For the following questions answer them individually
D and E are mid-points of sides AB and AC respectively of the ΔABC. A line drawn from A meets BC at H and DE at K.
AK : KH = ??
If $$\surd{33} = 5.745$$, then the value of the following is approximately:
$$\surd{\left(\frac{3}{11}\right)}$$
$$\left(\frac{\sin 47^\circ}{\cos 53^\circ}\right)^2 + \left(\frac{\cos 43^\circ}{\sin 47^\circ}\right)^2 - 4 \cos^2 45^\circ$$
The greatest four digit number which is exactly divisible by each one of the numbers 12, 18, 21 and 28.
A train passes an electrical pole in 20 seconds and passes a platform 250 m long in 45 seconds. Find the length of the train:
An epidemic broke out in a village in which 5% of the populatin died. Of the remaining, 20% fled our of panic. If the present populatin is 4655, then the population of the village originally was:
A pipe can fill a tank in 24hrs. Due to a leakage in the botom, it is filled in 36 hrs. If the tank is half full, how much time will the leak take to take to empty the tank?
The difference between simple interest and the true discount on Rs.2400 due 4 years hence at 5% per annum simple interest is: