A passenger train runs at the rate of 80 kmph. It starts from the station, 6 hours after a goods train leaves the station. The passenger train overtakes the goods train after 4 hours. The speed of goods train is
Show that \((\mathbb{Q},+)\) has no proper subgroup of finite index. Deduce that \(\mathbb{Q/Z}\) has no proper subgroups of finite index.
Kalarippayatt is the martial art of the State of (1) Madhya Pradesh (2) Mizoram (3) Nagaland (4) Kerala
हरियाणा का अधिकतम भाग किस मृदा प्राधान्य का है?
(a) कछारी मृदा
(b) मरुस्थली मृदा
(c) रेतीली-दुम्मटी मृदा
(d) दुम्मटी मृदा
निम्न में से कौन-सा सही सुमेलित हैं ?
(a) अम्बकेश्वर महादेव मन्दिर - कैथल
(b) ग्यारह रुद्री शिव मन्दिर - कैथल
(c) भगवान शिव मन्दिर - नारनौल
(d) इनमें से कोई नहीं
यदि tan 2A = cot (A - 21°) हो तो 2A एक न्यून कोण हो तो A = ?
(a) 37°
(b) 69°
(c) 21°
(d) इनमे से कोई नही
Who developed the idea that “means justify the ends”? (1) Kautilya (2) Raja Ram Mohan Roy (3) Swami Dayanand Saraswati (4) Mahatma Gandhi
Representatives of the Maratha Empire and the British East India Company signed the Treaty of Salbai in which year? 1) 1782 2) 1769 3) 1758 4) 1771
Who among the following, propounded the theory of zero?
(1) Charak (2) Chanakya (3) Aryabhatta (4) Varahamihira
Who of the following became a member of the “Din–i–Ilahi”? (1) Todarmal (2) Raja Birbal (3) Raja Man Singh (4) Tansen
Under whose leadership was the Chittagong Armoury Raid organised?
(1) Sukhdev (2)Bhagat Singh (3) Surya Sen (4)Rajguru
Who was the founder of the paper Comrade?
British Crown assumed sovereignty over India from the East India Company in the year (1) 1857 (2) 1858 (3) 1859 (4) 1860
Who, among the following, was the pioneer of social reform movements in 19th century India?
(1) Aurobindo Ghosh (2) Raja Ram Mohan Roy (3) Devendra Nath Tagore (4) Keshav Chandra Sen
Who declared as his ultimate aim the wiping of every tear from every eye? (1) Jawaharlal Nehru (2) Gandhiji (3) Bal Gangadhar Tilak (4) Sardar Patel
If the doors of a refrigerator are left open for a few hours, the room temperature will____?
If one-third of one-fourth of a number is 15 , then three-tenth of that number is......?
An agricultural department known as ‘Diwan-i-kohi’ was created by:
(1) Mohammad-bin-Tughlaq (2) Alauddin Khilji (3) Firoz Tughlaq (4) Jalaluddin Khilji
All Questions
Physics
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English
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Inorganic Chemistry
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A topological space \(X\) is compact if and only if for every collection \(C\) with finite intersection property, \(\cap_{C \in C}C\) is non-empty.
Vikram Shila University was founded by (1) Chandra Gupta Maurya (2) Kanishka (3) Dharmapala (4) Pulakesin \(\mathrm{II}\)
Find one-point compactifications of \(\mathbb{R}\) and \(\mathbb{R^2}\) .
Show that the open unit ball in (C[0, 1], \(d_1\)) is open in (C[0, 1], \(d_{\infty}\)).
The famous poet Amir Khusrau was contemporary of all except following : (1) Alauddin Khilji (2) Ghiyasuddin Balban (3) Iltutmish (4) Jalaluddin Khilji
Match the artists and their art-form. Artist A. Sanjukta Panigrahi B. M. Gopala Krishna Iyer C. Pt. Ravi Shankar D. Palghat Mani Iyer Artform 1. Sitar 2. Mridangam 3. Violin 4. Odissi dance A B C D (1) 3 2 4 1 (2) 4 3 1 2 (3) 2 4 3 1 (4) 1 3 2 4
The Third Battle of Panipat was fought between (1) the Marathas and the Afghans (2) the Marathas and the Mughals (3) the Mughals and the Afghans (4) the Marathas and the Rajputs
The tomb of Jahangir was built at (1) Gujarat (2) Delhi (3) Lahore (4) Agra
Which greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?