Latest Questions

The total sum of the goods and services produced in a country in a year minus depreciation is called -
1) Gross Domestic Product
2) Gross National Product
3) Gross National Income
4) Net Domestic Product

A subset \(S\) of a ring \(R\) is said to be multiplicative if \(ab \in S \;\forall \; a,b \in S\). Show that \(P\) is a prime ideal of a commutative ring \(R\) if and only if \(R-P\) is multiplicative.

Which was the first talkie feature film of India?
(1) Raja Harischandra
(2) Alam Ara
(3) Duniya na Mane
(4) Aadami

हरियाणा राज्य के भोगोलिक क्षेत्र के कितने प्रतिशत पर वृक्ष आवरण है?

 (a) 2.90%

 (b) 2.75%

 (c) 1.76%

 (d) 4.44%

एक स्कुल बस एक गाँव से स्कुल तक की दुरी 12 किमी./घंटा की गति से तय करती है तथा 8 मिनट देरी से स्कुल पहुचती है अगले दिन यह बस 20 किमी./घंटा की गति से तय करती है तथा समय से 10 मिनट पहले स्कुल पहुच जाती है गाँव तथा स्कुल के बीच की दुरी कितनी है?

 (a) 15 किमी

 (b) 6 किमी

 (c) 9 किमी

 (d) 12 किमी

The Bandung Conference was a major milestone in the history of :
(1) The Non-aligned movement
(2) Indo-Chinese relationship
(3) U.S.-Vietnam War
(4) Creation of ASEAN

Let \(X=S^n \backslash \{(0,\ldots ,1)\} \subseteq \mathbb{R^{n+1}}\) and \(Y= \mathbb{R^n}\) , and define

\(f:X \rightarrow Y\) and \(g:Y \rightarrow X\) by

\(f(x_1, \ldots ,x_{n+1}) =\large( \frac{x_1}{1-x_{n+1}}, \ldots , \frac{x_n}{1-x_{n+1}}),\\g(x_1, \ldots ,x_n)=\large(\frac{2x_1}{{||x||_2}^2+1} ,\ldots ,\frac{2x_n}{{||x||_2}^2+1} , \frac{{||x||_2}^2-1}{{||x||_2}^2+1} )\)

Verify that \(f\) and \(g\) are homeomorphisms such that \(f^{-1}=g\).

Show that the product topology is the smallest topology which makes all projections \(\pi_\alpha\) continuous.

Find the value of x

2x^2+2x+2=0

The first Bhakti Movement was organised by
(1) Nanak                           (2) Meera
(3) Ramdas
(4) Ramanujacharya

Which was the first talkie film made in India?
(1) Kisan Kanya
(2) Raja Harishchandra
(3) Mother India     

(4) Alam Ara                                                                                                                                                                               

The Grand Trunk Road built by Sher Shah Suri connects:
(1) Agra–Punjab
(2) Punjab–East Bengal
(3) Lahore–East Bengal
(4) Multan–Agra

Who was the first Prime-Minister of England?

(1) Oliver Cromweli
(2) Benjamin Disraeli
(3) Robert Walpole
(4) Gladstone

 Who propounded the “Doctrine of Passive Resistance”?
(1) Balgangadhar Tilak
(2) Aurobindo Ghosh
(3) Lala Lajpat Rai
(4) Bipin Chandra Pal

The land measures of the Second Pandyan Empire was mentioned in

(1) Thalavaipuram Copper Platces
(2) Uttirameru Inscription
(3) Kudumiyammalai Inscription
(4) Kasadudi Copper Plates

Using Jacobi method and cyclic Jacobi method, find all the eigen values and corresponding eigen vectors of the following matrices:

   (a) \(\left[\begin{array}{cols} 2&1.414&4 \\1.414&6&1.414 \\ 1&1.414 &2 \end{array}\right] \)

The Gupta rulers imposed a fine called ........ which was a plough tax paid by every cultivator owning a plough.
1) Hiranya
2) Sulka
3) Halivakara
4) Kara