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2^2 (420) or 2^5 (105)

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sandy
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2^2 (420) or 2^5 (105) [#permalink] New post   Updated on: 06 Aug 2022, 16:54
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Question Stats:

79% (00:33) correct 20% (00:25) wrong based on 24 sessions

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Quantity A
Quantity B
\(2^2 (420)\)
\(\)


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.
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Official Answer
B

Originally posted by sandy on 29 Apr 2018, 00:47.
Last edited by Carcass on 06 Aug 2022, 16:54, edited 2 times in total.
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waqas123
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Re: 2^2 (420) or 2^5 (105) [#permalink] New post   30 Apr 2018, 05:16
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Prime factorization of Quantity A yields 2^4*3*5*7 and of quantity B yields 2^5*3*5*7. So, clearly, quantity B is greater.
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Re: 2^2 (420) or 2^5 (105) [#permalink] New post   13 May 2018, 15:40
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Explanation

Compare the quantities, looking for ways that the numbers in one quantity can be rewritten using the numbers from the other quantity. In Quantity A, rewrite 420 as 4 × 105.

The 105 values cancel out, and the remaining multiples of 2 also cancel except for one 2 left in Quantity B. Choice (B) is correct.
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Re: 2^2 (420) or 2^5 (105) [#permalink] New post   06 Aug 2022, 14:01
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Working with estimation

A: 4 * 400 = 1600
B: 32 * 100 = 3200

So B is much larger.

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Re: 2^2 (420) or 2^5 (105) [#permalink]
06 Aug 2022, 14:01
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