The following table shows the number of males (M) and females (F) (in…
2023
The following table shows the number of males (M) and females (F) (in thousands) in Towns X and Y during the five years from 2018 to 2022. Based on the data in the table:
Year wise numbers of Males and Females in two Towns (in thousands)
Year | Town X — number of males | Town X — number of females | Town Y — number of males | Town Y — number of females |
|---|---|---|---|---|
2018 | 50 | 49 | 53 | 50 |
2019 | 52 | 49 | 54 | 52 |
2020 | 55 | 52 | 55 | 54 |
2021 | 53 | 53 | 58 | 56 |
2022 | 55 | 52 | 62 | 55 |
In which of the following pairs of years, the difference in the number of males and females is maximum for town Y and minimum for Town X respectively?
Answer: C. 2022 and 2021 — ConceptFor a comparison of two groups in the same year, use the absolute difference |M − F|. To identify a maximum or minimum, compute this difference for…
- A.
2018 and 2021
- B.
2022 and 2018
- C.
2022 and 2021
- D.
2020 and 2022
Show answer & explanation
Correct answer: C
Concept
For a comparison of two groups in the same year, use the absolute difference |M − F|. To identify a maximum or minimum, compute this difference for every relevant year and compare the resulting values.
Application
Town Y differences from 2018 to 2022 are |53 − 50| = 3, |54 − 52| = 2, |55 − 54| = 1, |58 − 56| = 2, and |62 − 55| = 7 thousand.
The largest Town Y difference is 7 thousand in 2022.
Town X differences from 2018 to 2022 are |50 − 49| = 1, |52 − 49| = 3, |55 − 52| = 3, |53 − 53| = 0, and |55 − 52| = 3 thousand.
The smallest Town X difference is 0 thousand in 2021.
Cross-check
The values 7 and 0 are respectively the highest and lowest entries in the two difference lists, which independently confirms the selected years.
Result
Therefore, the required pair is 2022 and 2021.