Paper I – UGC NET – Solved PYQs of 2025

January 2025

Read the passage carefully. The questions 1 to 5 are based on this paragraph.

The following table shows the percent (%) profit earned by two companies A and B over the six years from 2018 to 2023. Based on the data in the table, answer the questions that follow:

Year-wise Profit Details of Two Companies

$$Note:\;Profit\%\;=\;\frac{Income\;-\;Expenditure}{Expenditure}\;\times100$$

1. For Company B, if the income in the year 2018 was equal to the expenditure in the year 2020, then what was the ratio of income of B in 2018 to that in 2020?

(a) 2:3

(b) 3:2

(c) 2:5

(d) 5:2

2. In the year 2022, if the income of Company B was *52 Crore and the expenditures of both the companies A and B were same, then what was the average of income of both the companies A and B?

(a) ₹22 Crore

(b) ₹33 Crore

(c) ₹55 Crore

(d) ₹44 Crore

3. If in the year 2021, the expenditure of Company A was equal to the expenditure of Company B, then what was the ratio of their respective incomes?

(a) 3:2

(b) 32:29

(c) 2:5

(d) 7:5

4. In the year 2023, if the income of Company B was ₹70 Crores, then what was the expenditure of the Com-pany B in that year?

(a) ₹20 Crore

(b) ₹30 Crore

(c) ₹40 Crore

(d) ₹50 Crore

5. If the ratio of expenditures of Company A in 2019 and 2023 is 4: 3, then the income of Company A in 2019 is ……….% more than the income of Company A in is 2023.

(a) \(\frac{70}9\%\)

(b) \(\frac{80}9\%\)

(c) \(\frac{40}9\%\)

(d) \(\frac{100}9\%\)

6. If \({(L)}_M\) represents a number L in base-M number system, then identify the correct ascending order of the following numbers A-D when converted to decimal number system:

A. \({(11111.11)}_2\)

Β. \({(102.3)}_6\)

C. \({(42.5)}_8\)

D. \({(32.6)}_16\)

Choose the most appropriate answer from the options given below:

(a) B, A, C, D

(b) A, C, B, D

(c) C, A, D, B

(d) D, C, B, A