CSIR NET Maths previous year question papers

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?

The diagrams show the distribution of trees in two forest patches A and B. Each patch is divided into smaller “quadrats”. The number of trees in each quadrat is shown. Which one of the following statements about the means $(\mu)$ and standard deviations $(\sigma)$ of the numbers of trees in the two patches is true?

Forest Patch A

Forest Patch B

Among finches males and females have one of the three colours — Red, Blue or Yellow — on their head. During the mating season, males and females pair up randomly. For a large population of finches with 50% red, 30% blue and 20% yellow coloured individuals among both males and females, what is the expected number of pairings between red males and yellow females if the total number of pairs formed is 10000?

The length of bristlemouth fish is uniformly distributed between 2 and 4 inches. If a fisherman randomly catches 5 bristlemouth fishes, what is the probability that at least one of them will be 3 inches or longer?

An experiment consists of tossing four fair coins independently. The outcome of the experiment is considered favourable, if the number of heads is greater than the number of tails. The probability of a favourable outcome from a single experiment is

An athlete running on a track falls short of the finish line by 10 m when she runs at a constant speed for a given time. If she increases her speed by 20%, she overshoots by 20 m in the same time. What is the length of the track?

What would be the minimum number of notes for Rs 4849 if notes are available only in denominations of Rs 2, 5, 20, 50, 500?

In a district, every second teacher who teaches chemistry also teaches physics and every third teacher who teaches physics also teaches chemistry. The ratio of teachers who only teach chemistry to those who only teach physics is

On a one-way road, to demarcate 4 lanes, line segments of 3.5 m length are painted with gaps of 3.5 m along the length of the road. What is the total length of the painted lines (in m) over a 350 m stretch of the road?

Rajesh went to Sunil's house situated 1 km North-East of his house. From there, he went to Arjun's house that is situated 707 m South of Sunil's house. What is the distance between Rajesh's current location and his house (to the nearest metre)?

Choose the best alternative: CURRY is to SPICE as ______ is to COLOUR.

Out of a class of 100 students who can speak at least one of English or Hindi, 41 students can speak English. 21 students can speak both English and Hindi. How many students can speak Hindi?

By selling two items at the same price, a person gains 20% on one item and loses 20% on the other. Then over all

A group of 540 persons is to be seated row wise such that the number of persons in each row is 4 less than in the previous row. Which of the following number of rows is not possible?