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Re: What is the value of (2^5 + 2^6 + 2^7)? [#permalink]
Expert Reply
Bunuel wrote:
What is the value of (2^5 + 2^6 + 2^7)?

A. 4096
B. 512
C. 224
D. 196
E. 32


We can factor out 2^5 from the given expression (2^5 + 2^6 + 2^7) and we have:

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

32(1 + 2 + 4)

32 x 7 = 224

Answer: C
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Re: What is the value of (2^5 + 2^6 + 2^7)? [#permalink]
What is the value of (2^5 + 2^6 + 2^7)?

(2^5 + 2^6 + 2^7)
=2^5(1 + 2^1 + 2^2)
=32(1 + 2 + 4)
=32 x 7 = 224

correct answer C
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Re: What is the value of (2^5 + 2^6 + 2^7)? [#permalink]
What is the value of (2^5 + 2^6 + 2^7)?

2^5(1+2+4)
2^5*7

Now this results in a number ending with 4.
Which is option C.

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Re: What is the value of (2^5 + 2^6 + 2^7)? [#permalink]
Bunuel wrote:
What is the value of (2^5 + 2^6 + 2^7)?

A. 4096
B. 512
C. 224
D. 196
E. 32


First we factor out to bring numbers to workable range, as calculating these number might be difficult in a stressful environment but I am guessing if anyone has it memorized then they will be fine right? Anywho, here is what I did.

Factoring out lowest value - \(2^5(1 + 2 + 2^2) = 2^5(7) = 32*7 = 224\)

Time taken - 1min.
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Re: What is the value of (2^5 + 2^6 + 2^7)? [#permalink]
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