 D. 69 E. 140 Source: Experts GlobalHi.. The Q is to do more with factors than anything else.. What message can you take from remainders b>7 and d>5 Let's see if the choices can be converted to factors that fit in 48=8*6...yes 56=8*7...yes 63=9*7...yes 69=23*3 or 1*69....NO 140=14*10...yes Ans D..69
_________________



SVP
Joined: 03 Jun 2019
Posts: 1540
Location: India

Re: a, b, c, d are positive integers. When a is divided by b, the remainde
[#permalink]
Show Tags
25 Aug 2019, 09:36
nkmungila wrote: a, b, c, d are positive integers. When a is divided by b, the remainder is 7. When c is divided by d, the remainder is 5. Which of the following cannot be the value of the product b x d?
A. 48 B. 56 C. 63 D. 69 E. 140 Given: 1. a, b, c, d are positive integers. 2. When a is divided by b, the remainder is 7. 3. When c is divided by d, the remainder is 5. Asked: Which of the following cannot be the value of the product b x d? a = 7 mod b => b>7 => b>=8 c = 5 mod d => d>5 => d>=6 39 = 13*3 But none of b or d may be = 3 IMO D
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts." Please provide kudos if you like my post. Kudos encourage active discussions. My GMAT Resources:  Efficient LearningAll you need to know about GMAT quantTele: +911140396815 Mobile : +919910661622 Email : kinshook.chaturvedi@gmail.com



GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4790
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

Re: a, b, c, d are positive integers. When a is divided by b, the remainde
[#permalink]
Show Tags
25 Aug 2019, 11:27
nkmungila wrote: a, b, c, d are positive integers. When a is divided by b, the remainder is 7. When c is divided by d, the remainder is 5. Which of the following cannot be the value of the product b x d?
A. 48 B. 56 C. 63 D. 69 E. 140 a = 9 m b= 8 and c=11 d=6 so d>5 answer values 69 has factor 3*23 ; not sufficient IMO D
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.




Re: a, b, c, d are positive integers. When a is divided by b, the remainde
[#permalink]
25 Aug 2019, 11:27






