CSIR NET Maths previous year question papers

Consider the following statements: Statement I: All Booklets are Manuals. Statement II: All Manuals are Catalogues. If Statements I and II are True, which one of the following conclusions can be conclusively drawn?

A Venn diagram shows the numbers of players playing one or more than one sport among Football, Cricket and Tennis: 18 play Football only, 24 play Cricket only, 20 play Tennis only, 7 play Football and Cricket but not Tennis, 11 play Football and Tennis but not Cricket, 8 play Cricket and Tennis but not Football, and 4 play all three sports. The percentage of players who play exactly two sports is closest to ____%.

The value of a company is measured as the total value of its shares owned by different investors. Rakesh owns 2/15 of the shares of a company. He sells 1/3 of his shares for Rs. 75,000/-. What is the total value of the company at that time?

A car has wheels of diameter 36 cm. If it runs at a speed of 60 km/h, then the rotation per minute (RPM) will be closest to ____.

A cylindrical container of radius 20 cm was filled with water up to 25 cm height. A solid spherical ball of radius 7 cm was then immersed in the water. What would be the approximate increase in water level in the container after the ball was fully immersed?

The market share (%) and annual production of scooters from five automobile companies P, Q, R, S and T are shown in graphs. The market shares are P 17%, Q 25%, R 24%, S 14% and T 20%. The annual production, in thousands of scooters, is P 80, Q 120, R 110, S 80 and T 100. If the profit of a company is directly proportional to the ratio of market share to production, then which of the following statements is/are CORRECT? Statement X: Companies T and P have same profit. Statement Y: Company R has the maximum profit. Statement Z: Company S has the minimum profit.

Rahul and his father started jogging on a circular track of radius 'r' (r > 2). Rahul completed one round and stopped. His father got tired half way into the first round and returned to his starting point along a straight line. What is the ratio of the distances covered by Rahul and his father?

Kavita starts from her house and walks 200 m northward, then turns 45° right and walks 70 m. After that, she turns 90° right and walks 70 m. Which of the following is the closest value of the shortest distance between Kavita's current location and her house?

The initial monthly salaries of employees John, Riya, and Sunil were in the proportion 4:3:5. After an increase of Rs 10000 monthly to all, the new proportion becomes 6:5:7. What was the initial salary of Sunil?

Numbers of Rose, Lotus, and Marigold plants in a garden are in the proportion 8:5:7. Later, 75%, 40% and 50% more plants of their respective categories were added. What will be the new proportion of plants, in the same order?

What will be the digit at the unit's place of $1^{3} + 2^{3} + 3^{3} + 4^{3} + 5^{3} + 6^{3} + 7^{3} + 8^{3} + 9^{3}$?

Suresh asked Ramesh to identify the person in a photo that the latter is holding. Ramesh responds, "I have no brothers or sisters. However, that man's father is my father's son." Who is the person in the photo?

Three identical semi-circles are arranged on a common horizontal line, two standing above the line and one below it. The diameter of the left-hand upper semi-circle begins at the left end of the line, the diameter of the right-hand upper semi-circle ends at the right end of the line, and the lower semi-circle lies between them. Along the line, the distance from the left end of the line to the left end of the lower semi-circle's diameter is 15, the distance from the right end of the lower semi-circle's diameter to the right end of the line is 15, and the gap between the right end of the left upper semi-circle's diameter and the left end of the right upper semi-circle's diameter is 10. What is the diameter of the semi-circles?

A number is mistakenly divided by 2 instead of being multiplied by 2. What is the change in the result caused by this mistake?

In a code, the word DELTOID is written as 3152893. Then LOTION could be written as

Sum of the digits of a two-digit number 'ab' is subtracted from the number and the result is divided by 9. Then the result of this will be

A stock market trader has lost two thirds of her investment on a day. Next day she recovered one third of the previous day's loss. What fraction of her initial investment is she left with?

Three friends, Mr. Rahman, Mr. George and Mr. Vedant, met after a long time. They were wearing red, green and violet colour shirts. Mr. Rahman and the person wearing violet shirt noticed that none of the three is wearing a colour that starts with same letter as his name. Which one of the following is the correct match of the persons with the colour of their shirts?

Five students graduated from a college, not all in the same year, after each has studied for four years. If batchmates Jiten and Anwar were between Ramesh and Prakash but senior to Sam while Ramesh had left the college before Jiten took admission, then it is certain that

Which among the following cities can be said most appropriately to bear the same relation to Tamil Nadu that Pune bears to Maharashtra; Surat to Gujarat and Asansol to West Bengal?

The geometric mean of 100 observations is 25. If each observation is multiplied by 4, what will be the new geometric mean?

Alloy A is formed by mixing iron (Fe) and nickel (Ni) in the ratio 3:4, while alloy B is formed by mixing Fe and Ni in the ratio 9:5. If equal quantities of alloys A and B are melted together to form a new alloy C, what will be the ratio of Fe to Ni in alloy C?

Two identical metal bars are heated to different temperatures and allowed to cool in the same surroundings. Which one of the following figures correctly shows their cooling curves?

The following figure shows densities and masses of five objects (A to E) on a radar chart, with density and mass each read on the same 0–5 scale along its own spoke. The object with the largest volume is ____.

In an exam, questions of three difficulty levels — hard, medium, and easy — fetch respectively 7, 3, and 2 marks if correct and 0 if incorrect. Three students got 30 marks each but in three different ways, though the total number of questions correctly answered by each student was the same. Then what could be the total number of questions correctly answered by each of these students?