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:

70% (01:46) correct 30% (01:42) wrong based on 1214 sessions

HideShow timer Statistics

Each gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore?

(1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. (2) The total cost of gift certificates sold yesterday by the bookstore was $460.

Practice Questions Question: 57 Page: 279 Difficulty: 600

Each gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore?

Let x be the number of $10 gift certificates and y be the number of $50 gift certificates. Given: y > 5. Question: x + y = ?.

(1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. x<10. clearly insufficient.

(2) The total cost of gift certificates sold yesterday by the bookstore was $460. 10x+50y=460. Several pairs are possible: for example x=1 and y=9 as well as x=6 and y=8. Not sufficient.

(1)+(2) x=1 and y=9 as well as x=6 and y=8 satisfy both statements. Not sufficient.

WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)

Re: Each gift certificate sold yesterday by a certain bookstore [#permalink]

Show Tags

08 Oct 2012, 02:15

1

This post received KUDOS

Let x be $10 Certificate & y be $50 Certificate, We need to find value of x+y=? ST1: Insufficient: SInce x<10, x can take any value from 0 to 9 & Since y >5, y can take any value greater than 5. So x+y will have multiple values. ST2: Insufficient: Given: 10x+50y =460, x>5, So multiple combination can satisfy this equation, for example (x,y) = (9,1), (8,6),..... 1+2: Still insufficient for above reason in ST2. Hence answer E.
_________________

Regards SD ----------------------------- Press Kudos if you like my post. Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

Re: Each gift certificate sold yesterday by a certain bookstore [#permalink]

Show Tags

08 Oct 2012, 02:26

1

This post received KUDOS

Let the no of $10 & $50 certificates is x & y respectively Question is x+y=? Given y>5 Note:- x & y can only take positive integer values 1) x<10 ---> Not sufficient 2) 10x + 50y = 460 ----> x + 5y = 46 Possible values of (x & y) are (16,6), (11,7), (6,8) ,(1,9) --->Insufficient 1+2) Given x<10 & y>5 , possible pairs are (6,8) ,(1,9) ----> No unique value -->Insufficient Answer E
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS. Kudos always maximizes GMATCLUB worth-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Each gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore?

(1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. (2) The total cost of gift certificates sold yesterday by the bookstore was $460.

let x be the nos of 10$ copies and y be nos of 50$ copies so x10 + y50 = some value stem also says y>5

Question x+y = ?

Statement 1/ x<10 (from stem y>5) many combinations are possible for x+y so NS Statment 2/ x10 + y50 = 460

As y> 5 then we can find out the possible values for x

x10 + 300 = 460 ............ when y = 6 then x=16 x10 + 350 = 460 ................. y=7 then x=11 x10 + 400 = 460..................y=8 then x=6 x10 + 450 = 460 .............y=9 then x=1

on solving above we can get x = 16,11,6,1 Nt sufficient to calcuate value of x+y

Combined we know y>5 and x <10 even then we have 2 value pairs for (x,y) = (6,8) (1,9)

Re: Each gift certificate sold yesterday by a certain bookstore [#permalink]

Show Tags

09 Oct 2012, 08:30

1

This post received KUDOS

Each gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore?

(1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. (2) The total cost of gift certificates sold yesterday by the bookstore was $460.

Statement 1: Insufficient We don't know the exact number of gift certificates sold, there could be more than one solution. Statement 2: Insufficient Same as in the statement 1, there could be one 10$ gift certificate and nine 50$ gift certificates...or sixteen 10$ gift certificates and six 50$ gift certificates.

Together statements don't provide the solution, so the answer is E.
_________________

Re: Each gift certificate sold yesterday by a certain bookstore [#permalink]

Show Tags

10 Jan 2014, 07:36

Bunuel wrote:

Each gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore?

(1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. (2) The total cost of gift certificates sold yesterday by the bookstore was $460.

Practice Questions Question: 57 Page: 279 Difficulty: 600

We are given the equation: 10*x + 50*y = Total Sales, by the stem. Also, we're given the restriction y > 5.

1) Gives us the restriction x < 10, but as we have absolutely no idea what total sales are, theoretically we have almost infinite possibilities (and even with TS it would be insufficient). Insufficient. 2) Solves one of our three unknowns, so clearly insufficient..

