Study the following table carefully and answer the questions given below.…
2024
Study the following table carefully and answer the questions given below. Number of workers in the given six shifts of various factories (Number in thousands).
Shift | Factory L | Factory M | Factory O | Factory P |
|---|---|---|---|---|
Shift 1 | 7.5 | 8 | 7.59 | 8.32 |
Shift 2 | 6.38 | 7 | 6.5 | 7.5 |
Shift 3 | 6.5 | 7.28 | 6.15 | 7.24 |
Shift 4 | 7.8 | 5.25 | 6 | 6.5 |
11 P.M – 3 A.M (Shift 5) | 5.5 | 5 | 5.5 | 5.7 |
Shift 6 | 4.2 | 3 | 3.5 | 2.15 |
What is the ratio of the total number of workers from factories L and M working in the shift of 11 P.M to 3 A.M and the total number of workers working in the same shift from factories O and P?
- A.
13 : 14
- B.
15 : 16
- C.
13 : 15
- D.
15 : 17
Show answer & explanation
Correct answer: B
Concept: For a data-interpretation table broken down by shift and factory, comparing two groups for one specific shift means extracting that shift's row, summing the relevant factories for each group, and expressing the two totals as a ratio.
Application:
Read Factory L and Factory M's entries for the 11 P.M to 3 A.M shift from the table: 5.5 and 5 (in thousands).
Add them: 5.5 + 5 = 10.5 thousand, i.e., 10,500 workers.
Read Factory O and Factory P's entries for the same shift from the table: 5.5 and 5.7 (in thousands).
Add them: 5.5 + 5.7 = 11.2 thousand, i.e., 11,200 workers.
Form the ratio and simplify: 10,500 : 11,200 = 105 : 112 = 15 : 16 (dividing both terms by 700).
Cross-check: Scaling 15 : 16 back up by 700 gives 10,500 : 11,200, which matches the two shift totals computed above — confirming the required ratio is 15 : 16.