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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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Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5  [#permalink]

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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. \(4^5 + 9^5\)

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]

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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]

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New post 07 Mar 2008, 03:10
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3
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]

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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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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]

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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]

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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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Re: Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5  [#permalink]

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New post 08 Oct 2019, 07:28
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] 08 Oct 2019, 07:28
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