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