Latest Questions

Which is a device that changes information into digital form?

Who of the following became a member of the “Din–i–Ilahi”?
(1) Todarmal
(2) Raja Birbal
(3) Raja Man Singh
(4) Tansen

India was granted freedom during the British Prime Minister :

(1) Clement Attlee
(2) Winston Churchill
(3) Ramsay MacDonald
(4) William Pitt

The number of ways in which we can choose a committee from four men and six women so that the committee includes at least two men and exactly twice as many women as men is
(A) 94
(B) 126
(C) 128
(D) None

किसी त्रिभुज के शीर्ष क्रमशः (6, 1), (2, 4) तथा (a, b) है त्रिभुज का केन्द्रक (8, 4) हो तो त्रिभुज का तीसरा शीर्ष (a, b( ज्ञात कीजिये?

 (a) (16, 1)

 (b) (1, 7)

 (c) (16, 7)

 (d) (7, 16)

एक वृत तथा एक वर्ग का कुल क्षेत्रफल 5450 वर्ग सेमी. है तथा वृत का व्यास 70 सेमी है वृत की परिधि तथा वर्ग की परिमिति का योग कितना है?

 (a) 360 सेमी

 (b) 380 सेमी

 (c) 270 सेमी

 (d) इनमे से कोई नही

Akbar held his religious discussion in

(1) Jodhabai’s Palace
(2) Panch Mahal
(3) Ibadat Khana
(4) Buland Darwaza

Prove that

\(u_c(t) = \left\{ \begin{array} 00 \ for \ 0 \le t \le c, \\ (t-3)^3, \ for \ c\le t < \infty , c>0, \end{array}\right.\)

 is a solution of  \(u^\prime = 3u^{2/3},u(0)=0 .\)

Who among the following did Gandhiji regard as his political Guru?
(1) Mahadev Desai
(2) Dayanand Saraswati
(3) Acharya Narendra Dev
(4) Gopal Krishna Gokhale

The ‘Sun Temple’ of Konark is in the State of
(1) Odisha
(2) Jharkhand
(3) Andhra Pradesh
(4) Madhya Pradesh

Where do you find the temple of Angkor Wat?
(1) In Thailand                         (2)In Malaysia
(3) In Cambodia                      (4)In Myanmar

Let \(R\) be an integral domain and let \(x \in R \backslash\{0\}\) . Show that \(R \cong Rx\) as R-submodules. But \(R \cong Rx\) as rings if and only if \(x\) is a unit in \(R\).

Who was the ruler of Delhi when Ahmad Shah Abdali defeated the Marathas in the Third Battle of Panipat in 1761?

(1) Alamgir \(\mathrm{I}\)
(2) Muhammad Shah
(3) Jahandar Shah
(4) Shah Alam \(\mathrm{II}\)

Visualize the open ball B(f, R) in \(\left(C[0,1],d_{\infty}\right)\), where f is the identity function. We say that Y ⊆ X is open in X if for every y ∈ Y, there exists r > 0 such that B(y, r) ⊆ Y, that is,

{z ∈ X : d(z, y) < r} ⊆ Y.

Which bank launched Facebook based fund transfer platform KayPay-? 

A mirror produces magnified erect image of an object. The nature of the mirror is_____?

In Afghanistan two towering Buddha statues were destroyed at

(1) Kandahar                    (2) Yakaolong
(3) Bamiyan                      (4) Mazar-i-Sharif

Let \(X= {\Pi^{\infty}_{n=1}} \{0,1\}\). Show that \(X\) is not compact in the box topology. Whether \(X\) is compact in the product topology ?