Last visit was: 24 Apr 2024, 01:15 It is currently 24 Apr 2024, 01:15

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

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.

# What is the value of t?

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 92892
Own Kudos [?]: 618668 [23]
Given Kudos: 81578
Tutor
Joined: 17 Jul 2019
Posts: 1304
Own Kudos [?]: 2285 [1]
Given Kudos: 66
GMAT 1: 780 Q51 V45
GMAT 2: 780 Q50 V47
GMAT 3: 770 Q50 V45
General Discussion
Senior Manager
Joined: 11 May 2014
Status:I don't stop when I'm Tired,I stop when I'm done
Posts: 474
Own Kudos [?]: 38816 [1]
Given Kudos: 220
GPA: 2.81
Intern
Joined: 30 Jun 2014
Posts: 28
Own Kudos [?]: 20 [0]
Given Kudos: 76
GPA: 3.6
WE:Operations (Energy and Utilities)
Re: What is the value of t? [#permalink]
from 1) value of t=6 so sufficient
from 2) t^3=216 so t=6

both statements are independently sufficient to answer.
Intern
Joined: 27 Jan 2017
Posts: 42
Own Kudos [?]: 15 [0]
Given Kudos: 31
GMAT 1: 570 Q44 V24
GMAT 2: 550 Q36 V29
GMAT 3: 560 Q36 V31
GMAT 4: 640 Q41 V37
GMAT 5: 690 Q48 V36
What is the value of t? [#permalink]
OG 2017 - Book Question 252:

What is the value of t?

(1) s + t = 6 + s
(2) t^3 = 216

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.

So I picked A here instead of D because:

(1) Shows T = 6 + s - s = 6
(2) -6^3 = 216 and 6^3 = 216

The explanation for D was given as take the cube root such that you get t = 6

Am I mistaken because the question says t^3 and not (t)^3?

I just don't want to make a stupid mistake on the exam for something as easy as this.

Appreciate any insight
Intern
Joined: 27 Nov 2016
Posts: 40
Own Kudos [?]: 105 [1]
Given Kudos: 3
Location: India
GPA: 2.71
WE:Consulting (Consulting)
Re: What is the value of t? [#permalink]
1
Kudos
Navski wrote:
OG 2017 - Book Question 252:

What is the value of t?

(1) s + t = 6 + s
(2) t^3 = 216

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.

So I picked A here instead of D because:

(1) Shows T = 6 + s - s = 6
(2) -6^3 = 216 and 6^3 = 216

The explanation for D was given as take the cube root such that you get t = 6

Am I mistaken because the question says t^3 and not (t)^3?

I just don't want to make a stupid mistake on the exam for something as easy as this.

Appreciate any insight

You missed a small part.

-6 ^ 3 will not be 216 infact it will be -216. ( -6 * -6 * -6 ).
So only possible value is 6 ^ 3.
Intern
Joined: 27 Jan 2017
Posts: 42
Own Kudos [?]: 15 [0]
Given Kudos: 31
GMAT 1: 570 Q44 V24
GMAT 2: 550 Q36 V29
GMAT 3: 560 Q36 V31
GMAT 4: 640 Q41 V37
GMAT 5: 690 Q48 V36
Re: What is the value of t? [#permalink]
Ahhh I can't believe I missed that, I feel so stupid! Thanks though
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2462
Own Kudos [?]: 1360 [0]
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
Re: What is the value of t? [#permalink]
What is the value of t?

(1) s + t = 6 + s

S is canceled out

t =6

Sufficient

(2) t^3 = 216

Taking cubic root fro both sides

t =6

Sufficient

Director
Joined: 04 Dec 2015
Posts: 620
Own Kudos [?]: 1585 [0]
Given Kudos: 276
Location: India
Concentration: Technology, Strategy
WE:Information Technology (Consulting)
Re: What is the value of t? [#permalink]
Bunuel wrote:
What is the value of t?

(1) s + t = 6 + s
(2) t^3 = 216

(1) $$s + t = 6 + s$$

$$s + t - s = 6$$

$$t = 6$$

Hence I is Sufficient.

(2) $$t^3 = 216$$

$$\sqrt[3]{t^3} = \sqrt[3]{216}$$

$$t = 6$$

Hence II is Sufficient.

Intern
Joined: 10 Jan 2017
Status:Don't watch the clock,Do what it does, Keep Going.
Posts: 19
Own Kudos [?]: 10 [0]
Given Kudos: 67
Re: What is the value of t? [#permalink]
1. rewriting t=6 sufficient
2. t^3 = 216 so t=+6 sufficient
D
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18753
Own Kudos [?]: 22042 [1]
Given Kudos: 283
Location: United States (CA)
Re: What is the value of t? [#permalink]
1
Kudos
Bunuel wrote:
What is the value of t?

(1) s + t = 6 + s
(2) t^3 = 216

We need to determine the value of t.

Statement One Alone:

s + t = 6 + s

We can subtract s from both sides of the equation and obtain:

t = 6

Statement one is sufficient to answer the question.

Statement Two Alone:

t^3 = 216

We can take the cube root of t^3 and 216 and we have:

t = 6

Statement two is sufficient to answer the question.

