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

Question

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

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

Bunuel · Accepted Answer

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 .

Answer: A.

PareshGmat · Answer

Answer = 3 =A

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

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

= 3

Abhishek009 · Answer

\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)

ScottTargetTestPrep · Answer

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:

/ 96^2 = (96^2 x 3) / 96^2 = 3

Answer: A

Kinshook · Answer

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

IMO A

Abhishek009 · Answer

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

=  \frac{(2^6)(3^3)(2^4)}{2^{10}*3^2}

=  \frac{(2^{10})(3^3)}{2^{10}*3^2}

=  3 , answer must be (A)

Aim4gmat2024 · Answer

Factorizing is a very often used tool in gmat quant. The same set of steps is followed for various questions like remainders , divisibilty, number of zeroes etc. Most things cancel leaving just the 3

totaltestprepNick · Answer

A https://www.youtube.com/watch?v=WF7OBY1NYTs Nick Slavkovich, GMAT/GRE tutor with 20+ years of experience tutoring@totaltestprep.net

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

Prep Toolkit

Top 5 GMAT Debrief Videos

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

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

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

Prep Toolkit

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

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards