A sum of Rs. 13.600 amounts to Rs.16.456 at compound interest in a certain time at a certain rate percent per annum. What
will the same sum amount to at the same rate hi half the earlier time?
1). Rs. 14,840
2). Rs. 14,960
3). Rs. 14,980
4). Rs. 15,840
When a + b + c = 0, then the quadratic equation $3ax^{2}+2bx+c=0$ has :
1). Imaginary roots
2). At least one root in [0, 1]
3). One root in [-2,-1] and other root in [2, 3]
4). One root in [-2, -1] and other root in [1, 2]
If $ f(z)=(x^{2}+axy+by^{2})+i(cx^{2}+dxy+y^{2})$ is an analytic function of z. then the values of a, b, c and d are :
1). a = 2, b = -1, c = -1, d = 4
2). a = -2, b = 1, c = -1, d = 2
3). a = 2, b = 1, c = -1, d = -2
4). a = 2, b = -1, c = -1, d = 2
Kumar walks 6 km to the east and then turns to the south to walk 2 km. He again turns to the east and walks 2 km. Next,
he turns northwards and walks 8 km. How far is he now from his starting point?
1). 10.5 km
2). 12 km
3). 8 km
4). 10 km
The polar form ot the complex number $\left(\frac{2+i}{3-i}\right)^{2}$ is :
1). $\frac{1}{2}\left(cos \frac{\pi}{4}-i sin\frac{\pi}{4}\right)$
2). $\frac{1}{2}\left(cos \frac{\pi}{2}-i sin\frac{\pi}{2}\right)$
3). $\frac{1}{2}\left(cos \frac{\pi}{4}+i sin\frac{\pi}{4}\right)$
4). $\frac{1}{2}\left(cos \frac{\pi}{2}+i sin\frac{\pi}{2}\right)$