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Question

The following table shows the number of employees working in five different companies A-E in December, 2021 along with the percentage distribution of Science, Commerce and Arts Graduates among them. Based on the data in the table, answer the questions that follow.

Company-wise Details of Employees

Company

Number of 

Employees

Science (%)Commerce (%)Arts (%)
A2100 32%           -     -
B1400    -31%40%
C    -30%30%    -
D     -     -40%20%
E     -35%50%   -

Note: (1) Employees of all five companies can be categorised only in three types of Graduates: Science, Commerce and Arts. 

(2) Some values are missing in the table (indicated by ‘-’) that you are expected to calculate if required.

In company B, the difference between the number of employees who are Graduates in Arts and Graduates in Science is:

This question was previously asked in
UGC NET 2023 Electronic Science Question Paper (13-Dec-2023) (Shift 1)
The correct answer is

154

This is a data-interpretation item based on the percentage distribution of graduates (Commerce, Arts, Science) across companies. Company B employs a total of 1400 people, and the three streams must together account for 100% of that workforce, so any missing stream is found by subtraction.

From the table, Company B has Commerce = 31% and Arts = 40%. Since the three streams are exhaustive, Science = 100% − 31% − 40% = 29%. Converting the two required percentages into head-counts on the base of 1400:

  • Arts graduates = 40% × 1400 = 560
  • Science graduates = 29% × 1400 = 406

The question asks for the difference between Arts graduates and Science graduates: 560 − 406 = 154. Note that because both figures share the same base (1400), the difference can also be read directly from the percentage gap: (40% − 29%) × 1400 = 11% × 1400 = 154, which confirms the result.

The values 174 and 178 correspond to using an incorrect Science or Arts percentage (for example, misreading 28% or 27% instead of 29%). The value 146 arises from a percentage-gap error such as taking a 10.4%-type slice or mis-picking a neighbouring column. Only 11% of 1400 gives the exact matching figure.

Correct answer: 154

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