CSIR NET Maths previous year question papers

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?

In a class of 30 students, those with roll numbers 1 to 20 secure an average of 72% marks, while those with roll numbers 11 to 30 secure an average of 75% marks. If the average marks of the entire class are 70%, what is the average marks of roll numbers 11 to 20 (in percent)?

The son was born when his mother was 28 years old. The father is older to the mother by 4 years. If the current ages of the father and mother are in the ratio 9:8, what is the current age (in years) of the son?

In a class, among the boys B is taller than 10 boys, but shorter than 13 others. Among girls, G is taller than 6 girls, but shorter than 8 others. Two boys and three girls are shorter than B, but taller than G. If no two persons have the same height, then in the entire class, B is

The hypotenuse of a right triangle, whose sides are integers, is 17 cm. Its area in sq.cm is

In a test with multiple choice questions, candidates get 4 marks for a correct answer and lose 1 mark for an incorrect answer. Two candidates A and B attempting 18 and 13 questions, respectively, secure equal marks. How many more INCORRECT answers does A have compared to B?

A ranks 10th from both the top and the bottom in merit among the girls in her class. B ranks 6th from the top and 16th from the bottom among boys in the same class. If A is immediately ahead of B in merit order, her rank in the entire class would be

A 360 ml aqueous solution contains 40% alcohol. How much will be the approximate percentage of alcohol if 3600 ml of water is added to the solution?

If 90 people are to be seated randomly in 15 rows of 6 seats each, what is the probability that a person gets a seat at either end of a row?

Consider the following four statements. Statement 1: “Statement 3 is true.” Statement 2: “Statement 1 is true.” Statement 3: “Statement 1 is true and Statement 2 is false.” Statement 4: “Statements 1, 2 and 3 are false.” Which of the above statements must be true for the four statements to be mutually consistent?

On a track of 200 m length, S runs from the starting point and R starts 20 m ahead of S at the same time. Both reach the end of the track at the same time. S runs at a uniform speed of 10 m/s. If R also runs at a uniform speed, then how much more time would R take to run the entire course?

The arithmetic mean of five numbers is zero. The numbers may not be distinct. Which of the following must be true?

Of all the English magazines published in a country, magazine M is read by the highest number of readers. It necessarily follows that