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If the base score is between 10 and 99, the bonus is equal [#permalink]
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02 Jun 2010, 22:05
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When Mrs. T's students answer the bonus question correctly, she awards a bonus. If the base score is between 10 and 99, the bonus is equal to 2 times the tens digit in the base score. The last test Mrs. T scored was between 10 and 99, and the student answered the bonus question correctly. Was the bonus given greater than 17% of the base score? (1) The base score of the test was between 50 and 90. (2) Mrs. T added 16 bonus points to the last test she graded.
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Re: 700 level question [#permalink]
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03 Jun 2010, 06:04
B
Its cuz the percentage only ranges from 17.9% to 20% measured at any point from 80 to 89 (cuz bonus points=16)
in case of statement A . its insufficient. cuz (10/59)*100 is 16.9 which is not greater than 17% while for many other values it is greater than 17% , so it is insufficient.



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Re: 700 level question [#permalink]
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03 Jun 2010, 06:45
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shekar123 wrote: When Mrs. T's students answer the bonus question correctly, she awards a bonus. If the base score is between 10 and 99, the bonus is equal to 2 times the tens digit in the base score. The last test Mrs. T scored was between 10 and 99, and the student answered the bonus question correctly. Was the bonus given greater than 17% of the base score?
(1) The base score of the test was between 50 and 90.
(2) Mrs. T added 16 bonus points to the last test she graded. Given: Score is a two digit number  \(S=10x+y\) (as the score was between 10 and 99); Bonus  \(B=2x\). Question: is \(2x>\frac{17}{100}(10x+y)\)? > is \(30x>17y\)? (1) The base score of the test was between 50 and 90 > \(5\leq{x}\leq{9}\) > the range of \(30x\) is \(150\leq{30x}\leq{270}\) and the range of \(17y\) is \(0\leq{17y}\leq{153}\) (as \(y\) can be from 0 to 9). Hence \(30x\) may or may not be more than \(17y\). Not sufficient. (2) Mrs. T added 16 bonus points to the last test she graded > \(B=2x=16\) > \(x=8\) > \(30x=240\). Max value of \(17y=153\) (as max value of \(y\) is 9), hence \(30x\) is more than \(17y\). Sufficient. Answer: B. Hope it's clear.
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Re: check this out! [#permalink]
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09 Feb 2011, 23:33
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Let the base score be 10A+B where A is the tens digit of the base score and B is the units digit of the base score. Bonus = 2A Question: is [2A/(10A+B)] * 100 > 17? or [2A/(10A+B) > 0.17 Statement 1: Base score is between 50 and 90. Thus A can range from 5 to 8 [Excluding extreme values] For each range, the ratio will be the least when B is the highest. Thus, we calculate the Bonus/Base Score ratio based on the highest base score possible for a given value of A A = 5, Bonus = 10 Base Score = 59 Ratio = 10/59 = 0.169 < 0.17 A = 6, Bonus = 12 Base Score = 69 Ratio = 12/69 = 0.173 > 0.17 Thus not sufficient Statement 2: Bonus = 16 A = 8 Ratio 2A/(10A+B) For A = 8 and B = [0, 9] 16/80> 2A/(10A+B) > 16/89 0.2> 2A/(10A+B) > 0.179 Thus the bonus awarded is greater than 17% of base score! Sufficient Ans: B
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Re: check this out! [#permalink]
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09 Feb 2011, 23:34
I don't think actual GMAT Questions will involve division with primes as large as 59 Where do you get these questions from dude? :D
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Re: 700 level question [#permalink]
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10 Feb 2011, 03:16



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Re: If the base score is between 10 and 99, the bonus is equal [#permalink]
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31 May 2013, 05:43



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Re: If the base score is between 10 and 99, the bonus is equal [#permalink]
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03 Jun 2013, 19:00
Bunuel wrote: Bumping for review and further discussion*. Get a kudos point for an alternative solution! *New project from GMAT Club!!! Check HEREHi Bunnel, Thanks for this initiative. However I miss the source of these questions and an idea about how 'GMAT like' these questions are. Will be great help if you added those informations as well.



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Re: If the base score is between 10 and 99, the bonus is equal [#permalink]
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04 Jun 2013, 03:32



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Re: If the base score is between 10 and 99, the bonus is equal [#permalink]
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16 Aug 2013, 08:17
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shekar123 wrote: When Mrs. T's students answer the bonus question correctly, she awards a bonus. If the base score is between 10 and 99, the bonus is equal to 2 times the tens digit in the base score. The last test Mrs. T scored was between 10 and 99, and the student answered the bonus question correctly. Was the bonus given greater than 17% of the base score?
(1) The base score of the test was between 50 and 90. (2) Mrs. T added 16 bonus points to the last test she graded. Alternative solution : (1)The base score of the test was between 50 and 90. if base score 51 then Bonus score :10 17% of 51 = 8.67 so Bonus score is more than 17% of base Score. if base score is 59 then also Bonus score :10 17% of 59 = 10.03 here bonus is not greater then 17% of base score Hence two cases insufficient (2)Mrs. T added 16 bonus points to the last test she graded. if Bonus is 16 then Base score must be between 80 and 89 17% of 80=13.60 , So Bonus is more than 17% of base score 17% of 89 = 15.13, Here also Bonus is more than 17 % of base score if Base score is between 8089 bonus score 16, will always be more than 17% of base core Hence B is sufficient.
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Re: 700 level question [#permalink]
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02 Sep 2013, 20:39
Is it a 700+ question ? , Do such questions come ?



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Re: 700 level question [#permalink]
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03 Sep 2013, 02:13



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Re: If the base score is between 10 and 99, the bonus is equal [#permalink]
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04 Oct 2014, 05:44
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: If the base score is between 10 and 99, the bonus is equal [#permalink]
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10 May 2015, 11:00
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All bumped questions are GMATlike. As for the source, if it's not given in the tags, then it's not known.[/quote]
Hello Guys  I saw this question on Grockit. So that's the source.
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If the base score is between 10 and 99, the bonus is equal [#permalink]
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11 May 2015, 03:27



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Re: If the base score is between 10 and 99, the bonus is equal [#permalink]
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Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: If the base score is between 10 and 99, the bonus is equal
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