Paper 1 · Data Interpretation
UGC NET June 2023 (19.06.2023) Shift-II
Passage
The following table shows the number of votes polled in a college election over five years from 2018 to 2022, along with the percentage of valid votes and the ratio of valid votes of males to females. Known figures: in 2018 the male-to-female valid-vote ratio is 5:3; in 2019 the votes polled are 1000 with a male-to-female ratio 5:4; in 2020 the votes polled are 2000 with 38 percent valid; in 2021 the valid percentage is 60 with a male-to-female ratio 7:5; in 2022 the votes polled are 5000 with 40 percent valid. Some values are missing and are to be calculated if required. Based on the data, answer the questions that follow.
In 2018, if the ratio of the number of valid votes was 5:4, then the number of valid votes by females in 2018 is what percent less than the number of votes polled in the same year?
A60
B30
C35
D70 ✓ Correct
Correct answer: (D) 70 — The female valid votes are 70 percent less than the votes polled, so the answer is 70.
Explanation
★The female valid votes are 70 percent less than the votes polled, so the answer is 70.
★Let the votes polled in 2018 be 5x and the valid votes be 4x.
★The 2018 male-to-female ratio is 5 to 3, so females are 3 of 8 parts.
★So the female valid votes are 4x times 3 over 8, which is 3x over 2.
★The shortfall from the votes polled is 5x minus 3x over 2, which is 7x over 2.
★As a percentage of 5x this is 7x over 2 divided by 5x, times 100.
★That equals 70 percent.
Want more like this? Create a free account to practise a full test, track your progress, and get spaced-repetition review.
Shared by Mcqkart · via Mcqkart.in