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Which of the following is equal...

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by Vincen » Mon Oct 02, 2017 9:29 am
Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 + 3^5 ?

A. 5^6
B. 13^5
C. 2^6 + 3^6
D. 2^7 + 3^8
E. 4^5 + 9^5

The OA is C.

What are the calculations behind this PS question?
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by Brent@GMATPrepNow » Mon Oct 02, 2017 9:41 am
Vincen wrote:Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 + 3^5 ?

A. 5^6
B. 13^5
C. 2^6 + 3^6
D. 2^7 + 3^8
E. 4^5 + 9^5
Given: 2^5 + 2^5 + 3^5 + 3^5 + 3^5

Notice that this expression has the same STRUCTURE as x + x + y + y + y
Simplifying, we get: x + x + y + y + y = 2x + 3y

LIKEWISE, 2^5 + 2^5 + 3^5 + 3^5 + 3^5 = 2(2^5) + 3(3^5)
= (2^1)(2^5) + (3^1)(3^5)
= 2^6 + 3^6

Answer: C

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: Which of the following is equal...

by Scott@TargetTestPrep » Tue Jan 28, 2020 5:54 am
Vincen wrote: ↑
Mon Oct 02, 2017 9:29 am
 Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 + 3^5 ?

A. 5^6
B. 13^5
C. 2^6 + 3^6
D. 2^7 + 3^8
E. 4^5 + 9^5

The OA is C.

What are the calculations behind this PS question?
2^5+2^5+3^5+3^5+3^5

2^5(1 + 1) + 3^5(1 + 1 + 1)

2^5(2) + 3^5(3)

2^6 + 3^6

Answer: C

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