The price of commodity X increases by 40 paise every year, while the price of commodity Y increases by 15 paise every year. If in 2004, the price of c...

The number of distinct integer solutions (x,y) of the equation |x+y|+|x−y|=2 , is ...

For some constant real numbers p,k and a , consider the following system of linear equations in x ...

For some real numbers $$ a $$ and $$ b $$, the system of equations $$ x + y = 4 $$ and $$ (a + ...

If $$ a $$ and $$ b $$ are non-negative real numbers such that $$ a + 2b = 6 $$, then the avera...

A donation box can receive only cheques of ₹100, ₹250, and ₹500. On one good day, the donation box w...

In the Delhi zoo, there are some ducks and rabbits. If the heads are counted, there are 160, while t...