Friday, 19 June 2015

Now let's solve questions with this trick

Best trick that I use in exams myself is by finding the efficiency of workers in percent. If A can do a job in 2 days then he can do 50% in a day. 
Number of days
required to complete the work                                            
Work that can be done per dayEfficiency in Percent
n1/n100/n
11/1100%
21/250%
31/333.33%
41/425%
51/520%
61/616.66%
71/714.28%
81/812.5%
91/911.11%
101/1010%
111/119.09%




Question - A take 5 days to complete a job and B takes 10 days to complete the same job. In how much time they will complete the job together ?

Solution - A's efficiency = 20%, B's efficiency = 10%. If they work together they can do 30% of the job in a day. To complete the job they need 3.33 days. 



Question - A is twice as efficient as B and can complete a job 30 days before B. In how much they can complete the job together ?

Solution - Let efficiency percentage as x
A's efficiency = 2x and B's efficiency = x
A is twice efficient and can complete the job 30 days before B. So,
A can complete the job in 30 days and B can complete the job in 60 days

A's efficiency = 1/30 = 3.33%
B's efficiency = 1/60 = 1.66%    
Both can do 5% ( 3.33%  + 1.66% ) of the job in 1 day.
So the can complete the whole job in 20 days (100/5)



Question - A tank can be filled in 20 minutes. There is a leakage which can empty it in 60 minutes. In how many minutes tank can be filled?

Solution -
Method 1
⇒ Efficiency of filling pipe = 20 minutes = 1/3 hour = 300%
⇒ Efficiency of leakage = 60 minutes = 100%

We need to deduct efficiency of leakage so final efficiency is 200%. We are taking 100% = 1 Hour as base so answer is 30 minutes.

Update - 09-09-2013 ( As Shobhna and Aswin are facing problem in solving this question, I am solving this question with second method which is also very easy, hope this will make the solution lot easier.)

Method 2
⇒ Efficiency of filling pipe = 100/20 = 5%
⇒ Efficiency of leakage pipe = 100/60 = 1.66%
⇒ Net filling efficiency = 3.33%
So tank can be filled in = 100/3.33% = 30 minutes

You can change the base to minutes or even seconds.

You can solve every time and work question with this trick. In above examples I wrote even simple calculations. While in exams you can do these calculations mentally and save lots of time.  

You can find more tricks like this in quantitative aptitude section.

Comment below in case of any query, I promise to reply within 24 hours.

Update 09 October 2013 - Question requested by Chitra Salin

Question - 4 men and 6 women working together can complete the work within 10 days. 3 men and 7 women working together will complete the same work within 8 days. In how many days 10 women will complete this work ?
Solution - Let number of men =x, number of women = y

⇒ Efficiency of 4 men and 6 women = 100/10 = 10%
⇒ so, 4x+6y = 10
Above equation means 4 men and 6 women can do 10% of a the job in one day.

⇒ Efficiency of 3 men and 7 women = 100/8 = 12.5%
so, 3x+7y = 12.5

By solving both equations we get, x = -0.5 and y = 2

⇒ Efficiency of 1 woman(y) = 2% per day
⇒ Efficiency of 10 women per day = 20%
So 10 women can complete the job in 100/20 = 5 days

Update 11-11-2013 - Question requested by Praisy

Question - A and B together can complete a task in 20 days. B and C together can complete the same task in 30 days. A and C together can complete the same task in 30 days. What is the respective ratio of the number of days taken by A when completing the same task alone to the number of days taken by C when completing the same task alone?

Solution - 
⇒ Efficiency of A and B = 1/20 per day = 5% per day ________________1
⇒ Efficiency of B and C = 1/30 per day = 3.33% per day______________2
⇒ Efficiency of C and A = 1/30 per day = 3.33% per day______________3

Taking equation 2 and 3 together
⇒ B + C = 3.33% and C + A = 3.33%
⇒ C and 3.33% will be removed. Hence A = B
⇒ Efficiency of A = B = 5%/2 = 2.5% = 1/40
⇒ Efficiency of C = 3.33% - 2.5% = 0.833% = 1/120
⇒ A can do the job in 40 days and C can do the job in 120 days he they work alone.
⇒  Ratio of number of days in which A and C can complete the job 1:3.

Maths ShortCuts for Bank Exams



Maths ShortCuts Download

SBI PO Preliminary Exam Model Papaer

Tuesday, 16 June 2015

Differences in ISO 9001 and the CMM

The CMM is a way to communicate capabilities. The ISO is a way to communicate the process. 
CMM is a very specific way of classifying an organization's software development methods but, ISO procedures describe a definite development and process but give no indication of the likely quality of the designs or whether multiple software efforts are likely to produce software of similar quality. 



  • Some issues in ISO 9001 are not covered in CMM, and vice versa, The levels of detail differ 
  • The clause such as customer-supplied products and handling, packaging, preservation and delivery as stated in the ISO 9001 has no strong relationship to CMM KPAs 
  • The biggest difference is the emphasis in CMM on continuous process improvement. ISO only addresses minimum criteria for an acceptable quality system. 
  • The clause in ISO 9001 that addresses in CMM in a completely distributed fashion is servicing. There is significant debate about the exact relationships to CMM for corrective and preventive action and statistical techniques 
  • CMM focuses strictly on software, while ISO 9001 includes hardware, software, processed materials and services. 
  • For both CMM and ISO 9001, the bottom line is “Say what you do; do what you say.” 
  • Every Level 2 KPA is strongly related to ISO 9001. Every KPA is at least weakly related to ISO 9001. A CMM Level-1 organization can be ISO 9001 certified; that organization would have significant Level-2 process strengths and noticeable Level-3 strengths. 
  • Given a reasonable implementation of the software process, an ISO 9001 certified organization should be at least close to CMM Level-2. 
  • Even a Level-3 organization would need to ensure that delivery and installation are addressed, but even a Level-2 organization would have comparatively little difficulty in obtaining ISO 9001 certification.

Difference between ISO 9000 and CMM(ISO 9000 VS CMM)

ISO 900(INTERNATIONAL STANDARD ORGANISATION)
CMM (CABABILITY MATURITY MODEL)
It applies to any type of industry .
CMM is specially developed for software industry
ISO 9000 addresses corporate business process
CMM focuses on the software Engineering activities.
ISO 9000 specifies minimum requirement.
CMM gets nto technical aspect of software engineering.
ISO 9000 restricts itself to what is required.
It suggests how to fulfill the requirements.
ISO 9000 provides pass or fail criteria.
It provides grade for process maturity.
ISO 9000 has no levels.
CMM has  5 levels:
       Initial
       Repeatable
       Defined
      Managed
       Optimization

ISO 9000 does not specifies sequence of steps required to establish the quality system.
It reconnects the mechanism for step by step progress through its successive maturity levels.
Certain process elements that are in ISO are not included in CMM like:
1.       Contract management
2.       Purchase and customer supplied components
3.       Personal issue management
4.       Packaging ,delivery, and installation management
Similarly other process in CMM are not included in ISO 9000
1.       Project tracking
2.       Process and technology change management
3.       Intergroup coordinating to meet customer’s requirements
4.       Organization level process focus, process development and integrated management.