For the following questions answer them individually
Walking at $$\frac{3}{4}$$ of his usual pace, a man reaches his office 20 minutes late. Find his usual time.
If the difference between the simple and the compound interests on some principal amount at 20% for 3 years is Rs 48, then the principal amount must be
In a zoo, there are rabbits and pigeons. If their heads are counted, these are 90 while their legs are 224. Find the number of pigeons in the zoo.
The sides of a rectangular field are in the ratio 3 : 4 with its area as 7500 sq m. The cost of fencing the field @ 25-paise per metre is
A and B together can do a piece of work in 6 days. A alone can doit in 10 days. What time will B require to do it alone ?
A square and an equilateral triangle have the same perimeter. If the diagonal of the square is $$12 \surd2$$ cm, then the area of the triangle is
Acistern is filled in 5 hours and it takes 6 hours when thereis a leak in its bottom. If the cistern is full, in what time shall the leak empty it?
The radius of the circumcircle of an equilateral triangle of side 12 cm is
The sides of a triangle are 6 cm, 11 cm and 15cm. The radiusofits incircle is
The sum of the interior angles of a polygon is 1620. The number of sides of the polygon must be