If we combine the two, the only thing we know is that 10*10 + 5*50 is not a possible value (neither are certain other combinations of x and y), and that the total sales = 460.. So, 10*x + 5*y = 460.. This means that the difference could be more/less than 110 (because of 10*10 + 5*50 = 110 not being a possible combination) .. And we could combine x and y in many different ways to arrive at 110, for instance 11x's and no y's, or 2y's and 1 x... And even at that, we still only have a vague, non-definite relation between X and Y, even though we have solved for Total Sales.

So all in all, the stem + the two statements really only give us a weak restriction for X and Y, and solve for total sales.. So we still have 2 unknowns that we need to solve for, and thus the info is insufficient..

Re: Each gift certificate sold yesterday by a certain bookstore [#permalink]

Show Tags

22 Feb 2015, 10:43

Hi BB. You are doing great job. Salute. Is this question really 700 level? OG is said to be in increasing difficulty order so how can Q.57 be level 700 question?

Hi BB. You are doing great job. Salute. Is this question really 700 level? OG is said to be in increasing difficulty order so how can Q.57 be level 700 question?

As for the difficulty level of this question: it's calculated based on the Timer (check the original post) and according to sessions of 356 users, it is a 700 question.
_________________

Re: Each gift certificate sold yesterday by a certain bookstore [#permalink]

Show Tags

20 Jun 2017, 05:55

Bunuel wrote:

Each gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore?

(1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. (2) The total cost of gift certificates sold yesterday by the bookstore was $460.

Practice Questions Question: 57 Page: 279 Difficulty: 600

Statement 1: It doesn't provide any useful information on its own to solve the problem. Knowing fewer than 10 certificates of cost $10 is not enough to answer the problem. Statement 2: We can have 8 number of $50 and 6 number of $10 or we can have 9 number of $50 and 1 number of $10.

Combining both, we don't get a unique solution,we still have 2 valid choices. So the answer is E

Each gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore?

(1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each. (2) The total cost of gift certificates sold yesterday by the bookstore was $460.

We can let x = the number of $10 gift certificates and y = the number of $50 gift certificates.

Thus, we know that y > 5.

We need to determine the value of x + y.

Statement One Alone:

Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each.

Using the information in statement one, we know that x < 10.

Without knowing the exact values of x and y, statement one alone is not sufficient to answer the question.

Statement Two Alone:

The total cost of gift certificates sold yesterday by the bookstore was $460.

We can create the following equation:

10x + 50y = 460

x + 5y = 46

We see that y could be 8 and x could be 6, or y could be 9 and x could be 1. In one case, x + y is 14, and in the other, x + y is 10. Therefore, we do not have a definitive value for x + y. Statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using the given information, we see that:

y > 5

x < 10

x + 5y = 46

Furthermore, x and y are integers. We can substitute integer values for y (as long as it satisfies the first inequality) and check whether these values will also satisfy the other inequality and equation. For example:

If y = 6, then x = 16 (using the equation x + 5y = 46). But, then x is not less than 10, so y can’t be 6.

If y = 7, then x = 11. Again, x is not less than 10, so y can’t be 7.

If y = 8, then x = 6. We see that x is less than 10. So y can be 8 and x will be 6.

If y = 9, then x = 1. We see that x is less than 10, so y can be 9 and x will be 1.

However, we have two different values each for x and y, adding up to different values. Both statements together still are not sufficient to answer the question.

Answer: E
_________________

Jeffery Miller Head of GMAT Instruction

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions

We're told that Each gift certificate sold yesterday cost either $10 or $50 and that the bookstore sold MORE than 5 gift certificates that cost $50 each. We're asked for the total number of gift certificates sold yesterday by the bookstore. This question can be solved by TESTing VALUES.

1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each.

Fact 1 tells us that there could be from 0-10 $10 certificates and 6 or more $50 certificates, but we don't know the TOTAL certificates sold. Fact 1 is INSUFFICIENT

2) The total cost of gift certificates sold yesterday by the bookstore was $460.

IF... 8 $50 certificates and 6 $10 certificates were sold, then the answer to the question is 14. 9 $50 certificates and 1 $10 certificates were sold, then the answer to the question is 10. Fact 2 is INSUFFICIENT

Combined, we already have two TESTs that 'fit' both Facts and provide different results: 8 $50 certificates and 6 $10 certificates were sold, then the answer to the question is 14. 9 $50 certificates and 1 $10 certificates were sold, then the answer to the question is 10. Combined, INSUFFICIENT