For the following questions answer them individually
ABCD is a quadrilateral inscribed in a circle (radius = $$r$$). The bisectors of the angles DAB and BCD intersect the circle at X and Y, respectively. What is the length of the straight line XY?
What is the least number that when divided by 63 and 105 leaves remainder 4 in each case?
If $$+$$ means $$\div$$, $$-$$ means $$+$$, $$\times$$ means $$-$$ and $$\div$$ means $$\times$$ then find the value of $$27 \div 15 - 36 + 6 $$?
Raghu goes to college at a speed of 4 kmph and returns at a speed of 3 kmph. If he takes 5.95 hrs in all, then what is the distance between his home and the college?