GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 18 Dec 2018, 13:28

Close

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

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Happy Christmas 20% Sale! Math Revolution All-In-One Products!

     December 20, 2018

     December 20, 2018

     10:00 PM PST

     11:00 PM PST

    This is the most inexpensive and attractive price in the market. Get the course now!
  • Key Strategies to Master GMAT SC

     December 22, 2018

     December 22, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

If the sequence S has 300 terms, what is the 293rd term of S

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51280
If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 20 Aug 2012, 02:23
14
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

87% (00:48) correct 13% (00:53) wrong based on 1638 sessions

HideShow timer Statistics

If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
(2) The first term of S is -22.

Practice Questions
Question: 24
Page: 276
Difficulty: 550

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51280
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 20 Aug 2012, 02:23
3
2
SOLUTION

If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. \(S_{293}=S_{298}+5*2=-616+10=-606\). Sufficient.

(2) The first term of S is -22. Clearly insufficient.

Answer: A.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

General Discussion
Intern
Intern
avatar
Joined: 21 Jun 2012
Posts: 2
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 21 Aug 2012, 08:51
1
Bunuel wrote:
RESERVED FOR A SOLUTION.

Answer is A.

i) T298= -616 and common difference=-2
from this we can calculate T293, hence sufficient.

ii) T1= -22, nothing else is provided or known, hence insufficient.

Hence A is the answer.

Thanks.
Manager
Manager
avatar
Joined: 30 Sep 2009
Posts: 88
GMAT ToolKit User
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 23 Aug 2012, 20:32
2
Statement 1 :

we know : Tn=a+(n-1)d where
Tn=value of the nth term
a=first term
n= nth term
d=difference of the each term...

From the first statement we have all the values of the above equation we can find out a. We do not need to calculate. After finding a we know we can find the value of 298th term.

so A is sufficeint....

2) Only the first term is given. we have two unknown values d and n .. so the statement is insufficient
Senior Manager
Senior Manager
User avatar
B
Joined: 11 May 2011
Posts: 325
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 23 Aug 2012, 23:09
Easy one ... Answer is A.
_________________

-----------------------------------------------------------------------------------------
What you do TODAY is important because you're exchanging a day of your life for it!
-----------------------------------------------------------------------------------------

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51280
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 24 Aug 2012, 06:11
SOLUTION

If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. \(S_{293}=S_{298}+5*2=-616+10=-606\). Sufficient.

(2) The first term of S is -22. Clearly insufficient.

Answer: A.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
Joined: 17 Jul 2010
Posts: 112
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 02 May 2013, 19:34
1) if the 298 term of S is -616, and each thereafter is 2 less than the preceding term, you know that term 297, or 298 can also be solved, that's sufficient enough to find the 293rd term.

2) the stem is tricky because the question wants you to carry over and second guess yourself, or make you choose C, so be careful,
for statement 2: you still need a base to start, such as statement 1), 298 term of s is -616, and 2) you're lacking the difference per term, such as statement 1), the difference is -2 per term. So lacking these two makes this statement NOT SUFF.

Common Sense, really. NO MATH!

Kudos is this helps ! :)
Intern
Intern
avatar
Joined: 21 Oct 2012
Posts: 34
Location: United States
Concentration: Marketing, Operations
GMAT 1: 650 Q44 V35
GMAT 2: 600 Q47 V26
GMAT 3: 660 Q43 V38
GPA: 3.6
WE: Information Technology (Computer Software)
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 05 Oct 2014, 10:14
Bunuel wrote:
SOLUTION

If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. \(S_{293}=S_{298}+5*2=-616+10=-606\). Sufficient.

(2) The first term of S is -22. Clearly insufficient.

Answer: A.


I think S(293) will be -608 and not -606

Heres my calculation

S(n)=a-2(n-1)

s(298)=a-2(297)

--> -616=a-594
--> a=-22

S(293) = -22 - 2(293)
= -22-586
= -608
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51280
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 05 Oct 2014, 10:23
1
havoc7860 wrote:
Bunuel wrote:
SOLUTION

If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. \(S_{293}=S_{298}+5*2=-616+10=-606\). Sufficient.

(2) The first term of S is -22. Clearly insufficient.

Answer: A.


I think S(293) will be -608 and not -606

Heres my calculation

S(n)=a-2(n-1)

s(298)=a-2(297)

--> -616=a-594
--> a=-22

S(293) = -22 - 2(293)
= -22-586
= -608


Have you tried easiest way?
The 298th term of S is -616
The 297th term of S is -614
The 296th term of S is -612
The 295th term of S is -610
The 294th term of S is -608
The 293rd term of S is -606
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 21 Oct 2012
Posts: 34
Location: United States
Concentration: Marketing, Operations
GMAT 1: 650 Q44 V35
GMAT 2: 600 Q47 V26
GMAT 3: 660 Q43 V38
GPA: 3.6
WE: Information Technology (Computer Software)
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 05 Oct 2014, 10:53
Bunuel wrote:
havoc7860 wrote:
Bunuel wrote:
SOLUTION

If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term. \(S_{293}=S_{298}+5*2=-616+10=-606\). Sufficient.

(2) The first term of S is -22. Clearly insufficient.

Answer: A.


I think S(293) will be -608 and not -606

Heres my calculation

S(n)=a-2(n-1)

s(298)=a-2(297)

--> -616=a-594
--> a=-22

S(293) = -22 - 2(293)
= -22-586
= -608


Have you tried easiest way?
The 298th term of S is -616
The 297th term of S is -614
The 296th term of S is -612
The 295th term of S is -610
The 294th term of S is -608
The 293rd term of S is -606


Your right, i was just trying to figure out another way to solve the problem just in case someone might benefit by looking at it in another way.

