Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10
[#permalink]
Show Tags
14 Mar 2017, 02:55
7
00:00
A
B
C
D
E
Difficulty:
65% (hard)
Question Stats:
65% (02:02) correct 35% (02:19) wrong based on 167 sessions
HideShow timer Statistics
If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10 ≥ b ≥ –1 , 4 ≥ g ≥ 1, then which of the following expresses the smallest possible value of ag/(bc)?
Re: If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10
[#permalink]
Show Tags
14 Mar 2017, 07:30
2
Bunuel wrote:
If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10 ≥ b ≥ –1 , 4 ≥ g ≥ 1, then which of the following expresses the smallest possible value of ag/(bc)?
A. –90 B. –20 C. –10 D. 1/90 E. 15/4
smallest value is when numerator is greater ag = 5*4 = 20 denominator is greatest negative value bc = -1*1 = -1
Re: If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10
[#permalink]
Show Tags
09 Jun 2017, 05:20
rohit8865 wrote:
Bunuel wrote:
If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10 ≥ b ≥ –1 , 4 ≥ g ≥ 1, then which of the following expresses the smallest possible value of ag/(bc)?
A. –90 B. –20 C. –10 D. 1/90 E. 15/4
smallest value is when numerator is greater ag = 5*4 = 20 denominator is greatest negative value bc = -1*1 = -1
= -20
Ans B
is there any easy trick to find the answer or do i have to manually calculate all the possibilities
Re: If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10
[#permalink]
Show Tags
09 Jun 2017, 07:42
Imo B This question is little tricky it wants us to make denominator largest and numerator smallest .But if we do so we would be wrong because it has negative numbers so we have to make denominator as 1 and numerator highest highest which being negative will give us least possible value
Re: If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10
[#permalink]
Show Tags
12 Jun 2017, 18:24
We are asked to find \(\frac{ag}{bc}\) So, first ordering the variables in that sequece
5 ≥ a ≥ –2 4 ≥ g ≥ 1
10 ≥ b ≥ –1 3 ≥ c ≥ – 9
Now working through answer choices. A = -90. Not possible, because maximum we can get for numerator a*g is 5*4=20. Eliminate A
B=-20. We just checked max for numerator a*g = 20. Now we have to see if we can get a -1 for denominator b*c. We can get bc=-1 if b=-1 and c=1. So -20 is possible.
Now the questions only asked for smallest possible value. except for -90, -20 is the smallest value amongst answer choices, so we can eliminate all other choices even without calculations.
Re: If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10
[#permalink]
Show Tags
13 Jun 2017, 12:08
1
Bunuel wrote:
If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10 ≥ b ≥ –1 , 4 ≥ g ≥ 1, then which of the following expresses the smallest possible value of ag/(bc)?
A. –90 B. –20 C. –10 D. 1/90 E. 15/4
Because we want the smallest possible value of ag/bc, we can first see that the value of the fraction will have to be negative. Thus, either the product ag will be negative, or bc will be negative. Additionally, we want the absolute value of the entire fraction to be as large as possible, but still in keeping with the given constraints.
Let’s start with the product ag:
We are given that 5 ≥ a ≥ –2 and 4 ≥ g ≥ 1
If we let a = 5 and g = 4, we have ag = 20.
Let’s now move to the denominator bc:
We are given that 3 ≥ c ≥ – 9 and 10 ≥ b ≥ –1
If we let c = 1 and b = -1, we have bc = -1.
Thus, the smallest value of ag/bc = 20/-1 = -20.
Answer: B
_________________
Jeffery Miller Head of GMAT Instruction
GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions
Re: If a, b, c and g are non-zero integers, 3 ≥ c ≥ – 9 , 5 ≥ a ≥ –2 , 10
[#permalink]
Show Tags
28 Jul 2018, 13:03
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
close
65% (02:02) correct 
