Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

If the base score is between 10 and 99, the bonus is equal [#permalink]

Show Tags

02 Jun 2010, 22:05

4

This post received KUDOS

19

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

43% (03:03) correct
57% (02:10) wrong based on 762 sessions

HideShow timer Statistics

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.

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.

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.

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
_________________

"Wherever you go, go with all your heart" - Confucius

Re: If the base score is between 10 and 99, the bonus is equal [#permalink]

Show Tags

16 Aug 2013, 08:17

4

This post received KUDOS

1

This post was BOOKMARKED

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

Re: If the base score is between 10 and 99, the bonus is equal [#permalink]

Show Tags

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.
_________________

Re: If the base score is between 10 and 99, the bonus is equal [#permalink]

Show Tags

19 Jun 2016, 01:52

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.
_________________

Best Schools for Young MBA Applicants Deciding when to start applying to business school can be a challenge. Salary increases dramatically after an MBA, but schools tend to prefer...

Marty Cagan is founding partner of the Silicon Valley Product Group, a consulting firm that helps companies with their product strategy. Prior to that he held product roles at...