The following table presents the details about the number of software…
2023
The following table presents the details about the number of software development projects handled by two software companies A and B over five years from 2016 to 2020. Both the companies are engaged in handling both Government Projects (GPs) as well as Non-Governmental Projects (NGPs). Based on the data in the table, answer the question that follows.
Year-wise handling of Projects
Year | Software Company A | Software Company B |
|---|---|---|
2016 | 180 | 130 |
2017 | 230 | 320 |
2018 | 360 | 210 |
2019 | 250 | 190 |
2020 | 300 | 350 |
If the average number of NGPs handled by the company B in 2016 and 2017 together is 127, then what is the total number of GPs handled by the same Company in 2016 and 2017 together?
Answer: D. 196 — CONCEPTFor a collection split into two categories, Total = Category 1 + Category 2. If the average over n periods is known, the category total over those…
- A.
204
- B.
188
- C.
192
- D.
196
Show answer & explanation
Correct answer: D
CONCEPT
For a collection split into two categories, Total = Category 1 + Category 2. If the average over n periods is known, the category total over those periods is Average × n.
APPLICATION
Company B handled 130 + 320 = 450 projects in 2016 and 2017 together.
The total number of NGPs over the two years is 127 × 2 = 254.
Therefore, the total number of GPs is 450 − 254 = 196.
CROSS-CHECK
Adding the two categories gives 196 + 254 = 450, which matches Company B’s two-year total. Also, 254 ÷ 2 = 127, which reproduces the stated NGP average.
Hence, the required total number of GPs is 196.