UGC NET Paper 2 — Mathematics

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...

Arrange the following shapes in increasing order of their areas : A. A circle of diameter 10 cm B. A rectangle of dimensions [6 cm × 4 cm] C. A square of side 5 cm D. An equilatera...

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

एक कक्षा में 8, 10, 25 व 17 विद्यार्थियों के वज़न क्रमशः 50-54 कि.ग्रा., 54-58 कि.ग्रा., 58-62 कि.ग्रा. व 62-66 कि.ग्रा. की रेंज में है। कक्षा के एक विद्यार्थी का माध्य वजन कितना ह...

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

Match the LIST-I with LIST-II LIST-I (Question) A. If, x + 1/x = 2, then x - 1/x = ? B. If, x - y = 1 and x² + y² = 41 then x + y = ? C. If 1 - 1/x = 2, then 1 + 1/x² = ? D. If x -...

If the mean of X1, X2, X3... is X, then for a ≠ 0, the mean of (ax₁, ax₂, ax₃, ...axn, X1/a, X2/a, X3/a,...) is:

Match the LIST-I with LIST-II LIST-I (Question) A. If, $x + \frac{1}{x} = 2$, then $x - \frac{1}{x} = ?$ B. If, $x - y = 1$ and $x^2 + y^2 = 41$ then $x+y=?$ C. If $(1 - \frac{1}{x...

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...

A Fourth proportional to st⁵, s² t³, s³t² (Where s, t are non zero) is

Match the LIST-I with LIST-II LIST-I (Question) A. If, x + 1/x = 2, then x - 1/x = ? B. If, x - y = 1 and x² + y² = 41 then x + y = ? C. If (1 - 1/x) = 2, then 1 + 1/x² = ? D. If (...

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 surfa...

Arrange the following shapes in increasing order of their areas: A. A circle of diameter 10 cm B. A rectangle of dimensions [6 cm x 4 cm] C. A square of side 5 cm D. An equilateral...

Find the value of the given expression correct upto 2 decimal places. $\frac{0.05 \times 0.05 \times 0.05 + 0.04 \times 0.04 \times 0.04}{0.05 \times 0.05 - 0.05 \times 0.04 + 0.04...

Match the LIST-I with LIST-II LIST-I (n= number of Trials; p= probability of Success) A. n = 16, p = 0.8 B. n = 21, p = 0.6 C. n = 13, p = 0.7 D. n = 23, p = 0.4 LIST-II (Mean of B...

Arrange the following fractions in descending order of their value:

Identify the correct statements: A. $(216)^{\frac{1}{3}} > (169)^{\frac{1}{2}}$ B. The next term in the series 2, 7, 28, 63, 126, ....... is 217 C. The area of equilateral triangle...

निम्नलिखित में से कौन-से लक्षण एक दुर्बल रूप से स्थिर यादृच्छिक (स्टॉकेस्टिक) प्रक्रिया के हैं? (A) माध्य समय के साथ परिवर्तनशील होता है। (B) माध्य स्थिर होता है। (C) प्रसरण स्थिर...

यदि f(•) एक बंद और परिबद्ध अंतराल [a, b] पर एक संततफलन है, तो [a, b] में एक बिंदु d होगा जहाँ f(•) न्यूनतम होगा और [a, b] में एक बिंदु c होगा जहाँ f(•) अधिकतम होगा, जिससे कि f(d) ≤...

A linear programming problem (LPP) is as follows: Min z=30x-18y, subject to the constraints; 3x+4y ≤ 60, 5x-3y ≥ 20 and x,y ≥ 0. In this feasible region, the solution of LPP is/are...

Given matrices A and B, evaluate the correctness of the following statements: A = [[1, 3], [2, 8], [4, 0]] and B = [[5], [9]] (A) AB will be represented as [[32], [82], [20]] (B) B...

निम्नलिखित 3 बाध्यतामूलक इष्टतमीकरण समस्याओं (COP) पर विचार कीजिए : (a) z = lnx को अधिकतम कीजिए x > 1 के अधीन (b) z = lnx को अधिकतम कीजिए x < 1 के अधीन (c) z = ln x को अधिकतम कीजिए...

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

Arrange the following shapes in increasing order of their areas: A. A circle of diameter 10 cm B. A rectangle of dimensions [6 cm × 4 cm] C. A square of side 5 cm D. An equilateral...

A single discount equivalent to three successive discounts of 10%, 25% and 35% on the marked price of an item will be:

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

Integrate $\int\frac{x+3}{x+5}dx$.

A bit string of length four is generated at random. What is probability that it contains at least two consecutive 0's given that first bit is 0?

Arrange the steps of Mathematical Modeling: A. Solution fitting with data B. Formulation Mathematically C. Solve Mathematically D. Repeat formulation if it fit worst with data E. I...

Z is set of integers, forms group if * is:

₹3080 को A,B और C में इस तरह बाँटा जाता है कि A के हिस्से का आधा, B के हिस्से का एक-तिहाई तथा C के हिस्से का छटवाँ भाग बराबर हैं, तो B का हिस्सा है:

रैखिक प्रोग्रामन समस्याओं के समाधान के लिए निम्नलिखित में से किसने सिम्प्लेक्स विधि को विकसित किया था ?

Simplex method of solving Linear Programming problems was developed by :

एक थैले में 5 लाल, 7 सफेद और 3 हरी गेंद हैं। इस थैले से एक गेंद यादृच्छिक रूप से निकाली जाती है तो उसमें हरी गेंद होने की क्या संभाव्यता है ?

A bag contains 5 red, 7 white and 3 green balls. One ball is randomly drawn from the bag. What is the probability that it is green ?