CSIR NET Maths previous year question papers

One side and one diagonal of a rhombus are 13 cm and 24 cm, respectively. Then the area of the rhombus is

Two fair dice are thrown at random independently. What is the probability that the average of the values on their upper faces is 4?

The square of the geometric mean of two positive integers is 30. The smallest possible sum of the two integers is

An electric heater uses approximately 1 KWH for increasing temperature of 1 L water by 1°C. If the heating element has a rating of 10 KW, what is the time taken to raise the temperature of 1 L water by 1 °C?

Ten litre (L) milk contains 10% water. How much water should be added to increase its proportion to 20%?

If Asha's mother is Tanisha's daughter's aunt and Tanisha has no nephew, then Asha is Tanisha's

A chocolate bar of 5 cm length and 4 cm width has to be cut into 1 cm × 1 cm pieces. How many minimum cuts would be required, if pieces are to be taken one-by-one? (One can start by cutting along either length or width, before removing 1 cm × 1 cm pieces one by one)

If a map is placed in such a manner that southwest becomes east, then what will north become?

If water of pH 8 is diluted 100 times with neutral water (pH = 7) then it will

Fifteen distinct points are randomly placed on the circumference of a circle. How many distinct straight lines at the most can be formed by pairs among these points?

In a population of microbial cells, the initial population is 50, and the growth rate is 0.1 per hour. If the population grows exponentially, what will the approximate size of the population be after 10 hours?

The given figure shows data points and a line fit by least squares method between profit in ice-cream business and mean temperature (T) for a city. Printed on the figure are the fitted line Profit = 4T − 86 and the correlation coefficient r = 0.83. Which one of the following inferences can definitely be drawn?

The average of seven numbers is 71. If we exclude one of these numbers, the average becomes 75. What is that number?

Choose the option to fill in the blank that will make the following statement logically correct: THE NUMBER OF OCCURRENCES OF THE LETTER "N" IN THIS SENTENCE IS CORRECTLY COUNTED AS ________ .

In a board meeting of 20 directors, 6 shook everyone else's hands but the remaining 14 did not shake each another's. The total number of handshakes in the meeting was

Choose the correct chronological order of the following: A: match, B: trophy, C: toss, D: result.

A spherical ball is placed inside a cubic box. If the diameter of the ball is same as the sides of the box, what approximate percentage of volume will be empty?

If I walked east 100 metres, turned right and walked 60 metres, turned left and walked 150 metres and turned left again, I would be facing

The words TEST, EXAM and EAST are coded as 1382, 2182 and 1937 but not necessarily in that order. How would the word MATE be coded?

All those who pass an entrance test take admission into a certain institute. Out of these, some graduate with a degree in 2 years while some fail and are removed, and all graduates from that institute get jobs in the same year. In 2022, no one took admission in that institute. Which of the following does NOT follow necessarily?

Frank, Sam, Tom and David came first, second, third and fourth in a race but not necessarily in this order. Only one had first letter of position matching that of his name. If Tom came first and Sam did not come second then

In the fictional country of Numberia, which of the following provinces is the odd one out?

How many 4-digit numbers can be generated from the digits 1, 2, 3, 4, 5 such that no digit appears more than once, and digit 1 is always somewhere to the left of the digit 2?

A square sheet of 10 cm sides is folded along its diagonal to form an isosceles right triangle, and then hypotenuses are folded successively two times to form isosceles right triangles. What is the length of each equal side after the third folding?

A water bottle costs ₹ 20 that includes cost of the bottle. If the water costs ₹ 15 more than the bottle, then what is the cost of the bottle?