A and B has a number of mangoes. A says to B "If you give me `30` of your mangoes, my number will be twice of yours". B replies "If you give me `10`, my number will be thrice of yours". How many mangoes each has?

How will you estimate the number of air molecules in your room ?

One says,"Give me hundred,friend!?I shall then become twice as rich as you ".The other replies,"If you give me ten,I shall be six time as rich as you ".Tell me what is the amount of their (respective) capital ?[From the Bijaganita of Bhaskara 11]

Lakshmi is a cashier in a bank. She has currency notes of denominations Rs 100, Rs 50 and Rs 10, respectively. The ratio of the number of these notes is 2:3:5 . The total cash with Lakshmi is Rs. 4,00,000. How many notes of each denomination does she have?

Work Problem on Time and Work A and B working together can complete a work in eight days. After working for five days together, A has left away and B completed the work in nine days working alone. Find the number of day required by each of them to complete the work alone.

India has-a long and unbroken tradition of great scholarship in mathematics, astronomy, linguistics, logic and ethics. Yet, in parallel with this, several superstitious and obscurantic attitudes and practices flourished in our society and unfortunately, continue even today — among many educated people too. How will you use your knowledge of science to develop strategies to counter these attitudes ?