Four persons - Ahmed, Burman, Chhaya, and Deepak, in that order, occupy the four corners of a square of side $a$ in clockwise order.
Ahmed and Burman start walking simultaneously towards Burman and Chhaya respectively along the edges of the square. Both stop walking when Burman reaches Chhaya.
Now, if the distance between Ahmed and Burman is $a/2$, which of the following statements must be false?
Ahmed has walked a distance of only $3a/2$
Ahmed walks faster than Burman.
Ahmed might have walked for a distance of more than $2a$
Ahmed might have to travel a distance of $3a/2$ more to get back to his original position.
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