Question

The angry Arjun carried some arrows for fighting with Bheeshm. With half the arrows, he cut down the arrows thrown by Bheeshm on him and with six other arrows, he killed the chariot driver of Bheeshm. With one arrow each, he knocked down respectively the chariot, the flag and the bow of Bheeshm. Finally, with one more than 4 times the square root of arrows, he laid below Bheeshm unconscious on the arrow bed. Find the total number of arrows Arjun had.

Answer 1

Let the total number of arrows be a. 

As per the question :

O.5 a + 6 + 1 + 1 + 1 + (1 + 4x  - `sqrt a` ) = a 

4x - `sqrt a` = 0.5 a - 10

Squaring both the sides, we get 

16 a = 0.25a² + 100 - 10a 

Solving and multiplying both sides by 4, we get 

a² -104 a +400 = 0

a² - 100a - 4a + 400 = 0

a (a - 100) - 4(a - 100) = 0

(a - 100) (a - 4) = 0 

Hence, a = 100 or 4. 

It can't be 4 as Arjun has thrown more than 4 arrows. 

Hence no. of arrows = 100