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# If the original mass of an element, in grams, is a whole number and th

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GMAT 1: 460 Q28 V26
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GMAT 4: 650 Q42 V38
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Senior Manager
Joined: 16 Oct 2020
Posts: 262
Own Kudos [?]: 167 [2]
Given Kudos: 2383
GMAT 1: 460 Q28 V26
GMAT 2: 550 Q39 V27
GMAT 3: 610 Q39 V35
GMAT 4: 650 Q42 V38
GMAT 5: 720 Q48 V41
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Re: If the original mass of an element, in grams, is a whole number and th [#permalink]
Let original mass be OM and reduced mass be RM. Given, The original mass(OM) is a whole number.

The mass has decayed by 94%. So 6/100 * OM = RM
OM = 100 * RM / 6 => OM = 50 * RM / 3

We know that OM is a whole number, for it to be true, OM needs to be a multiple of 3. Option A is the only multiple of 3.
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Re: If the original mass of an element, in grams, is a whole number and th [#permalink]
To understand this question, we can go with the approach to assume the value of the original mass.

400*6% = 24 grams
500*6% = 30 grams
600*6% = 36 grams.

Hence, the original mass will be somewhere from 400 to 600. And the reduce mass is also an integer. So, lets assume value.

450 grams *6% = 27 grams which is the first option.
Re: If the original mass of an element, in grams, is a whole number and th [#permalink]