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# What is the value of t?

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Math Expert
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What is the value of t? [#permalink]

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16 Jun 2016, 03:26
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What is the value of t?

(1) s + t = 6 + s
(2) t^3 = 216
[Reveal] Spoiler: OA

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

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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

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

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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.

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What is the value of t? [#permalink]

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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.

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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23 Feb 2017, 08:30
1
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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.

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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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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23 Feb 2017, 10:38
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

Merging topics. Please refer to the discussion above.
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Re: What is the value of t? [#permalink]

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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

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

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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.

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

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18 Sep 2017, 04:57
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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] 18 Sep 2017, 04:57
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