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Aptitude - Average - Discussion

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"To err is human; to forgive, divine."
- Alexander Pope
1. 

In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

[A]. 6.25[B]. 6.5
[C]. 6.75[D]. 7

Answer: Option A

Explanation:

Required run rate = 282 - (3.2 x 10) = 250    = 6.25
40 40


Vinod said: (Fri, Jul 16, 2010 06:51:27 PM)    
 
Why we are writing 3.2*10 ?

Dilepkumar said: (Tue, Jul 20, 2010 11:58:23 PM)    
 
They asking only remainig 40 over run rate. So why use of first 10 over?

Kavita said: (Wed, Jul 21, 2010 07:15:00 AM)    
 
How do we arrive at the solution.? What is the logic?

Pratik Mehta said: (Thu, Jul 22, 2010 01:19:55 AM)    
 
@Kavita : Run rate * overs = runs scored.

So now Run rate = Runs scored/required / overs.

There 282 - (3.2 x 10) = Runs required

Remaining overs are 40.

Ranjith said: (Tue, Aug 17, 2010 11:27:27 AM)    
 
Why do we minus 282-(3.2*10)...?

Muhundhan said: (Wed, Aug 18, 2010 05:33:33 AM)    
 
So we calculate the runs in the first 10 overs
first 10 overs they got 32 runs
remaining 40 overs they got 250
250 / 40 =6.25

Abc said: (Fri, Sep 10, 2010 06:39:13 AM)    
 
Thanks muhundhan thats great.

Swetha said: (Thu, Dec 2, 2010 03:10:58 AM)    
 
Why are you minus that 282 runs?

Tarun said: (Mon, Dec 13, 2010 09:10:35 AM)    
 
282 are not minus,here ((3.2(current run rate)*10(overs))=32runs)
are subtracted from total required runs,so 282-32=250 are the runs required in other 40 overs,
so required run rate=
250/40=6.25 runs per over.

Avinsh said: (Tue, Dec 28, 2010 03:42:28 AM)    
 
How to solve given problem:.

Rajana traveled a journey of 500km with speed of 50km/hr for 5 liter and traveled withe speed of 60km/hr for 5hr and then is last 5hr covers a distance of 700km and after taking rest of 3 hr again traveled. For 2 hr by covering a distance 120km find average of speed.

Nikhil said: (Thu, Jan 6, 2011 04:39:19 AM)    
 
Why you write 283- (3. 2*10)?

Deepa said: (Thu, Jan 13, 2011 02:31:30 PM)    
 
@nikhil

First we have to find no of runs scored in first 10 overs, to calculate runs scored in 10 overs we have to do 3.2*10 (means runsscored=runrate*no of overs).we get 32runs which means they have scored 32 runs in first 10 overs. so 283-32=250 runs should be scored in next 40 overs.to find the runrate, runrate=250/40 (we have to divide no of required runs by no of overs left)

Swathy said: (Thu, Jan 20, 2011 07:30:23 AM)    
 
Excellent deepa and muhunthan.

Srinivas Reddy said: (Thu, Feb 3, 2011 07:05:06 AM)    
 
First we calculate the total runs done in 10 overs by using run rate ie 10*3.2 (runs per over) = 32.

Remaining runs is 283-32 = 250.

The run rate required to achieve the target is 250 (required runs to do) /40 (remaining overs).

Gdged said: (Tue, Feb 15, 2011 11:52:26 AM)    
 
Why we are using this formula?

Vinoth M said: (Thu, Feb 17, 2011 06:59:31 AM)    
 
Formula is, average=sum of runs in each overs(s)/number of overs(n)
given n=10,average=3.2
Then,substitute values in formula,
->3.2=s/10
->s=32
in 10 overs total run is 32
target=282
Then in 40 overs thy need 250 runs
here n=40,s=250
percentage=s/n=250/40=6.25
So ans=6.25

Kalaivani said: (Mon, Apr 25, 2011 02:35:20 PM)    
 
Why you write 283- (3. 2*10)?

Sathi said: (Fri, Jul 1, 2011 09:52:10 PM)    
 
@kalaivani,

We want to calculate how many runs needed for remaining 40 overs to find the run rate for remaining overs.

283 is total score req for 40 overs,10*3.2=32 runs scored in the first over

Nayan Das said: (Sat, Jul 2, 2011 02:42:08 PM)    
 
Very good explanation vinoth m, thanks.

Tanvir said: (Sat, Jul 16, 2011 08:01:35 AM)    
 
It may be like this:
Let the required run rate be x.

Then Run in 40 overs = 40x (Becoz run rate = run per over)
Run in 10 overs= 10x3.2 (It is given that run rate of 10 overs is 3.2)
We know we required to calculate the run rate for 282 runs.

Then according to question:
3.2x10+40x=282
32+40x=282
40x=250
x=250/40=6.25 ans

Isha Panchal said: (Sat, Aug 20, 2011 01:17:05 PM)    
 
Muhundhan sir thanks.

Nithinvino said: (Mon, Sep 5, 2011 08:27:43 PM)    
 
Thanks muhundan.

Tintu Mathew said: (Wed, Sep 14, 2011 03:22:54 PM)    
 
The simple method is

total runs takes in 10 over=3.2*10=32
we know dat target is 282
so
32+40*x=282
from this we get required run rate.

Aymen said: (Tue, Sep 27, 2011 03:34:31 PM)    
 
Muhundan you are really very helpful.

How should I solve this.

The average of three numbers is 8, that of the first two is 11. Find the third number?plz help me.

Gautam said: (Tue, Sep 27, 2011 08:25:29 PM)    
 
THE AVERAGE OF THREE NO.IS
X+Y+Z/3=8
THE SUM OF FIRST TWO NO. IS 11,SO
(X+Y)+Z/3=8
11+Z/3=8
BY TRANSPOSITION
11+Z=3*8
11+Z=24
Z=24-11
Z=13
Z

Arti said: (Mon, Oct 3, 2011 01:25:32 PM)    
 
Thanks muhundhan thats great.

Radhika said: (Thu, Nov 3, 2011 10:26:29 PM)    
 
Is there any formula?

Jay said: (Fri, Nov 25, 2011 09:01:18 PM)    
 
Thank you very much muhundhan. Simple answer to understand.

Dkb said: (Wed, Jan 4, 2012 05:28:26 PM)    
 
Pratik and Muhundhan Thanks for simplifying the problem.

Maha said: (Tue, Jan 17, 2012 01:46:14 PM)    
 
Thanks vignesh mahesh.

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