It is currently 17 Nov 2017, 12:44

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# When a player in a certain game tossed a coin a number of ti

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 22 Sep 2005
Posts: 278

Kudos [?]: 244 [3], given: 1

When a player in a certain game tossed a coin a number of ti [#permalink]

### Show Tags

15 Jan 2008, 11:01
3
KUDOS
3
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

74% (00:56) correct 26% (01:19) wrong based on 324 sessions

### HideShow timer Statistics

When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?

(1) The player tossed the coin 24 times.
(2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

OPEN DISCUSSION OF THIS QUESTION IS HERE: when-a-player-in-a-certain-game-tossed-a-coin-a-number-of-144143.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 24 Feb 2014, 06:26, edited 1 time in total.
Renamed the topic, edited the question and added the OA.

Kudos [?]: 244 [3], given: 1

CEO
Joined: 29 Mar 2007
Posts: 2553

Kudos [?]: 527 [1], given: 0

### Show Tags

15 Jan 2008, 11:04
1
KUDOS
1
This post was
BOOKMARKED
netcaesar wrote:
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

1:2x+4=24 --> 2x=20 --> x=10 so he tossed the heads x+4--> 14 times.

2: we are given another ratio but this doesnt change anything.

x + 3(x+4)=52 --> 4x+12=52 --> 4x=40 --> x=10 again 14 times is the answer.

D

Kudos [?]: 527 [1], given: 0

SVP
Joined: 28 Dec 2005
Posts: 1543

Kudos [?]: 185 [0], given: 2

### Show Tags

27 Jan 2008, 17:37
D

x+y=24 and x=y+4, where x=# heads, y=# tails

stat 1: y+4+y=24 --> y=10, x=14. suff.

stat 2: 3x+y=52 --> 3y+12+y=52 --> 4y=40 -->y=10, x=14. suff.

Kudos [?]: 185 [0], given: 2

Director
Joined: 03 Sep 2006
Posts: 865

Kudos [?]: 1104 [0], given: 33

### Show Tags

27 Jan 2008, 22:40
netcaesar wrote:
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

T+(4+T) = 24

T = 10

H = (4+T) = 14

from (ii)

T +3*(4+T) = 52

T = 10

H = 14

Kudos [?]: 1104 [0], given: 33

Manager
Joined: 27 Oct 2008
Posts: 185

Kudos [?]: 166 [0], given: 3

### Show Tags

27 Sep 2009, 06:46
1
This post was
BOOKMARKED
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

Soln:
1) The player tossed the coin 24 times
Total number of heads = H
Total number of tails = T
H + T = 24
H - T = 4
Solving both equations we get H = 14
Statement 1 alone is sufficient.

2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.
Total number of heads = H
Total number of tails = T
3H + T = 52
H - T = 4
Solving these two equations we get H = 14
Statement 2 alone is sufficient.

Thus D.

Kudos [?]: 166 [0], given: 3

Senior Manager
Joined: 22 Dec 2009
Posts: 356

Kudos [?]: 418 [0], given: 47

### Show Tags

14 Feb 2010, 14:46
netcaesar wrote:
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

let total of tosses be n
no of tails T
no of Heads H = T + 4
Also n = H + T = 2T + 4

S1: n = 24... Therefore SUFF.... as 24 = 2T + 4 gives T = 10...& H = 14

S2: 3H + T = 52 ... 3T + 12 + T = 52 ...gives T = 10 & H = 14. SUFF...

D..
_________________

Cheers!
JT...........
If u like my post..... payback in Kudos!!

|For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

~~Better Burn Out... Than Fade Away~~

Kudos [?]: 418 [0], given: 47

Manager
Joined: 26 Nov 2009
Posts: 162

Kudos [?]: 62 [0], given: 5

### Show Tags

14 Feb 2010, 22:59
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

given for certain number of times 4 more heads than tails

1) if coin is tossed 24 times then h=14 and t=10

so 1 is sufficient

2)3x+x-4=52
4x=56
so x=14

so my choice is D

Kudos [?]: 62 [0], given: 5

Senior Manager
Joined: 01 Feb 2010
Posts: 251

Kudos [?]: 62 [0], given: 2

### Show Tags

14 Feb 2010, 23:17
netcaesar wrote:
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?
1) The player tossed the coin 24 times
2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.

x - Number of tails

1) x+x+4 = 24 can solve for x. Sufficient
2) 3(x+4) + x = 52 can solve for x. Sufficient

Hence D.

Is this really a 700 - plus questions as mentioned by the tag???

Kudos [?]: 62 [0], given: 2

Manager
Joined: 19 Sep 2010
Posts: 172

Kudos [?]: 99 [0], given: 18

### Show Tags

16 Oct 2010, 05:31
probability sucks...don't have much command on it...

Kudos [?]: 99 [0], given: 18

Manager
Joined: 22 Aug 2013
Posts: 99

Kudos [?]: 38 [0], given: 60

Schools: ISB '15
Re: When a player in a certain game tossed a coin a number of [#permalink]

### Show Tags

24 Feb 2014, 06:05
Hi,
_________________

Veritas Prep - 650
MGMAT 1 590
MGMAT 2 640 (V48/Q31)

Kudos [?]: 38 [0], given: 60

Math Expert
Joined: 02 Sep 2009
Posts: 42248

Kudos [?]: 132507 [0], given: 12323

Re: When a player in a certain game tossed a coin a number of ti [#permalink]

### Show Tags

24 Feb 2014, 06:27
Expert's post
3
This post was
BOOKMARKED
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?

Given: H-4=T.
Question: T=?

(1) The player tossed the coin 24 times. H+(H-4)=24. We can find H. Sufficient.

(2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points. 3H+1*(H-4)=52. The same here: we can find H. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: when-a-player-in-a-certain-game-tossed-a-coin-a-number-of-144143.html
_________________

Kudos [?]: 132507 [0], given: 12323

Re: When a player in a certain game tossed a coin a number of ti   [#permalink] 24 Feb 2014, 06:27
Display posts from previous: Sort by