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# (8^2)(3^3)(2^4)/96^2=

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Math Expert
Joined: 02 Sep 2009
Posts: 64240

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14 Mar 2014, 02:17
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Difficulty:

5% (low)

Question Stats:

87% (01:28) correct 13% (02:08) wrong based on 556 sessions

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The Official Guide For GMAT® Quantitative Review, 2ND Edition

$$\frac{(8^2)(3^3)(2^4)}{96^2}=$$

(A) 3
(B) 6
(C) 9
(D) 12
(E) 18

Problem Solving
Question: 163
Category: Arithmetic Operations on rational numbers
Page: 83
Difficulty: 550

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16 Mar 2014, 04:50
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2
SOLUTION

$$\frac{(8^2)(3^3)(2^4)}{96^2}=$$

(A) 3
(B) 6
(C) 9
(D) 12
(E) 18

$$\frac{(8^2)(3^3)(2^4)}{96^2}=\frac{(8^2)(3^3)(2^4)}{(8*3*2^2)^2}=3$$.

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20 Mar 2014, 23:15

$$\frac{2^{10} . 3^3}{(2^5. 3)^2}$$

$$\frac{2^{10} . 3^3}{2^{10}. 3^2}$$

= 3
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04 Jul 2018, 07:53
Bunuel wrote:
$$\frac{(8^2)(3^3)(2^4)}{96^2}=$$

(A) 3
(B) 6
(C) 9
(D) 12
(E) 18

$$\frac{(8^2)(3^3)(2^4)}{96^2}$$

Or, $$\frac{2^6*3^3*2^4}{2^{10}3^2}$$

Or, 3, Answer must be (A)
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29 Jul 2019, 15:21
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

$$\frac{(8^2)(3^3)(2^4)}{96^2}=$$

(A) 3
(B) 6
(C) 9
(D) 12
(E) 18

Problem Solving
Question: 163
Category: Arithmetic Operations on rational numbers
Page: 83
Difficulty: 550

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

Since 8 x 3 x 2^2 = 96, then we see that 8^2 x 3^2 x 2^4 = 96^2, so we have:

[(8^2 x 3^2 x 4^2) x 3] / 96^2 = (96^2 x 3) / 96^2 = 3

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16 Sep 2019, 07:57
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

$$\frac{(8^2)(3^3)(2^4)}{96^2}=$$

(A) 3
(B) 6
(C) 9
(D) 12
(E) 18

Problem Solving
Question: 163
Category: Arithmetic Operations on rational numbers
Page: 83
Difficulty: 550

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

$$\frac{(8^2)(3^3)(2^4)}{96^2}= \frac{2^6*3^3*2^4}{(2^5 *3)^2} = 3$$

IMO A
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Re: (8^2)(3^3)(2^4)/96^2=   [#permalink] 16 Sep 2019, 07:57