How stupid of me :)

made a mistake

S(293) = -22 - 2(293)
= -22-586
= -608

should be

S(293) = -22 -2(293-1)
= -22-584
=-606
Manager
Manager
User avatar
Joined: 20 Jan 2014
Posts: 143
Location: India
Concentration: Technology, Marketing
GMAT ToolKit User
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 05 Oct 2014, 22:17
If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
(2) The first term of S is -22.

Alternate method:
Sequence nth term formula for arithmetic progression is : [a+(n-1)d]

Where a= 1st term, n= no of the term we want to find and d= difference between 2 terms.

here we know that n=293
Now lets take the easy one first: option B : we are given that a= -22 : Clearly not sufficient, we need difference d.

Now Option A.
298th term is 616
so 616 = [a + (298-1)2] => we can find A from this and then can find 293rd term by [a+(293-1)2]
Hence A is sufficient.

If you want to understand this formula here is the link : http://www.veritasprep.com/blog/2012/03 ... gressions/
One more useful formula is also provided here
_________________

Consider +1 Kudos Please :)

Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2627
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 09 Mar 2016, 03:46
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4317
Location: United States (CA)
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 09 Aug 2016, 12:27
2
Quote:
If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
(2) The first term of S is -22.


We are given that sequence S has 300 terms, and we need to determine the 293rd term of S.

Statement One Alone:

The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.

Statement one defines the pattern of the sequence. We are given that each term of S after the first is 2 less than the preceding term. Thus, we know that we can determine the value of the 293rd term.

If we were forced to determine the 293rd term we could determine that value. We know that the 293rd term is 5 terms before the 298th term. Thus, the 298th term is 5(2) = 10 less than the 293rd term, or in other words, the 293rd term is 10 more than -616, the 298th term. So the 293rd term is -606.

Remember, because we are answering a data sufficiency question, we can stop as soon as we know we are able to determine the value of the 293rd term, and so we don't need to perform the math to calculate its actual value.

Statement one is sufficient. We can eliminate answer choices B, C, and E.

Statement Two Alone:

The first term of S is -22.

Since we do not have any information about the pattern defining the sequence, statement two is not sufficient to answer the question.

The answer is A.
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Intern
Intern
avatar
B
Joined: 01 Jan 2016
Posts: 21
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 23 Sep 2016, 21:03
Is it true that to find a specified value within in a set we need primarily two things: (1) a reference term (S_298 = -616) and (2) a general formula that specifies the number associated with the a specified element of the set?
Director
Director
User avatar
S
Status: Come! Fall in Love with Learning!
Joined: 05 Jan 2017
Posts: 516
Location: India
Premium Member
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 23 Feb 2017, 04:48
If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
(2) The first term of S is -22.

Prompt analysis
There is an arithmetic progression of 300 terms.

Superset
The answer will be real number.

Translation
We know that tn = a +(n-1)d. In order to know that t293, we need the value of a and d.

Statement analysis

St 1: t298 =-616 and d = -2. Therefore t298 =a +297d = a +292d +5d = t293 +5d
Therefore -616 =t293 -10. t293 =-606. ANSWER. Hence option b,c,e eliminated.
St 2: a =-22. Since we have no idea about any other information, it is INSUFFICIENT.

Option A
_________________

GMAT Mentors
Image

Manager
Manager
User avatar
S
Joined: 22 Nov 2016
Posts: 210
Location: United States
Concentration: Leadership, Strategy
GPA: 3.4
Reviews Badge
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 29 Jun 2017, 18:16
If we are given any one of the terms and the relationship between two terms, we can find any term in that sequence. The answer is A
_________________

Kudosity killed the cat but your kudos can save it.

CEO
CEO
User avatar
D
Joined: 11 Sep 2015
Posts: 3243
Location: Canada
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 27 Jul 2017, 12:45
Top Contributor
Bunuel wrote:
If the sequence S has 300 terms, what is the 293rd term of S?

(1) The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
(2) The first term of S is -22.

Practice Questions
Question: 24
Page: 276
Difficulty: 550


Target question: What is the 293rd term of S?

Statement 1: The 298th term of S is -616, and each term of S after the first is 2 less than the preceding term.
So, each term is 2 less than the previous term.
Since term_298 = -616, we can conclude that:
term_297 = -614
term_296 = -612
term_295 = -610
So, we COULD keep going to determine the value of term_293 (which happens to be -606)
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: The first term of S is -22.
Since this statement tells us nothing about the NATURE of the sequence, there's no way to determine the value of term_293
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer:

RELATED VIDEO

_________________

Test confidently with gmatprepnow.com
Image

Intern
Intern
User avatar
B
Status: Don't watch the clock,Do what it does, Keep Going.
Joined: 10 Jan 2017
Posts: 37
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 18 Sep 2017, 03:09
Tn= a + (n-1)d
1. a=-2 given t298=-616 put these values in the above mentioned equation a can be found. Sufficient
2. a=-22 not sufficient
A
Manager
Manager
User avatar
G
Joined: 10 Apr 2018
Posts: 179
Re: If the sequence S has 300 terms, what is the 293rd term of S  [#permalink]

Show Tags

New post 07 Aug 2018, 19:49
The other method to solve this question would be if we see how series is formed.
a2= a1-2
a3= a2-2= a1-4
a4=a3-2=a1-6
an=a1-2(n-1)

So we can calculate a1 and hence calculate the required value .
So Option A Sufficient

Knowing the first term will not help until we know how the series is formed. Hence Option B is insufficient.
GMAT Club Bot
Re: If the sequence S has 300 terms, what is the 293rd term of S &nbs [#permalink] 07 Aug 2018, 19:49
Display posts from previous: Sort by

If the sequence S has 300 terms, what is the 293rd term of S

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.