UGC NET Paper 1 — Mathematics

Identify the correct mathematical statement(s): A. $\frac{3}{4} + \frac{5}{36} + \frac{7}{144} + \dots + \frac{17}{5184} + \frac{19}{8100}$ is equivalent to 0.09. B. $\frac{x}{x-1}...

What is the sum of the first 15 terms of the following series? $2^2, 3^2, 4^2, 5^2, ......$

A sum of Rs. 10,000 is invested for a term of $2\frac{1}{2}$ years at an interest rate of 8% compounded annually. The amount on maturity will be :

Arrange the following figures in increasing order of their area.

Arrange the areas for following shapes in descending order of their values: A. The area of the curved surface of a cylindrical wire of radius 1.0 mm and length 3.5 cm B. The surfac...

Match List-I with List-II: List-I (Question) A. If x + 1/x = 2, then x - 1/x = ? B. If x - y = 1 and x^2 + y^2 = 41, then x + y = ? C. If (1 - 1/x) = 2, then 1 + 1/x^2 = ? D. If (x...

Which of the following are correct? A. Speed of 50 km/hour is equivalent to 15 m/s B. The area of a rhombus with diagonals of 4 cm and 6 cm is 12 cm² C. $\sqrt[3]{729}$ is greater...

Which of the following statements are correct? A. The speed of 50 kilometers per hour is equal to 15 meters per second. B. The area of a rhombus with diagonals of 4 cm and 6 cm is...

A sum of money lent at compound interest for 2 years at 20% per annum would fetch ₹ 482 more if the interest was payable half yearly than if it was payable annually. Find the sum o...

Match List - I with List - II: List - I A. In a class, the ratio of number of male students to number of female students is 9:11. The percentage (%) of female students in the class...

If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result obtained is 49 8/27. Find the fraction.

A circle has the diameter same as the length of the side of an equilatral triangle. What is the ratio of their respective areas?

There are two numbers such that their product is 21 and the sum of their squares is 58. Find the difference between the two numbers.

The sum of the first n even natural numbers is 1560. Find the value of n.

In a two digit number, if it is known that the digit at the unit's place in the number exceeds the digit at the ten's place by 2 and that the product of the given number and the su...

A man purchased some oranges at 4 oranges for ₹7 and sold them at 7 oranges for ₹13. Thus, he gained ₹30 in all. The number of oranges he bought is:

A train leaves station P at 6 AM and reaches station Q at 10 AM. At the same time (i.e. at 6 AM) another train leaves station Q and reaches station P at 9.30 AM. The two trains cro...

Sum of the cost price of two articles A and B is Rs.26,000. Both the articles are sold at a profit of 20% and 40%, respectively. However, the selling price of the two articles rema...

If 10th term of an Arithmetic Progression (AP) series is 34 and the difference between any two consecutive terms is 3, then find the first term of the series.

If the fractions 2/5, 3/8, 4/9, 5/13 and 6/11 are arranged in ascending order of their values, which fraction will be in the third position in that order?

नीचे दो कथन दिए गए हैं। एक अभिकथन (Assertion A) के रूप में लिखित है तो दूसरा उसके कारण (Reason R) के रूप में: कथन I : किसी भिन्न को न्यूनतम, रूप में न्यूनीकृत किया जा सकता है यदि अ...

If a 30 meter ladder is placed against a 15 meter wall such that it just reaches the top of the wall, the angle of the elevation of the wall is:

The H.C.F. of two numbers is 12 and their difference is 12. The numbers are

The angle made by the minute hand of a clock while moving from 4:40 pm to 6:10 pm is

Given below are two statements: Statement I: The halves of diagonals and a side of a rhombus form a right angled triangle with side as hypotenuse. Statement II: Area of a parallelo...

A vendor allows a discount of 16% to his customers and still gains 20%. The marked price of an item, which costs the vendor ₹ 11900, is

Consider the following statements: A. A-succession of numbers formed and arranged in a definite order according to certain definite rule, is called a progression. B. Two numbers ar...

Given below are two statements: Statement I: The multiplication or division of each term of a ratio by a same non-zero number affects the ratio. Statement II: We say that $\alpha$...

Statement I: Two triangles are said to be similar if their corresponding angles are equal and corresponding sides are proportional. Statement II: Two triangles are said to be simil...

Given below are 2 statements: Statement I: When we perform an experiment, then the set S of all possible outcomes is called the sample space. Statement II: Any superset of a sample...

For all integers y > 1, (y)=2y+(2y-1)+(2y-2)+...+1.