GMAT Club Legend
Joined: 12 Sep 2015
Posts: 6821
Own Kudos [?]: 29900 [0]
Given Kudos: 799
Re: What is the value of t? [#permalink]
Top Contributor
Bunuel wrote:
What is the value of t?

(1) s + t = 6 + s
(2) t^3 = 216

Target question: What is the value of t?

Statement 1: s + t = 6 + s
Subtract s from both sides to get: t = 6
DONE!
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: t³ = 216
Only ONE value of t satisfies this equation. That value is 6 (6³ = 216)
So, it must be the case that t = 6
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

RELATED VIDEO FROM OUR COURSE
RSM Erasmus Moderator
Joined: 26 Mar 2013
Posts: 2462
Own Kudos [?]: 1360 [0]
Given Kudos: 641
Concentration: Operations, Strategy
Schools: Erasmus (II)
What is the value of t? [#permalink]
Bunuel wrote:
What is the value of t?

(1) s + t = 6 + s
(2) t^3 = 216

1) cancel 's' from each side, then

t = 6

Sufficient

2) We can take 3rd root of number, so we will get exact one answer

Sufficient

Senior Manager
Joined: 14 Oct 2019
Posts: 346
Own Kudos [?]: 341 [0]
Given Kudos: 127
Location: India
GPA: 4
WE:Engineering (Energy and Utilities)
Re: What is the value of t? [#permalink]
What is the value of t?

(1) s + t = 6 + s
or,t = 6 sufficient
(2) t^3 = 216
or,t = 6 sufficient

Manager
Joined: 30 Jan 2020
Posts: 167
Own Kudos [?]: 79 [0]
Given Kudos: 528
Location: India
WE:Accounting (Accounting)
Re: What is the value of t? [#permalink]
Bunuel wrote:
What is the value of t?

(1) s + t = 6 + s
(2) t^3 = 216

(1) s + t = 6 + s
t=6
(2) t^3=216
t=6
D
Manager
Joined: 12 Aug 2020
Posts: 53
Own Kudos [?]: 6 [0]
Given Kudos: 572
Re: What is the value of t? [#permalink]
Silly question, but we dont have to find the value of t right. For case 2, whether or not its a perfect cubed root, doesnt really matter right? You can look and know that you could find a value of t, whether or not its rational
Intern
Joined: 21 Sep 2020
Posts: 1
Own Kudos [?]: 0 [0]
Given Kudos: 11
Re: What is the value of t? [#permalink]
Navski wrote:
OG 2017 - Book Question 252:

What is the value of t?

(1) s + t = 6 + s
(2) t^3 = 216

(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.

So I picked A here instead of D because:

(1) Shows T = 6 + s - s = 6
(2) -6^3 = 216 and 6^3 = 216

The explanation for D was given as take the cube root such that you get t = 6

Am I mistaken because the question says t^3 and not (t)^3?

I just don't want to make a stupid mistake on the exam for something as easy as this.

Appreciate any insight
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5957
Own Kudos [?]: 13380 [0]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Re: What is the value of t? [#permalink]
Bunuel wrote:
What is the value of t?

(1) s + t = 6 + s
(2) t^3 = 216

Wanna make solving the Official Questions interesting???

Click here and solve 1000+ Official Questions with Video solutions as Timed Sectional Tests
and Dedicated Data Sufficiency (DS) Course

Video solution by GMATinsight

Get TOPICWISE: Concept Videos | Practice Qns 100+ | Official Qns 50+ | 100% Video solution CLICK HERE.
Two MUST join YouTube channels : GMATinsight (1000+ FREE Videos) and GMATclub
Manager
Joined: 11 Aug 2021
Posts: 50
Own Kudos [?]: 17 [0]
Given Kudos: 77
Re: What is the value of t? [#permalink]
does a odd root ALWAYS have one solution whereas an even root has multiple solutions?
GMAT Tutor
Joined: 24 Jun 2008
Posts: 4128
Own Kudos [?]: 9240 [2]
Given Kudos: 91
Q51  V47
Re: What is the value of t? [#permalink]
1
Kudos
1
Bookmarks
sa800 wrote:
does a odd root ALWAYS have one solution whereas an even root has multiple solutions?

x^3 = 216
or
t^5 = -32

where we're raising an unknown to an odd power, and that's equal to some number, then yes, there is always exactly one solution when the exponent is odd. If instead we have the same situation, but with an even power, there are three possibilities. If the result is equal to a positive number, e.g.

x^2 = 16
or
t^4 = 625

then there will be two solutions, one positive and one negative (4 and -4 to the first equation, 5 and -5 to the second), unless some restriction in the question obligates the solution to be positive (e.g. if x is a length or a number of cans in a warehouse, it cannot be negative).

If the result is equal to zero, there is just one solution, namely zero, so:

x^2 = 0

has only one solution, x = 0.

And if the result is equal to a negative number, which you shouldn't see on the GMAT, then there are no real solutions, so the equations:

x^4 = -64
or
t^2 = -9

have no real number solutions.
Re: What is the value of t? [#permalink]
Moderator:
Math Expert
92888 posts