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The size of diamonds is measured in carats. If the price of a diamond

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The size of diamonds is measured in carats. If the price of a diamond  [#permalink]

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New post 27 Feb 2017, 00:16
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Difficulty:

  55% (hard)

Question Stats:

62% (02:07) correct 38% (02:59) wrong based on 54 sessions

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The size of diamonds is measured in carats. If the price of a diamond doubles for every 0.5 carats, which of the following is worth the most?

(A) One 4-carat diamond
(B) Fourteen 1-carat diamonds
(C) Four 2-carat diamonds and eight 1-carat diamonds
(D) One 1-carat diamond, two 2-carat diamonds, and three 3-carat diamonds
(E) Three 1.5-carat diamonds and three 2.5-carat diamonds
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Re: The size of diamonds is measured in carats. If the price of a diamond  [#permalink]

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New post 27 Feb 2017, 21:43
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Hi vikasp99,

This question can be solved by TESTing VALUES.

We're told that the price of a diamond DOUBLES for every (increase in) 0.5 carats. We're asked which of the 5 options is worth the most money.

IF... a 0.5 carat diamond is worth $1 then....
a 1.0 carat diamond is worth $2
a 1.5 carat diamond is worth $4
a 2.0 carat diamond is worth $8
a 2.5 carat diamond is worth $16
a 3.0 carat diamond is worth $32
a 3.5 carat diamond is worth $64
a 4.0 carat diamond is worth $128

Using these values, you should be able to do the basic addition required to calculate the values of the 5 answer choices (although logically you should be able to avoid calculating some of them because they would just be too small a total)...

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Re: The size of diamonds is measured in carats. If the price of a diamond &nbs [#permalink] 27 Feb 2017, 21:43
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