Which of the following statements is/are correct? I. The force between two bodies is directly proportional to the product of their masses. II. The force between two bodies is inversely proportional to the square of the distance between them. III. The force between two bodies is the ratio of their masses.
Krishnadevaraya maintained friendly relations with the
(1) French (2) British (3) Portuguese (4) Dutch
The State Jhansi was made a part of the British Empire in India through (1) Doctrine of Lapse (2) Policy of Subsidiary Alliance (3) War against Rani Lakshmi Bai (4) None of the above
खनिज संसाधनों में किस जिले की प्रमुखता है?
(a) महेंद्रगढ़
(b) फतेहाबाद
(c) भिवानी
(d) गुडगाँव
(a) 2 सेमी
2 वर्ष बाद देय धन पर 8% वार्षिक दर से मिती काटा रु 1200 है देय धन तथा तत्काल धन ज्ञात कीजिये?
(a) 7700
(b) 7600
(c) 7550
(d)7500
What was Lala Lajpat Rai demonstrating against when he succumbed to police brutality?
(1) Rowlatt Act (2) Minto-Morley Reforms (3) Simon Commission (4) Pitts India Act
Let f : [0, 1] −→ [0, 1] be continuous. Use the Intermediate Value Theorem to show that f(x) = x for some x ∈ [0, 1].
Let \(R\) be a ring. Give an example of a map from one \(R\)-module to another which is a group homomorphism but not an \(R\)-module homomorphism.
If \(f:X \rightarrow Y\) is continuous and a sequence \(\{x_n\}\) in \(X\) converges to \(x \in X\), show that the sequence \(\{f(x_n)\}\) in \(Y\) converges to \(f(x)\).
What do you mean by Mughal Zagir? (1) providing rent-free land (2) zamindar’s property
(3) giving the officer a right to revenue
(4) giving cash salary to Mansabdar
Who was the first Indian to be elected as the leader of the Communist International?
(1) Jawaharlal Nehru (2) P.C. Joshi (3) Sardar Vallabhai Patel (4) M.N Roy
Who founded the Naujawan Bharat Sabha?
(1) B.C.Pal (2) G. Subramania Iyer (3) Sardar Bagat Singh (4) Rukmani Lakshmipath
Five years ago, the total of the ages of a father and his son was 40 years. The ratio of their present ages is 4 : 1. What is the present age of the father?
Who among the following Sultans tried to prohibit sati ? (1) Alauddin Khilji (2) Mohammad Bin Tughlaq (3) Jalaluddin Khilji (4) Firoz Tughlaq
Which of the following statements about 'Invest India' is/ are correct? 1. It is a joint venture (not for profit) company. 2. It is the National Investment Promotion and Facilitation Agency of India.
Select the correct answer using the code given below. 1) 1 only 2) 2 only 3) Both 1 and 2 4) Neither 1 nor 2
Which one of the following CholaKings conquered Ceylon (Singhal) first? (1) Aditya-\(\mathrm{I}\) (2) Rajaraja-\(\mathrm{I}\) (3) Rajendra (4) Vijayalya
The Portuguese Governor who abolished Sati in Goa was (1) Albuquerque (2) Cabral (3) Almeida (4) De Braganza
All Questions
Physics
Chemistry
Mathematics
English
Organic Chemistry
Inorganic Chemistry
Physical Chemistry
Algebra
Geometry
Any interval \((x,y)\) in a simply ordered set is convex: If \(a,b \in (x,y)\) then \(x<a<b<y\) and hence \((a,b) \subseteq (x,y)\).
The Mughal paintings reached at their peak during the reign of - 1) Akbar 2) Jahangir 3) Shahjahan 4) Aurangzeb
Which language is spoken by the people of Lakshadweep? (1) Malayalam (2) Kannada (3) Tamil (4) Telugu
The credit of discovering the sea route of India goes to the (1) French (2) Dutch (3) Portuguese (4) English
Who discovered Cape of Good Hope in 1488 ? (1) Magellan (2) Columbus (3) Bartholomew Dias (4) Vasco da gama
If \(\phi\) is a homomorphism from \(\mathbb{Z_{30}}\) onto a group of order 5, determine ker \(\phi\) .
Let \(R\) be a commutative ring. Show that the set \(N=\{ a\in R |a^m =0\) for some positive integer m\(\}\) is an ideal of \(R\) which is contained in every prime ideal of \(R\). Further show that \(R/N\) is a ring with no non-zero nilpotent elements. \((N\) is called the nilradical of \(R)\).
What was the chief objective of the ‘Wahabi movement’? (1) Forge cordial relations with the British (2) Purify Islam (3) Improve the condition of women (4) Adopt rational education
Most of the Chola temples were dedicated to (1) Ganesh (2) Shiva (3) Durga (4) Vishnu