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C
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Difficulty:
55%
(hard)
Question Stats:
54% (01:25) correct
46%
(01:25)
wrong
based on 306
sessions
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A village is under attacked by a deadly virus species. The virus is spreading greatly. But there is a talented scientist who can put this virus under control, but to do so all he needs to know is “does the population of the viruses double everyday?”
(1) The population increased by 12 on a particular day.
(2) The population increased by 18 on a particular day.
(1) The population increased by 12 on a particular day.
(2) The population increased by 18 on a particular day.
05 Aug 2013, 01:27
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Asifpirlo
Good Question
The questions asks whether "r " in a geometric sequence is 2 or not
Lets assume that r=2
& first term is x
So the sequence will be
x 2x 4x 8x 16x 32x 64x 128x
So the increases on any particular day can be x, 2x, 4x, 8x, 16x, 32x, 64x
Statement 1
The population increased by 12 on a particular day.
Clearly insufficient as 12 can equal any one of the terms in x, 2x, 4x, 8x, 16x, 32x, 64x
Statement 2
The population increased by 18 on a particular day.
Clearly insufficient as 18 can equal any one of the terms in x, 2x, 4x, 8x, 16x, 32x, 64x
Statement 1 & 2
The population increased by 12 & 18 on two different days.
12 can equal any one of the terms in the following sequence x, 2x, 4x, 8x, 16x, 32x, 64x
12......Value of x........Proportionate value of 18 (in terms of x)............Is there any increase in the sequence that equals Proportionate value of 18 (in terms of x)
x........12...................1.5x................................................................No
2x.......6....................3x...................................................................No
4x.......3....................6x...................................................................No
8x.......1.5.................12x..................................................................No
16x.....3/4.................24x..................................................................No
This clearly proves that "r " in a geometric sequence is not 2
Thus Sufficient
Answer C
17 Jan 2018, 11:13
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Asifpirlo
Interesting Question!
(1) Population increased by 12 on a particular day. Clearly, this is insufficient to answer the question. Nothing about initial value of this day is given. And nothing about other days is given too. Insufficient.
(2) Population increased by 18 on a particular day. Again, this is also insufficient. Nothing about initial value of this day is given. And nothing about other days is given too. Insufficient.
Combining the two statements, on one particular day population increased by 12, and on another specific day it increased by 18. Now lets just Assume for a moment that the population is actually getting doubled every day. So on the day it increased by 12, the starting population must have been 12, and thus at the end of the day population must have become 24. So now, next day the population will increase by 24, making it 48 at the day end. Next day it will increase by 48 and so on.. Nowhere will it increase by 18 in this case (because if its actually getting doubled daily and it has increased by 12 on a particular day, then the next day's increase will be 24, and then the daily increase will keep on increasing).
So the assumption of daily getting doubled doesnt fit in here. If its getting doubled daily, then increase of both 12 (on some day) and 18 (on any other day) is NOT possible. So this gives us NO as an answer to the question. Sufficient.
Hence C answer
