CSIR NET Maths previous year question papers

The following plot shows temperature as a function of x and y, brightest at the far corner (x, y) = (5, 5) and darkest at the origin, with the colour banding curving between them rather than running in straight stripes. Along which path is the temperature change minimum?

The minimum height of a plane vertical mirror that will allow a 6-feet tall person to see himself fully in it

Three periodic events repeat every 24 seconds, 54 seconds, and 56 seconds. If they coincide at 10:20:00, when will they next coincide?

The numbers (in millions) of coconut, guava, mango and apple trees in a region in 2010 and 2020 are shown in the following figure — coconut 15 → 12, guava 25 → 22, mango 20 → 18, apple 30 → 35. The maximum relative change in numbers was for

Some, but not all, faces of a six-faced cubical fair die are painted red (R) and the remaining green (G); and the die is thrown until red faces come up on top 4 times. Consider the following sequences of colours listed left to right as they appear on the top. A: GRRRR. B: GRGRRR. Which one of the following is true?

From a fully-filled vessel of 12-litre capacity, to bring 6 litres of water into an empty vessel of 8-litre capacity, what is the minimum number of times water must be poured, given that an empty 5-litre vessel is also available for use?

A lady bought some apples, each costing Rs. 25, and some bananas each costing Rs. 6, for a total of Rs. 378. In how many ways could she have chosen the numbers of apples and bananas?

Suppose $a_{1}, a_{2}, \dots, a_{300}$ are integers such that $a_{i}$₋$_{1} + a_{i} + a_{i}$₊$_{1} = 2025$ for all i = 2, 3, …, 299. If $a_{7} = -5, a_{9} = 37$, then the value of $a_{106}$ is

How many 5-digit numbers can be formed from the digits 0, 2, 3, 4, 6, 7 and 9, using each at most once, which are divisible by 5?

A recent survey suggests that the total fertility rate in a country has fallen below 2.1, the population replacement ratio. This necessarily implies that the

In a class, 40% and 20% students passed in Mathematics and Physics, respectively, and 10% students passed in both subjects. What is the probability of a randomly selected student to have passed in Physics if the student already passed in Mathematics?

The value of $1 + (1/2^{1} + 1/3) + (1/2^{2} + 1/5 + 1/6 + 1/7) + \dots + (1/2^{9} + \cdots + 1/1023)$ lies between

In a community, some artists are teachers, no teacher is a painter, all painters are artists, and all teachers are professionals. Then it can be definitely asserted that

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