CSIR NET Maths previous year question papers

A monkey covers exactly 10 m on ground in each jump. What is the least number of jumps required to reach a distance 1 m away from where the monkey jumps first?

Cube root of 0.0125% is closest to

How many 5-digit numbers, using 0 to 9, can be generated such that '123' appears as a string and no digit appears more than once?

The diagrams show two orientations of a die having numbers 1 to 6 written on different faces. In the first orientation the visible faces are 3 on top, 4 on the front-left and 5 on the front-right; in the second, 4 on top, 2 on the front-left and 5 on the front-right. The number on the face opposite the face showing 3

There are four containers of equal height, whose bases are a circle, a square, a rectangle and an equilateral triangle having the same area. Which one of the following statements about these containers is true?

The diagrams show the rates of diamond and emerald in a range of sizes. Both graphs are straight lines through the origin: for diamond the price rises to 5 Lakh Rs/carat at a weight of 2.5 carat, and for emerald it rises to 2.5 Lakh Rs/carat at the same weight. A person wants to buy a diamond and an emerald of identical size for a total of Rs. 6,75,000/-. What is that size?

If A is B's daughter, B is C's brother and D is C's father, then what is A to D?

A block of marble 4 m × 3 m × 2 m in size is cut into square tiles of 1 m side having thickness of 10 cm. Assuming there is no wastage in cutting, how many tiles will be made?

A lady walks one-tenth of the total distance at 3 km/h, one-sixth she runs at 5 km/h, one-fifth at 6 km/h, and covers the remaining 16 km at 16 km/h by cycle. What is the total distance?

An OTP is made of six digits using 0 to 9. If three digits and their positions are known, what is the probability (in percentage) of discovering the full pin within 100 trials?

Ramesh is taller than Rajesh but not taller than Rupesh. Suresh's height is the average of the heights of Naresh and Rajesh. If Rajesh is taller than Naresh then who is the shortest among them?

The value of (1 − 1/2025)(1 − 1/2024)(1 − 1/2023)…(1 − 1/2001) is

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?