unuel', ), ); ?> A company called Nutriway offers its Magnesium tablets in three differ : Data Sufficiency (DS)
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A company called Nutriway offers its Magnesium tablets in three differ

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A company called Nutriway offers its Magnesium tablets in three differ  [#permalink]

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New post 04 Apr 2018, 11:24
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A company called Nutriway offers its Magnesium tablets in three different packet sizes - containing 30, 60 and 90 tablets each - respectively. If Venkat bought at least one packet of each type, then out of the given three types, which type of packets did he buy in maximum number?

(1) Number of packets bought by Venkat containing 90 tablets each were 1/3 of the total number of packets bought by Venkat.

(2) Number of packets bought by Venkat containing 60 tablets each were more than the number of packets containing 30 tablets each.
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Re: A company called Nutriway offers its Magnesium tablets in three differ  [#permalink]

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New post 04 Apr 2018, 11:38
Answer should be both together are sufficient.

1. 90 tab size packets are 1/3

If total packets purchased were 9
90 tab - 3
60 tab could be 1,2,3,4,5
30 tab could be 5,4,3,2,1

Hence Not Sufficient.

2. Specifies 60 tab packets are more than 30 tab packets
But nothing about 90tab packets

So 90tab packets could be more than 60 or vice a versa.
Not sufficient.

Combining 2 gives ans as 60 tab packets are maximum.


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Re: A company called Nutriway offers its Magnesium tablets in three differ  [#permalink]

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New post 04 Apr 2018, 14:07
Statement (1): 1/3 of all packages are 90 tablets ones. However, we don't know anything about the rate of the other two ones.

Statement (2): Number of 60 tablets packages > number of 30 tablets packages.

Combine (1) and (2): If each number of a package size was 1/3 of the total number, we wouldn't have a greatest number of one type. We know for sure that the number of the 90 tablets package is 1/3 of the total. We also know that there are more 60 tablets than 30 tablets packages. Hence, 60 tablets packages represent more than 1/3 of all packages and 30 tablet packages represent less than 1/3 of all packages.

In conclusion, we know that the number comparison looks like this: 60 tablets > 90 tablets > 30 tablets. This gives us C as the correct answer.

Hope that helps :-)
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Re: A company called Nutriway offers its Magnesium tablets in three differ &nbs [#permalink] 04 Apr 2018, 14:07
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