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If the base score is between 10 and 99, the bonus is equal

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If the base score is between 10 and 99, the bonus is equal [#permalink] New post 02 Jun 2010, 21:05
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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] New post 03 Jun 2010, 05:04
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] New post 03 Jun 2010, 05:45
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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] New post 09 Feb 2011, 22:33
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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From 650 to 710 to 750 - My Tryst With GMAT [Experience Thread]

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Re: check this out! [#permalink] New post 09 Feb 2011, 22:34
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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From 650 to 710 to 750 - My Tryst With GMAT [Experience Thread]

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Re: 700 level question [#permalink] New post 10 Feb 2011, 02:16
Bunuel Rocks :)

Please don't read my crappy explanation :D
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Re: If the base score is between 10 and 99, the bonus is equal [#permalink] New post 31 May 2013, 04:43
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Re: If the base score is between 10 and 99, the bonus is equal [#permalink] New post 03 Jun 2013, 18:00
Bunuel wrote:
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE


Hi 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] New post 04 Jun 2013, 02:32
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Bunuel wrote:
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE


Hi 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.


All bumped questions are GMAT-like. As for the source, if it's not given in the tags, then it's not known.
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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: If the base score is between 10 and 99, the bonus is equal [#permalink] New post 16 Aug 2013, 07:17
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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 80-89 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] New post 02 Sep 2013, 19:39
Is it a 700+ question ? , Do such questions come ?
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Re: 700 level question [#permalink] New post 03 Sep 2013, 01:13
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Re: 700 level question   [#permalink] 03 Sep 2013, 01:13
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