Events & Promotions
|
|
GMAT Club Daily Prep
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2308:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Apr 2301:30 AM EDT
-02:30 AM EDT
Struggling with GMAT Verbal as a non-native speaker? Harsh improved his score from 595 to 695 in just 45 days—and scored a 99 %ile in Verbal (V88)! Learn how smart strategy, clarity, and guided prep helped him gain 100 points.
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
28 Feb 2014, 04:14
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
46% (01:53) correct
54%
(01:47)
wrong
based on 290
sessions
History
Date
Time
Result
Not Attempted Yet
Is the product of three consecutive integers negative?
(1) The sum of the integers is equal to the product of the integers.
(2) At least one of the integers is negative.
(1) The sum of the integers is equal to the product of the integers.
(2) At least one of the integers is negative.
Experience GMAT Club Test Questions
Yes, you've landed on a GMAT Club Tests question
Craving more? Unlock our full suite of GMAT Club Tests here
Want to experience more? Get a taste of our tests with our free trial today
Rise to the challenge with GMAT Club Tests. Happy practicing!
28 Feb 2014, 04:14
Kudos
Bookmarks
Official Solution:
Is the product of three consecutive integers negative?
(1) The sum of the integers is equal to the product of the integers.
Let the three consecutive integers be \((x-1)\), \(x\), and \((x+1)\). Hence, the above statement implies that \((x-1)+x+(x+1) = (x-1)x(x+1)\):
\(3x=x(x^2-1)\)
\(x(x^2-4)=0\)
Thus, \(x=-2\), \(x=0\), or \(x=2\).
The possible sets are: {-3, -2, -1}, {-1, 0, 1}, or {1, 2, 3}. Not sufficient.
(2) At least one of the integers is negative.
Considering this, we can have three scenarios:
(i) All three integers are negative. In this case, their product is negative.
(ii) Two of the integers are negative: {-2, -1, 0}. In this case the product will be zero.
(iii) Only one of the integers is negative: {-1, 0, 1}. In this case the product will be zero.
Not sufficient.
(1)+(2) We still can have 2 sets: {-3, -2, -1} and {-1, 0, 1}. So, the product can be negative as well as zero. Not sufficient.
Answer: E.
Is the product of three consecutive integers negative?
(1) The sum of the integers is equal to the product of the integers.
Let the three consecutive integers be \((x-1)\), \(x\), and \((x+1)\). Hence, the above statement implies that \((x-1)+x+(x+1) = (x-1)x(x+1)\):
\(3x=x(x^2-1)\)
\(x(x^2-4)=0\)
Thus, \(x=-2\), \(x=0\), or \(x=2\).
The possible sets are: {-3, -2, -1}, {-1, 0, 1}, or {1, 2, 3}. Not sufficient.
(2) At least one of the integers is negative.
Considering this, we can have three scenarios:
(i) All three integers are negative. In this case, their product is negative.
(ii) Two of the integers are negative: {-2, -1, 0}. In this case the product will be zero.
(iii) Only one of the integers is negative: {-1, 0, 1}. In this case the product will be zero.
Not sufficient.
(1)+(2) We still can have 2 sets: {-3, -2, -1} and {-1, 0, 1}. So, the product can be negative as well as zero. Not sufficient.
Answer: E.
General Discussion
28 Feb 2014, 06:38
Kudos
Bookmarks
Consider consecutive integers as
a-1, a, a+1
1. According to statement 1 ,
Sum = product
so 3a= a ( a^2 -1) solving we get a=0, a=-2 , +2
three values of a so ,
integers are -1, 0, 1 -3,-2,-1, and 1, 2 , 3
as we cannot answer the target question with certainty ..Statement is insufficient
2. Second statement : clearly insufficient , as when 1 is negative = product is -ve
2 are -ve = product is +ve
So 2nd statement is also insufficient
Combining both we get consecutive integers as : -1, 0 , 1 ===product is zero
-3, -2, -1 ===product is -ve
E is the answer
a-1, a, a+1
1. According to statement 1 ,
Sum = product
so 3a= a ( a^2 -1) solving we get a=0, a=-2 , +2
three values of a so ,
integers are -1, 0, 1 -3,-2,-1, and 1, 2 , 3
as we cannot answer the target question with certainty ..Statement is insufficient
2. Second statement : clearly insufficient , as when 1 is negative = product is -ve
2 are -ve = product is +ve
So 2nd statement is also insufficient
Combining both we get consecutive integers as : -1, 0 , 1 ===product is zero
-3, -2, -1 ===product is -ve
E is the answer
