Naina was given `1 1/2` piece of cake and Najma was given ` 1 1/3` piece of cake.Find the total amount of cake given to both of them.

The scale of a map is given as 1:30000000. Two cities are 4 cm apart on the map. Find the actual distance between them.

Pranav, Vishu, Vinni, Ritika bought a cake. Pranav ate 1/3 of the cake. Vishu and Vinni ate 1/4 of the cake. Ritika ate 1/5 of the cake. Who ate more cake? How much cake was eaten altogether. How much cake was left?

When a = 0, b = – 1, find the value of the given expressions 2a^2 + b^2 + 1

A problem is given to three children, whose chances of solving it are 1/3 , 1/5 and 1/6 , what is the probability that : At least one of them may solve. it.

A and B appear for interview. The probability of their selection is : 1/3 and 1/4 respectively.Find the probability that both of them are selected.

Given cos 45^@=1/sqrt2 , find the value of cos 22 1^@/2 .

Find the equations of the tangent and normal to the given curves at the points given y = x^3 at (1,1)

A problem in satistics is given to three students whose chances of solving it are 1/2,1/3 or 1/4 respectively. What is the probability that only one of them solve it correctly.

One kind of cake requires 200g of flour and 25g of fat, and another kind of cake requires 100g of flour and 50g of fat. Find the maximum number of cakes which can be made from 5kg of flour and 1 kg of fat assuming that there is no shortage of the other ingredients used in making the cakes.