Which of the following is equal...

[Vincen]

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?

[Brent@GMATPrepNow]

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

Cheers,
Brent

[Scott@TargetTestPrep]

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