NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 09:26 It is currently 25 Apr 2024, 09:26
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

In a certain lottery drawing, two balls are selected at random from a

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92914
Own Kudos [?]: 618961 [3]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
In a certain lottery drawing, two balls are selected at random from a [#permalink] New post   13 Jun 2019, 00:18
3
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

68% (02:05) correct 32% (02:06) wrong based on 91 sessions
Hide Show timer Statistics
In a certain lottery drawing, two balls are selected at random from a container with 100 balls, numbered from 1 to 100, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?

(A) $9.85 x 10^6
(B) $9.90 x 10^6
(C) $1.00 x 10^7
(D) $1.05 x 10^7
(E) $9.90 x 10^7
ShowHide Answer
Official Answer
B
User avatar
P
Lampard42
Senior Manager
Senior Manager
Joined: 22 Nov 2018
Posts: 446
Own Kudos [?]: 492 [0]
Given Kudos: 292
Location: India
GMAT 1: 640 Q45 V35
GMAT 2: 740 Q49 V41
Send PM
GMAT ToolKit User
Re: In a certain lottery drawing, two balls are selected at random from a [#permalink] New post   13 Jun 2019, 01:01
Bunuel wrote:
In a certain lottery drawing, two balls are selected at random from a container with 100 balls, numbered from 1 to 100, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?

(A) $9.85 x 10^6
(B) $9.90 x 10^6
(C) $1.00 x 10^7
(D) $1.05 x 10^7
(E) $9.90 x 10^7


Since 10^6 is the minimum that is part of the answer choices one of the numbers must be 100; So X*100*1000 will be one of the answer choices; I back worked from the answers and only Option B is correct 99*100*1000=9.9*10^6. IMO B
User avatar
L
CareerGeek
VP
VP
Joined: 20 Jul 2017
Posts: 1300
Own Kudos [?]: 3450 [3]
Given Kudos: 162
Location: India
Concentration: Entrepreneurship, Marketing
GMAT 1: 690 Q51 V30
WE:Education (Education)
Send PM
Re: In a certain lottery drawing, two balls are selected at random from a [#permalink] New post   13 Jun 2019, 06:15
2
Kudos
1
Bookmarks
Bunuel wrote:
In a certain lottery drawing, two balls are selected at random from a container with 100 balls, numbered from 1 to 100, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?

(A) $9.85 x 10^6
(B) $9.90 x 10^6
(C) $1.00 x 10^7
(D) $1.05 x 10^7
(E) $9.90 x 10^7


The maximum prize value = 99*100*1000 = 9.9 x 10^6

So, Option B is possible

Note: Option A is NOT possible as $9.85 x 10^6 = 9850 x 1000 [9850 = 50*197, where 197 is a prime number outside the number range given]

IMO Option B

Pls Hit Kudos if you like the solution
User avatar
P
energetics
Senior Manager
Senior Manager
Joined: 05 Feb 2018
Posts: 312
Own Kudos [?]: 794 [0]
Given Kudos: 325
Send PM
Re: In a certain lottery drawing, two balls are selected at random from a [#permalink] New post   23 Jun 2019, 11:52
Choose 2 balls a, b numbered 1 to 100
a*b*10^3 = Total

Test C) a*b*10^3 = 1*10^7
a*b = 10^4 or 10,000; this is too big since it can't be made with a product of 100 and another 1 or 2 digit number (since presumably we cannot repeat 100).
Test B) a*b*10^3 = 9900*10^3
a*b = 9900
99*100 = 9900, this is our answer
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18761
Own Kudos [?]: 22052 [0]
Given Kudos: 283
Location: United States (CA)
Send PM
Re: In a certain lottery drawing, two balls are selected at random from a [#permalink] New post   23 Jun 2019, 19:32
Expert Reply
Bunuel wrote:
In a certain lottery drawing, two balls are selected at random from a container with 100 balls, numbered from 1 to 100, inclusive. If the winner of the lottery is awarded a cash prize in the amount of $1,000 times the product of the numbers on the two selected balls, which of the following is a possible amount of the cash prize given to the winner?

(A) $9.85 x 10^6
(B) $9.90 x 10^6
(C) $1.00 x 10^7
(D) $1.05 x 10^7
(E) $9.90 x 10^7


The smallest possible prize is:

1,000 x 1 x 2 = 2,000

The largest possible prize is:

1,000 x 100 x 99 = 99 x 100,000 = 99 x 10^5 = 9.9 x 10^6

Answer: B
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32675
Own Kudos [?]: 821 [0]
Given Kudos: 0
Send PM
Re: In a certain lottery drawing, two balls are selected at random from a [#permalink] New post   08 Mar 2024, 03:33
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.
GMAT Club Bot
gmatclubot
Re: In a certain lottery drawing, two balls are selected at random from a [#permalink]
08 Mar 2024, 03:33
Moderators:
Bunuel
Math Expert
92914 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions