CSIR NET Maths previous year question papers

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

The number of three digit PINs, in which the third digit is the sum of the first two digits, is

Consider a right angled triangle BAC, right angled at A, with medians CM and BL having the same length, where M is the midpoint of AB and L is the midpoint of AC. The ratio of the length of BC to that of ML is

A battalion consists of elephants, horses and soldiers totaling to 3500. There are twice as many horses as elephants and one-fourth of the soldiers are riding these animals. In the stand still position, number of feet on ground is 7500. The number of horses in the battalion is

The wholesale price per unit of an item is $C_{0}$ up to first 19 units. The unit price falls by 10% if 20 to 29 units are purchased and by another 10 % if 30 or more units are purchased. If 120 units are bought, the total price paid is approximately

A 5 kg watermelon contains 99% water by weight. Some of the water evaporates and the melon now contains 98% water by weight. What is the weight (in kg) of watermelon now?