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GRE Prep Club Team Member
Joined: 20 Feb 2017
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A renowned medical store must purchase a set of n metal weights, each
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06 Sep 2021, 09:53
06 Sep 2021, 09:53
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A renowned medical store must purchase a set of n metal weights, each weighing an integer number of grams, such that all integer weights from 1 to 300 grams (inclusive) can be made with a combination of one or more of the weights. What is the minimum number of metal weights that the medical store must purchase?
(A) 6
(B) 8
(C) 9
(D) 10
(E) 12
(A) 6
(B) 8
(C) 9
(D) 10
(E) 12
A renowned medical store must purchase a set of n metal weights, each
[#permalink]
07 Sep 2021, 12:22
07 Sep 2021, 12:22
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Answer is (B) 8
This is based on the powers of 2.
So if the total weight is 7, we would need just 1,2 and 4 gms, just 3 weights to measure all weights till 7,
Here it's 300 and the closest max power of 2 is \(2^8 = 256\) and we can measure all the weights up to \(2^9 - 1 = 511\)
This is based on the powers of 2.
So if the total weight is 7, we would need just 1,2 and 4 gms, just 3 weights to measure all weights till 7,
Here it's 300 and the closest max power of 2 is \(2^8 = 256\) and we can measure all the weights up to \(2^9 - 1 = 511\)
gmatclubot
A renowned medical store must purchase a set of n metal weights, each [#permalink]
07 Sep 2021, 12:22
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