Latest Questions

A cyclotron can accelerate___?

Let $H$ be a proper subgroup of a finite p-group $G$ . If $H=p^s$ , then prove that there is a subgroup of $G$ order $p^{s+1}$ containing $H$ .

The Great Wall of China was built by
(1) Li-tai-pu            (2) Shih Huang-ti
(3) Lao-tze             (4) Confucius

परमाणु विद्धुततः होते है
 
A.धनात्मक रूप से
 
B.ऋणात्मक रूप से
 
C.द्विधनात्मक रूप से
 
D.उदासीन रूप से

हरियाणा राज्य के कुरुक्षेत्र जिले के किस स्थान पर श्रीकृष्ण भगवान ने अर्जुन को गीता का उपदेश दिया था ?

 (a) कालेश्वर तीर्थ

 (b) ब्रह्मा सरोवर

 (c) ज्योतिसर सरोवर

 (d) मारकाण्डेय तीर्थ

एक कार 840 किमी की दुरी एक निश्चित समान चाल से तय करती है यदि कार की चाल 10 किमी प्रति घंटा अधिक होती तो इस दुरी को तय करने में 2 घंटे कम लगते कार की वास्तविक चाल ज्ञात कीजिये?

 (a) 45 किमी प्रति घंटा

 (b) 60 किमी प्रति घंटा

 (c) 50 किमी प्रति घंटा

 (d) 42 किमी प्रति घंटा

What is the unit of magnetic flux?

(a) Show that all the solutions of the linear equation $u^\prime +a(t)u = 0, \ t \in [0,\infty)$, where $a:[0,\infty) \rightarrow [0,\infty)$ is a continuous function, are always bounded if $\int_0^\infty a(s)ds < \infty$ .

(b) Consider the equation $(1+t)^2u^\prime - u = 0, \ t \in [0,\infty)$ .

(i) Find the unique solution.

(ii) Show that $\mid u(0) \mid \le \mid u(t) \mid < \mid u(0) \mid e$, for all $t \in [0 ,\infty)$ . How you are connecting this result with the problem $(2) (a)$ ?

‘Charak’ was the famous court physician of
(1) Harsha
(2) Chandra Gupta Maurya
(3) Ashoka                           (4) Kanishka

Which of the following is a wind musical instrument?
(1) Sarod           (2) Nadaswaram
(3) Tabla            (4) Santoor

The India Independence Bill was first presented in the House of Commons in London on:
(1) August 10,1947
(2) August 1,1947
(3) July 14,1947
(4) July 4,1947

The Ajanta pantings belong to the
(1) Harappan period
(2) Mauryan period
(3) Buddhist period
(4) Gupta period

Let $R=C([0,1])$ be the ring of continuous real-valued functions on the interval $[0,1]$. Let $T \subseteq [0,1]$, and let

   $I(T) = \{f \in R : f(x) =0 \forall x \in T \}$ .

(i) Prove that $I(T)$ is an ideal of $R$.

(ii) If $x \in [0,1]$ and $m_x =I(\{x\})$, show that $R/M_x \cong \mathbb{R}$, and hence $M_x$ is a maximal ideal of $R$.

If the doors of a refrigerator are left open for a few hours, the room temperature will____?

What did Gandhiji meant by ‘Sarvodaya’?

(1) Non-violence
(2) Upliftment of untouchables or dalits
(3) The birth of a new society based on ethical values
(4) Satyagraha

Where in India was the first French factory established?
(1) Surat
(2) Pondicherry
(3) Chandannagore
(4) Masulipatnam

_____ is a group of instruction that directs a computer?

Who was the town-planner of Chandigarh?
(1) Edward Lutyens
(2) Charles Correa
(3) Le Corbusier
(4) Christopher Wren