The HCF of two numbers is 4 and the two other factors of LCM are 5 and 7. Find the smaller of the two numbers.

A sum of money becomes eight times of itself in 3 years at compound interest. The rate of interest per annum is 

What is the area of the largest triangle that can be fitted into a rectangle of length 'l' units and width 'w' units?

If $$ {(x-2)^{2}+(y-{1\over2})^{2}}=0$$, then the value of $$ {x\over y}$$ is

What can be the maximum number of common tangent, which can be drawn to two non-intersecting circles? 

The number of students in a school increases and decreases by 10% respectively in every alternate year. If there was increase in the year 2000 then in how much percentage what happened in the number of students in the vear 2003 in comparison to year 2000.

Find the value of $$ (2 {1\over6}+1 {13\over18}-{1\over6}) × {16÷4}$$

If x is real then the minimum value of (x²-x-1) is :