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During a 10-week summer vacation, was the average [#permalink]

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27 Oct 2008, 06:02

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During a 10-week summer vacation, was the average (arithmetic mean) number of books that Carolyn read per week greater than the average number of books that Jacob read per week? (1) Twice the average number of books that Carolyn read per week was greater than 5 less than twice the average number of books that Jacob read per week. (2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob.

[quote="rampuria"]During a 10-week summer vacation, was the average (arithmetic mean) number of books that Carolyn read per week greater than the average number of books that Jacob read per week? (1) Twice the average number of books that Carolyn read per week was greater than 5 less than twice the average number of books that Jacob read per week. (2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob.

average books read/week

from 1 x ,y number of books x/10*2 = x/5 > y/5-5

x > y-25 ie, x/10-y/10> -25/10>-2.5 thus sure y/10 - x/10<2.5 ( x, y cant be -ve as it is a number of books)

..........suff

from2

during the first 5 weeks

total books by carol = x+y+3, total books Jackop = z+y+3

as long as x,z are unknown......insuff

A

Last edited by yezz on 28 Oct 2008, 01:11, edited 3 times in total.

During a 10-week summer vacation, was the average (arithmetic mean) number of books that Carolyn read per week greater than the average number of books that Jacob read per week? (1) Twice the average number of books that Carolyn read per week was greater than 5 less than twice the average number of books that Jacob read per week. (2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob.

Pls explain

c = avg books read by carolyn j = avg books read by jacob

question --> c>j ?

(1) 2c = 2j-5 -------> implies c > j .... suff. (2) we have no info about first 5 weeks. Maybe jacob read more books than carolyn read ?? No idea .... not suff ...

A
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During a 10-week summer vacation, was the average (arithmetic mean) number of books that Carolyn read per week greater than the average number of books that Jacob read per week? (1) Twice the average number of books that Carolyn read per week was greater than 5 less than twice the average number of books that Jacob read per week. (2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob.

Pls explain

c = avg books read by carolyn j = avg books read by jacob

question --> c>j ?

(1) 2c = 2j-5 -------> implies c > j .... suff. (2) we have no info about first 5 weeks. Maybe jacob read more books than carolyn read ?? No idea .... not suff ...

A

Statement A says 2c > 2j -5 This does not imply c > j....what if c = 2 and j = 3 ? If it were 2c = 2j - 5 and both c and j > 0 then it were a different story Statement A is insufficient

Statement B is also insufficient Together does not help much either

During a 10-week summer vacation, was the average (arithmetic mean) number of books that Carolyn read per week greater than the average number of books that Jacob read per week? (1) Twice the average number of books that Carolyn read per week was greater than 5 less than twice the average number of books that Jacob read per week. (2) During the last 5 weeks of the vacation, Carolyn read a total of 3 books more than Jacob.

average books read/week

from 1 x ,y number of books x/10*2 = x/5 > y/5-5 x > y-25..........suff

from2

during the first 5 weeks

total books by carol = x+y+3, total books Jackop = z+y+3

as long as x,z are unknown......insuff

A

x > y - 25 is not sufficient to say that x > y what if x = 25 and y = 27 ?

I think, it should be B. But, But, my approach may be wrong. I will wait for the OA.

Suppose, C and J are the weekly average number of books that C and J read.

Then, for five weeks, 5C = 5J + 3 and this clearly tells that C > J.

However, I somehow feel, I should not be multiplying the average by 5 as it could also be possible that in the first 5 weeks, many more books were read than in the second half or vice versa.