Latest Questions

Using matrix mathod , show that the equations

3x+3y+2z=1,

x+2y=4,

10y+3z=-2,

2x-3y-z=5

are consistent and hence obtain the solution for x,y,and z.

Let \(R\) be a commutative ring with identity in which the set of all non-units forms an ideal \(M\). Show that \(M\) is a maximal ideal of \(R\) and it contains every proper ideal of \(R\). Also show that for each \(r \in R\) either \(r\) or \(1-r\) is a unit.

Bengal was partitioned in 1905 under the viceroyalty of
(1) Lord Curzon
(2) Lord Dufferin
(3) Lord Hardings
(4) Lord Minto

राज्य में चावल की खेती मुख्यत किन भागो में होती है?

 (a) उतर-पश्चिमी तथा मध्यवर्ती

 (b) दक्षिण-पूर्वी तथा मध्यवर्ती

 (c) दक्षिण-पश्चिमी तथा मध्यवर्ती

 (d) उतर-पूर्वी तथा मध्यवर्ती

एक समचतुर्भुज की प्रत्येक भुजा 10 सेमी लम्बी है तथा इसके एक विकर्ण की लम्बाई 16 सेमी है दुसरे विकर्ण की लम्बाई कितनी है?

 (a) 12 सेमी

 (b) 6 सेमी

 (c) 13 सेमी

 (d) 2 सेमी

1.5 मीटर ऊंचा एक व्यक्ति एक मीनार से 28.5 मीटर की दुरी पर सीधा खड़ा है इस व्यक्ति की आँख मीनार की चोटी से 45° का उन्नयन कोण बनाती है मीनार की ऊंचाई कितनी है?

 (a) 27 मीटर

 (b) 30 मीटर

 (c) 28.5 मीटर

 (d) इनमे से कोई नही

Who introduced Western education?

(1) Raja Ram Mohan Roy
(2) Lal Bahadur Shastri
(3) Netaji Subhash Chandra Bose
(4) Sardar Vallabhbhai Patel

Who is known as the ‘Indian Bismarck’?

(1) Vallabhai Patel
(2) Subhash Chandra Bose
(3) Bhagat Singh
(4) Bal Gangadhara Tilak

The most important text of Vedic mathematics is :
(1) Satapatha Brahman
(2) Atharva Veda
(3) Sulva Sutras
(4) Chhandogya Upanishad

Who amongst the following was the Last Guru of the Sikhs?
(1) Guru Arjun Dev
(2) Guru Teg Bahadur
(3) Guru Gobind Singh
(4) Guru Angad Dav

The last Buddhist king who was a great Sanskrit scholar and a writer was
(1) Kanishka

(2) Ashoka
(3) Bimbisara
(4) Harshavardhana

The Governor-General of India was impeached by the House of Commons in England was:
(1) Waren Hastings
(2) Cornwallis
(3) Wellesley
(4) William Bentinck

The seashore temple at Mahabalipuram was built by

(1) Mahendra Varman \(\mathrm{I}\)
(2) Narasimha Varman \(\mathrm{I}\)
(3) Nandi Varman \(\mathrm{II}\)
(4) Dandi Varman

The hero of the Kakori ‘Dacoity’ case was
(1) Ramprasad Bismil
(2) Bhagat Singh
(3) Batukeshwar Datta
(4) Barkatulla

The ‘Mohammadan Anglo-Oriental College’ later became the

(1) Osmania University
(2) Jamia-Milia Muslim University
(3) Baraktullah University
(4) Aligarh Muslim University

The fall of Bastille is associated with the

(1) Russian Revolution of November, 1917

(2) French Revolution of 1789

(3) American War of Independence

(4) Greek War of Independence

Prove that

L{\(Sin{at} \)} =\(\frac{a} {(s^{2}+a^{2})},s>0\)

The image form by an object of a compound microscope is ?