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Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5

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japped187
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Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   Updated on: 08 Oct 2019, 07:12
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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. \(4^5 + 9^5\)
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C

Originally posted by japped187 on 07 Mar 2008, 02:53.
Last edited by Bunuel on 08 Oct 2019, 07:12, edited 2 times in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   24 Jul 2013, 21:38
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Rs1991 wrote:
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



\((2^5+2^5) + (3^5+3^5+3^5)\)
\(= 2*2^5 + 3*3^5\) (You have two 2^5 so you club them as 2*2^5. Similarly for 3)
\(= 2^6 + 3^6\)
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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   07 Mar 2008, 03:10
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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^(1+5) + 3^(1+5)
= 2^6 + 3^6

Ans: C
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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   25 Jul 2013, 02:01
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Rs1991 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


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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   03 Feb 2015, 02:09
I did it using the answer choices.

After reaching this point:
2^5 + 2^5 + 3^5 + 3^5 + 3^5
= 2 (2^5) + 3 (3^5)

I just took the answer choices from E upwards and rejected them.

E.g E. 4^5 + 9^5, has many more numbers that what we want, because 4^5 is equal to 2^10. No need to check 9^5.
D similarly has more numbers than we want, D. 2^7 + 3^8, since we have 2*2*2*2*2*2*2, so this is 2*2^6.

ANS C, gives as the number we are looking for.
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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   08 Jun 2017, 08:25
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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*2*2*2*2*2 + 3*3*3*3*3*3

= 2^6 + 3^6
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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   02 Oct 2017, 10:42
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japped187 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:
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C


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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   08 Oct 2019, 07:28
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japped187 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. \(4^5 + 9^5\)


2*2^5 + 3*3^5 = 2^6 + 3^6

IMO C

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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   20 Feb 2020, 13:27
GMATPrepNow wrote:
japped187 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:
Show Spoiler
C


RELATED VIDEO FROM OUR COURSE


Hi

I was just wondering when I made the equation 2^5 (1+1) + 3^5 (1+1+1) ------> 2^5 (2) + 3^5 (3) felt that it should be 4^5 + 9^5 with direct multiplication irrespective of powers. Can you help me understand why it won't be that please?
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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   20 Feb 2020, 18:46
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\(2^5 + 2^5 + 3^5 + 3^5 + 3^5\)

\( =(2^5 + 2^5) + (3^5 + 3^5 + 3^5) \)

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

\( =2^5 (2) + 3^5 (3) \)

\( =2^6 + 3^6 \)
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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   28 Feb 2020, 08:08
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japped187 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. \(4^5 + 9^5\)


Simplifying, we have:

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

2^5 x 2^1 + 3^5 + 3^1

2^6 + 3^6

Answer: C
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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   02 Aug 2020, 00:00
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japped187 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. \(4^5 + 9^5\)



2^5=32
32+32=64=2^6

3^5=243
243+243+243=729=3^6

Therefore 2^6+3^6
C
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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink] New post   18 Mar 2024, 09:14
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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5 [#permalink]
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