Dear Reader, Below are three questions dealing with work efficiencies.
Question 1
Brilliant software company, Chennai has been doing an excellent business in the last four years. The company went on a recruitment spree from among the engineering colleges in and around Chennai. They recruited people from ECE, CSE, IT streams. All programmers are of equal respect. They receive equal salaries and perform equal load of work. Suppose 15 such programmers take 15 minutes to write 15 lines of code in total. How long will it take for 84 programmers to write 84 lines of code in total?
a) 84 minutes b)15 minutes c) 27 minutes d) 30 minutes
Answer : b) 15 minutes
Solution :
For such problems where efficiency of the workers are alike, we can use the below equation :
P1 x M1 / L1 = P2 x M2 / L2 ...(1)
In the above formula, P1 and P2 represent number of programmers in I and II scenarios respectively ; M1 and M2 minutes required for completion of work in I and II scenarios respectively and L1 and L2 represent number of lines of code in I and II scenarios respectively.
Given values : P1 = 15, L1 = 15, M1 = 15, P2 = 84, L2 = 84. We have to find M2
Applying given values in equation 1 we get,
15 X 15 / 15 = 84 X M2 / 84
Simplifying we get, M2 = 15 minutes which is our answer.
Question 2
One of the leading software companies recruited boys and girls from different engineering colleges.They were given training in software program writing for three weeks in the company’s fully equiped modern training centre.All of the employees developed similar skills , abilities and were paid equal salary. How many programmers would be required to write 48 lines of code in twice the time that would be consumed 12 programmers to write 12 lines of code ?
a) 12 b)24 c)15 d)10
Answer : b) 24 programmers
Solution :
Given Values : L1 = 48, P2 = 12 and L2 = 12
Also from question it is clear that time taken in scenario 1 will be twice that in scenario 2.
Therefore, M1 = 2M2
Substituting the values in our familiar equation (ref solution for question 1)
P1 X 2M2 / 48 = 12 X M2 / 12
P1/24 = 1
Or P1 = 24 programmers.
Question 3
M/s. Compaware software systems had a revenue of US $ 747 million during the last year. It was in 34th position among the leading software companies. The company wanted to improve its business position and ranking and hence recruited 600 programmers afresh and gave them intensive training in software code line writing. After the training was completed all the programmers attain similar level of expertise in writing of software code lines and hence they were paid similar salary. Supposing 108 programmers can write 108 lines of software code in 108 minutes, 72 programmers will write how many lines of software code in 72 minutes?
a) 108 b) 60 c) 72 d) 48
Answer : d) 48
Solution :
Given Values : P1 = 108, M1 = 108, L1 = 108, P2 = 72, M2 = 72
Applying these values in our familiar equation (ref solution of question 1) we get :
108 X 108 / 108 = 72 x 72 / L2
L2 = 72 x 72 / 108 = 48 lines