Maths : Data Interpretation

Q 34 / 46

UPSC CSE Prelims 2013

Study the two figures given below and answer the question that follow:

A graph of a number of professor's classes
A pie chart with numbers and symbols

If the Psychology professors in the University constitute 2% of all the professors in the University, then what is the number of professors in the University?

EXPLANATION

Correct Option (2)

The total number of Psychology professors is determined to be 10 (derived from the provided figures, which illustrate the distribution of professors, showing 4 and 6 professors, summing to 10). The question states that Psychology professors constitute 2% of all professors in the University. Therefore, if 10 professors represent 2% of the total faculty, the total number of professors can be calculated as follows:

  • If 2% of Total Professors = 10
  • Then 1% of Total Professors = 10 / 2 = 5
  • Consequently, 100% of Total Professors = 5 × 100 = 500

Thus, the total number of professors in the University is 500.

Incorrect Options:

Options 1 (400), 3 (600), and 4 (700) are incorrect. These values do not align with the calculated total number of professors (500) when considering that 10 Psychology professors constitute 2% of the university's total faculty, as derived from the problem statement and figures.