What is the value of t?

Question

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

avigutman · Accepted Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=mX0yi48gzGU

AbdurRakib · Answer

(1) Clearly t=6,because we can eliminate s from both side of the equation, Sufficient

(2)  t^3 =216,here t must be positive because other side of the equation(216) is positive.So t= \sqrt {216} = \sqrt {6^3} =6,Sufficient

Correct Answer D

gauravsaggis1 · Answer

from 1) value of t=6 so sufficient
from 2) t^3=216 so t=6

both statements are independently sufficient to answer.
so answer is D.

Navski · Answer

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.

Correct Answer: D

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

vishalkumar4mba · Answer

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.

Navski · Answer

Ahhh I can't believe I missed that, I feel so stupid! Thanks though

Mo2men · Answer

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

Answer: D

sashiim20 · Answer

(1)  s + t = 6 + s

s + t - s = 6

t = 6

Hence I is Sufficient.

(2)  t^3 = 216

\sqrt {t^3} = \sqrt {216}

t = 6

Hence II is Sufficient.

Answer (D)...

adil123 · Answer

1. rewriting t=6 sufficient
2. t^3 = 216 so t=+6 sufficient
D

ScottTargetTestPrep · Answer

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.

Answer: D

BrentGMATPrepNow · Answer

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

Answer: D

RELATED VIDEO FROM OUR COURSE
  https://www.youtube.com/watch?v=B2R6WUCTrIo

Mo2men · Answer

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

Answer: D

preetamsaha · Answer

What is the value of t?

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

correct answer D

hemantbafna · Answer

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

testtakerstrategy · Answer

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

DiPORTmba · Answer

GMATinsight · Answer

Answer: Option D

Video solution by  GMATinsight

https://www.youtube.com/watch?v=qo5YmwB-Tpg

Sa800 · Answer

does a odd root ALWAYS have one solution whereas an even root has multiple solutions?

IanStewart · Answer

If you're asking about equations like

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.

What is the value of t?

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GMAT Data Sufficiency (DS) Questions

What is the value of t?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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My Rewards