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# A company offers its Zinc tablets in three different packet sizes -

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Joined: 22 Aug 2013
Posts: 1428
Location: India
A company offers its Zinc tablets in three different packet sizes -  [#permalink]

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04 Apr 2018, 11:35
1
00:00

Difficulty:

35% (medium)

Question Stats:

70% (01:38) correct 30% (01:45) wrong based on 56 sessions

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A company offers its Zinc tablets in three different packet sizes - small, medium and large - respectively. If Radhika bought at least one packet of each type, how many packets of the 'small' sized type did she buy?

(1) Ratio of number of small sized packets to the number of large sized packets bought by Radhika was 3:2.

(2) Number of medium sized packets bought by Radhika was 15 more than that of the large sized packets, and was 10 more than that of the small sized packets.
Intern
Status: Preparing for GMAT
Joined: 07 Nov 2016
Posts: 16
Location: India
Concentration: Technology, Economics
GPA: 3.1
WE: Analyst (Consulting)
Re: A company offers its Zinc tablets in three different packet sizes -  [#permalink]

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04 Apr 2018, 13:55
amanvermagmat wrote:
A company offers its Zinc tablets in three different packet sizes - small, medium and large - respectively. If Radhika bought at least one packet of each type, how many packets of the 'small' sized type did she buy?

(1) Ratio of number of small sized packets to the number of large sized packets bought by Radhika was 3:2.

(2) Number of medium sized packets bought by Radhika was 15 more than that of the large sized packets, and was 10 more than that of the small sized packets.

Statement 1- We only get the ratio of number of small packets to large packets. This statement is insufficient.

Statement 2-
Let the number of Small packets, Medium packets and Large packets be x,y and z respectively
According to the statement- y=z+15 and y=x+10
=> z+15=x+10, x-z=5
Thus Statement 2 is also not sufficient

Combining Statement 1 and 2,
x:z=3:2
=>x=3/2z
Using the above in equation in Statement 2-
3/2x-x=5
Therefore x=10

Re: A company offers its Zinc tablets in three different packet sizes -   [#permalink] 04 Apr 2018, 13:55
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