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What is the value of t?

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What is the value of t? [#permalink]

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Re: What is the value of t? [#permalink]

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New post 16 Jun 2016, 03:57
Bunuel wrote:
What is the value of t?

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


(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=\(\sqrt[3]{216}\)=\(\sqrt[3]{6^3}\)=6,Sufficient

Correct Answer D
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Re: What is the value of t? [#permalink]

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New post 16 Jun 2016, 07:07
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.
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What is the value of t? [#permalink]

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New post 23 Feb 2017, 08:24
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
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Re: What is the value of t? [#permalink]

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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.



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



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.
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Re: What is the value of t? [#permalink]

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New post 23 Feb 2017, 08:44
Ahhh I can't believe I missed that, I feel so stupid! Thanks though :)
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Re: What is the value of t? [#permalink]

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New post 04 Jul 2017, 05:37
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
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Re: What is the value of t? [#permalink]

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New post 04 Jul 2017, 14:39
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.

Answer (D)...
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Re: What is the value of t? [#permalink]

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1. rewriting t=6 sufficient
2. t^3 = 216 so t=+6 sufficient
D
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Re: What is the value of t? [#permalink]

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New post 20 Dec 2017, 08:23
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.

Answer: D
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Re: What is the value of t? [#permalink]

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New post 22 Dec 2017, 12:01
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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

Answer: D

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What is the value of t? [#permalink]

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New post 23 Dec 2017, 13:03
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

Answer: D
What is the value of t?   [#permalink] 23 Dec 2017, 13:03
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