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 square root of the product of three distinct positive [#permalink]

Show Tags

08 Jun 2005, 18:48

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Please explain the soln.....

If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers?

(1) The largest number is 12. (2) The average (arithmetic mean) of the three numbers is 20/3

If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers?

(1) The largest number is 12. (2) The average (arithmetic mean) of the three numbers is 20/3

The answer is D

it's a time consuming problem
1)sufficient, XYZ = Z*Z => XY=Z=12
2) sufficient, intellegent number picking, X + Y = 20 -Z = 20 -XY
X=2 or 6
Y=6 or 2

The answer is D. it's a time consuming problem 1)sufficient, XYZ = Z*Z => XY=Z=12 2) sufficient, intellegent number picking, X + Y = 20 -Z = 20 -XY X=2 or 6 Y=6 or 2

from i, how do you know that the smaller numbers are 6 and 2? those numbers could be 4 and 3.

I will go with D
From the stem we get n1*n2 = n3, where n1, n2 & n3 are the distinct numbers, so in order to n1*n2 we should either know n1 & n2 or n3.

From statement 1 we know n3, so n1*n2 has to be 12
From statement 2,
n1+n2+n3/3 = 20/3
n1+n2+(n1*n2) = 20, since we have eliminated n3 from the equation we can use some numbers to satisfy the equation.

If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers?

(1) The largest number is 12. (2) The average (arithmetic mean) of the three numbers is 20/3

From question:
sqrt(xyz) = x
xyz = x^2
yz=x

From statement(1):
x=12
thus, we know yz
-> sufficient

From statement(2)
xyz/3 = 20/3
xyz = 20
x = 20/yz
combining with above statement (yz=x):
yz=20/(yz)
(yz)^2 = 20
-> sufficient

If the square root of the product of three distinct positive integers is equal to the largest of the three numbers, what is the product of the two smaller numbers?

(1) The largest number is 12. (2) The average (arithmetic mean) of the three numbers is 20/3

My answer is A.

Let z be the largest number. Then from question we get Sqrt(xyz) = z
or xyz = z^2
or xy = z
since z = 12, xy = 12 hence statement 1 is sufficient.

Statement 2 tells that (x+y+z)/2 = 20/3
since z = xy
we get x+y+xy = 20
We may not be able compute the values for x and y. Hence statement 2 alone is not sufficient. Hence my answer is A. Let me know, if I am making a mistake somewhere.